HW13. 17 V=nr?h dv dt 2. at पहछग) du 2. dt 3.5 Related Rates 299 of 15. Suppose the radius r, height h, and volume V of a dV cylinder are functions of time t. How is dr related to dt dt if the height of the cylinder is constant? 16. Suppose the radius r, height h, and volume V of a cylinder are functions of time t. How is dV dh related to dt dt if the radius of the cylinder is constant? 17. Suppose the radius r, height h, and volume V of a cylinder are functions of time t, and further suppose that the height of the cylinder is always twice its radius. Write dV in terms of h and dt dh dt 18. Suppose the radius r, height h, and volume V of a cylin- der are functions of time t, and further suppose that the dr in dt volume of the cylinder is always constant. Write dh terms of r, h, and dt 26. The area A and hypotenuse c of a triangle that is similar to a right triangle with legs of lengths 3 and 4 units and hypotenuse of length 5 units. u(t), v = v(t), and w = w(t) are functions of the derivative df Giyen that u = %D1 of each

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Number 17 please. My progress is attached but I am stuck after attempting to take the derivative of h

HW13.
17
V=nr?h
dv
dt
2.
at
पहछग)
du
2.
dt
Transcribed Image Text:HW13. 17 V=nr?h dv dt 2. at पहछग) du 2. dt
3.5 Related Rates
299
of
15. Suppose the radius r, height h, and volume V of a
dV
cylinder are functions of time t. How is
dr
related to
dt
dt
if the height of the cylinder is constant?
16. Suppose the radius r, height h, and volume V of a
cylinder are functions of time t. How is
dV
dh
related to
dt
dt
if the radius of the cylinder is constant?
17. Suppose the radius r, height h, and volume V of a
cylinder are functions of time t, and further suppose that
the height of the cylinder is always twice its radius. Write
dV
in terms of h and
dt
dh
dt
18. Suppose the radius r, height h, and volume V of a cylin-
der are functions of time t, and further
suppose that the
dr
in
dt
volume of the cylinder is always constant. Write
dh
terms of r, h, and
dt
26. The area A and hypotenuse c of a triangle that is similar
to a right triangle with legs of lengths 3 and 4 units and
hypotenuse of length 5 units.
u(t), v = v(t), and w = w(t) are functions of
the derivative
df
Giyen that u =
%D1
of each
Transcribed Image Text:3.5 Related Rates 299 of 15. Suppose the radius r, height h, and volume V of a dV cylinder are functions of time t. How is dr related to dt dt if the height of the cylinder is constant? 16. Suppose the radius r, height h, and volume V of a cylinder are functions of time t. How is dV dh related to dt dt if the radius of the cylinder is constant? 17. Suppose the radius r, height h, and volume V of a cylinder are functions of time t, and further suppose that the height of the cylinder is always twice its radius. Write dV in terms of h and dt dh dt 18. Suppose the radius r, height h, and volume V of a cylin- der are functions of time t, and further suppose that the dr in dt volume of the cylinder is always constant. Write dh terms of r, h, and dt 26. The area A and hypotenuse c of a triangle that is similar to a right triangle with legs of lengths 3 and 4 units and hypotenuse of length 5 units. u(t), v = v(t), and w = w(t) are functions of the derivative df Giyen that u = %D1 of each
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