View the step-by-step solution to:

Question

29. + -/2 points SCalcETSM 3.9.002.
My Notes
(a) If A is the area of a circle with radius / and the circle expands as time passes, find dA/dt in terms of dr/dt.
dt
(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 30 m?
m /s
Need Help?
30.
+ -/1 points SCalcET8M 3.9.005.MI.
A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m /min. How fast is the height of the water increasing?
m/min
Need Help?
Watch It
Master It
31. + -/1 points SCalcETSM 3.9.006.
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 40 mm?
mm-/'s
Need Help?
09:29
10/10/2019

X
31. +-/1 points SCalcET&amp;M 3.9.006.
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 40 mm?
mm /s
Need Help?
32. + -/1 points SCalcET8M 3.10.002.
Find the linearization L(x) of the function at a.
f(x) = sin(x), a = 1
L( x ) =
33. +-/2 points
SCalcET&amp;M 3.10.013.
Find the differential of each function.
(a) y = tan(v 3t)
dy =
y = 2- v2
2 + 42
dy =
e
9
DELL

29 . As we know Area of circle is A= *r 2 As per the question we need to differentiate with respect to time dA/dt= 2 r... View the full answer

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents