The area of a trapezoid is given by A = (a + b) where h is the height and a and b are the lengths of the parallel sides. Find the following derivatives. Use da db dt' and instead of a'(t), b'(t), and h'(t) when needed. Do not simplify your answers. dt (a) If a and b are constant, find dA = dh dh dt (b) If h is constant, but a and b are changing with time, find dA dt (c) If b is constant, but h and a are changing with time, find dA dt

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The area of a trapezoid is given by A =
Find the following derivatives. Use
hla
(a + b) where h is the height and a and b are the lengths of the parallel sides.
2
da db
dt' dt'
and
(a) If a and b are constant, find
dA
dh
dh
dt
instead of a'(t), b'(t), and h'(t) when needed. Do not simplify your answers.
(b) If h is constant, but a and b are changing with time, find
dA
dt
(c) If b is constant, but h and a are changing with time, find
dA
dt
Transcribed Image Text:The area of a trapezoid is given by A = Find the following derivatives. Use hla (a + b) where h is the height and a and b are the lengths of the parallel sides. 2 da db dt' dt' and (a) If a and b are constant, find dA dh dh dt instead of a'(t), b'(t), and h'(t) when needed. Do not simplify your answers. (b) If h is constant, but a and b are changing with time, find dA dt (c) If b is constant, but h and a are changing with time, find dA dt
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