Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10, Problem 41SP
To determine
To find: The velocity V, the speed
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(2) A particle is moving along the path given by ~c(t) = (t^4 − 4t, t^3 + t).
(a) Compute the velocity vector of ~c(t).
(b) What speed is the particle traveling at time t = 0?
(c) Does the particle ever come to a stop?
(d) Suppose the particle stopped accelerating at time t = −2 and flew off in a straight line. Where would the particle be at time t = −1.
How would I have found the velocity v(t) and acceleration a(t) of the following?
Suppose z is given implicitly by the equation:
x3y − yz2 +zx=−5
in a neighborhood of the point P (1, 1), in which z = −2. The value of the directional derivative of z at P in the direction of the vector w = (3, 4), corresponds to:
Answers:
A) −3/25B) 3/5C) 3/25D) −3/5
Chapter 10 Solutions
Calculus
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