Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 13.4, Problem 4PT
To determine
To choose: The appropriate option for the tangential components of acceleration for
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Find the tangential and normal components of acceleration for the position function given by
7 (t) = (-t³ + 2t +t – 3, –2t – 5, 2t – 3t2)
at t = 0.
If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.
Find the acceleration vector.
r(t) = (cos 3t)i + (2 sin t)j
%3D
O a = (-9 cos 3t)i + (-2 sin t)j
O a = (-3 cos 3t)i + (2 sin t)j
O a = (9 cos 3t)i + (-2 sin t)j
O a = (-9 cos 3t)i + (-4 sin t)j
Consider R = xi +yj+zk and r =
a constant vector
A = a1 +a2 í + az k:
What is (A. V)R in terms of A?
What is V?r-1.
Note: You could directly write similar derivatives once you evaluate
one of them.
Chapter 13 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 13.1 - For r(t)=sinticost4j,r(3)= a) 32i+22j b) 22i+32j...Ch. 13.1 - The curve given by r(t) = 2i + tj + 2tk is a: a)...Ch. 13.1 - Prob. 3PTCh. 13.1 - Prob. 4PTCh. 13.1 - Prob. 5PTCh. 13.2 - For r(t)=t3i+sintj(t2+2t)k,r(0)= a) j 2k b) 3i ...Ch. 13.2 - True or False: [r(t)s(t)]=r(t)s(t)+s(t)r(t).Ch. 13.2 - Prob. 3PTCh. 13.2 - Prob. 4PTCh. 13.3 - Prob. 1PT
Ch. 13.3 - Prob. 2PTCh. 13.3 - Prob. 3PTCh. 13.3 - Prob. 4PTCh. 13.3 - Prob. 5PTCh. 13.3 - True or False: If f is twice differentiable and x0...Ch. 13.3 - Prob. 7PTCh. 13.4 - Prob. 1PTCh. 13.4 - Find the position function for which (at t = 0)...Ch. 13.4 - The force needed for a 10-kg object to attain...Ch. 13.4 - Prob. 4PT
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- If r(t) is the position vector of a particle in the plane at time t, find the acceleration vector. r(t) = (6 cos t)i + (3 sin t)j O A. a(t) = (6 sin t)i + (3 cos t)j OB. a(t)= (-6 cos t)i + (− 3 sin t)j a(t) = (-6 sin t)i + (− 3 cos t)j O C. O D. a(t) = (6 cos t)i + (3 sin t)j 4arrow_forwardq5arrow_forwardConsider the vector-valued function R (t) = ( 8/3 t 3− t, 2t2 , 2 − 2t2 ) - Find II R(t) II (Simplify the answer please) - Find the distance traveled by a particle moving along the curve from the point where t = −1 to the point where t = 2.arrow_forward
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