Write a chain rule formula for the following derivative.
for w = f(x, y, z); x = g(s, t), y = h(s, t), z = k(s)
A. 
= 
+ 
B. 
= 
+ 
C. 
= 
+ 
D. 
= 
Answer: C
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Decide whether or not the events are mutually exclusive.Events A and B defined as followsEvent A is that at least three of Toni's five cousins are female. Event B is that at least three of Toni's five cousins are male.
A. No B. Yes
The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (5t - 4t3)i + 2tan(3t)j + e4tk
A. a
= 2?i + 72j + 16e1/3?k
B. a
= - 2?i + 72j + 16e1/3?k
C. a
= - 2?i - 72j + 16e1/3?k
D. a
= - 2?i - 72j + 16k
Find the function value. If the result is irrational, round your answer to the nearest thousandth.Let f(x) = 4x. Find f
.
A. 1.741 B. 512 C. 32 D. 10
Solve the problem.An airplane is cruising at an altitude of 31,680 ft. What is the plane's altitude in miles?
A. 6 mi B. 5 mi C. 7 mi D. 12 mi