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Find the scalar tangential and normal components of acceleration of a particle with position vector Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)


A) Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)     Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)
B) Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)     Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)
C) Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)     Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)
D) Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)     Find the scalar tangential and normal components of acceleration of a particle with position vector   A)      B)      C)      D)

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Given Given    a.Find   and   .  b.Sketch the curve defined by r and the vectors   and   on the same set of axes. a.Find Given    a.Find   and   .  b.Sketch the curve defined by r and the vectors   and   on the same set of axes. and Given    a.Find   and   .  b.Sketch the curve defined by r and the vectors   and   on the same set of axes. . b.Sketch the curve defined by r and the vectors Given    a.Find   and   .  b.Sketch the curve defined by r and the vectors   and   on the same set of axes. and Given    a.Find   and   .  b.Sketch the curve defined by r and the vectors   and   on the same set of axes. on the same set of axes.

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Find equations of the normal plane to Find equations of the normal plane to   at the point (2, 4, 8). at the point (2, 4, 8).

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Find an expression for Find an expression for   . .

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Find parametric equations for the tangent line to the curve with parametric equations Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       at the point with Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)


A) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)
B) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)
C) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)
D) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)

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Let Let   . Find the domain of   . A)    B)    C)    D)    E)   . Find the domain of Let   . Find the domain of   . A)    B)    C)    D)    E)   .


A) Let   . Find the domain of   . A)    B)    C)    D)    E)
B) Let   . Find the domain of   . A)    B)    C)    D)    E)
C) Let   . Find the domain of   . A)    B)    C)    D)    E)
D) Let   . Find the domain of   . A)    B)    C)    D)    E)
E) Let   . Find the domain of   . A)    B)    C)    D)    E)

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B

At what point on the curve At what point on the curve   is the normal plane parallel to the plane   ? A)    B)    C)    D)    E)   is the normal plane parallel to the plane At what point on the curve   is the normal plane parallel to the plane   ? A)    B)    C)    D)    E)   ?


A) At what point on the curve   is the normal plane parallel to the plane   ? A)    B)    C)    D)    E)
B) At what point on the curve   is the normal plane parallel to the plane   ? A)    B)    C)    D)    E)
C) At what point on the curve   is the normal plane parallel to the plane   ? A)    B)    C)    D)    E)
D) At what point on the curve   is the normal plane parallel to the plane   ? A)    B)    C)    D)    E)
E) At what point on the curve   is the normal plane parallel to the plane   ? A)    B)    C)    D)    E)

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A

Find the velocity, acceleration, and speed of an object with position function Find the velocity, acceleration, and speed of an object with position function   for   Sketch the path of the object and its velocity and acceleration vectors. for Find the velocity, acceleration, and speed of an object with position function   for   Sketch the path of the object and its velocity and acceleration vectors. Sketch the path of the object and its velocity and acceleration vectors.

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The curvature of the curve given by the vector function The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)   is The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)   Use the formula to find the curvature of The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)   at the point The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)   .


A) The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)
B) The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)
C) The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)
D) The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)
E) The curvature of the curve given by the vector function   is   Use the formula to find the curvature of   at the point   . A)    B)    C)    D)    E)

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Find the domain of the vector function Find the domain of the vector function   . A)    B)    C)    D)   .


A) Find the domain of the vector function   . A)    B)    C)    D)
B) Find the domain of the vector function   . A)    B)    C)    D)
C) Find the domain of the vector function   . A)    B)    C)    D)
D) Find the domain of the vector function   . A)    B)    C)    D)

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A

Find the acceleration of a particle with the given position function. Find the acceleration of a particle with the given position function.   A)    B)    C)    D)    E)


A) Find the acceleration of a particle with the given position function.   A)    B)    C)    D)    E)
B) Find the acceleration of a particle with the given position function.   A)    B)    C)    D)    E)
C) Find the acceleration of a particle with the given position function.   A)    B)    C)    D)    E)
D) Find the acceleration of a particle with the given position function.   A)    B)    C)    D)    E)
E) Find the acceleration of a particle with the given position function.   A)    B)    C)    D)    E)

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Find parametric equations for the tangent line to the curve with parametric equations Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       at the point with Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)


A) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)
B) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)
C) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)
D) Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)       Find parametric equations for the tangent line to the curve with parametric equations       at the point with   A)        B)        C)        D)

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Find the unit tangent and unit normal vectors Find the unit tangent and unit normal vectors   and   for the curve C defined by  and Find the unit tangent and unit normal vectors   and   for the curve C defined by  for the curve C defined by Find the unit tangent and unit normal vectors   and   for the curve C defined by

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A projectile is fired from ground level with an initial speed of 1100 ft/sec and an angle of elevation of A projectile is fired from ground level with an initial speed of 1100 ft/sec and an angle of elevation of    a.Find the range of the projectile. b.What is the maximm height attained by the projectile? c.What is the speed of the projectile at impact? Round your answers to the nearest integer. a.Find the range of the projectile. b.What is the maximm height attained by the projectile? c.What is the speed of the projectile at impact? Round your answers to the nearest integer.

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a. 32,747 ...

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Two points A and B are located 100 ft apart on a straight line. A particle moves from A toward B with an initial velocity of 9 ft/sec and an acceleration of Two points A and B are located 100 ft apart on a straight line. A particle moves from A toward B with an initial velocity of 9 ft/sec and an acceleration of     . Simultaneously, a particle moves from B toward A with an initial velocity of 2 ft/sec and an acceleration of     . When will the two particles collide? At what distance from A will the collision take place? Two points A and B are located 100 ft apart on a straight line. A particle moves from A toward B with an initial velocity of 9 ft/sec and an acceleration of     . Simultaneously, a particle moves from B toward A with an initial velocity of 2 ft/sec and an acceleration of     . When will the two particles collide? At what distance from A will the collision take place? . Simultaneously, a particle moves from B toward A with an initial velocity of 2 ft/sec and an acceleration of Two points A and B are located 100 ft apart on a straight line. A particle moves from A toward B with an initial velocity of 9 ft/sec and an acceleration of     . Simultaneously, a particle moves from B toward A with an initial velocity of 2 ft/sec and an acceleration of     . When will the two particles collide? At what distance from A will the collision take place? Two points A and B are located 100 ft apart on a straight line. A particle moves from A toward B with an initial velocity of 9 ft/sec and an acceleration of     . Simultaneously, a particle moves from B toward A with an initial velocity of 2 ft/sec and an acceleration of     . When will the two particles collide? At what distance from A will the collision take place? . When will the two particles collide? At what distance from A will the collision take place?

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Reparametrize the curve with respect to arc length measured from the point where Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)   in the direction of increasing Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)   . Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)


A) Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)
B) Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)
C) Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)
D) Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)
E) Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing   .   A)    B)    C)    D)    E)

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Find the following limit. Find the following limit.

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Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations   , from   to   . Round your answer to four decimal places. A)    B)    C)    D)    E) None of these , from Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations   , from   to   . Round your answer to four decimal places. A)    B)    C)    D)    E) None of these to Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations   , from   to   . Round your answer to four decimal places. A)    B)    C)    D)    E) None of these . Round your answer to four decimal places.


A) Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations   , from   to   . Round your answer to four decimal places. A)    B)    C)    D)    E) None of these
B) Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations   , from   to   . Round your answer to four decimal places. A)    B)    C)    D)    E) None of these
C) Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations   , from   to   . Round your answer to four decimal places. A)    B)    C)    D)    E) None of these
D) Use Simpson's Rule with n = 4 to estimate the length of the arc of the curve with equations   , from   to   . Round your answer to four decimal places. A)    B)    C)    D)    E) None of these
E) None of these

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Find the velocity and position vectors of an object with acceleration Find the velocity and position vectors of an object with acceleration   initial velocity   and initial position  initial velocity Find the velocity and position vectors of an object with acceleration   initial velocity   and initial position  and initial position Find the velocity and position vectors of an object with acceleration   initial velocity   and initial position

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If If   , find   . A)    B)    C)    D)    E)   , find If   , find   . A)    B)    C)    D)    E)   .


A) If   , find   . A)    B)    C)    D)    E)
B) If   , find   . A)    B)    C)    D)    E)
C) If   , find   . A)    B)    C)    D)    E)
D) If   , find   . A)    B)    C)    D)    E)
E) If   , find   . A)    B)    C)    D)    E)

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