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29. + -/2 points SCalcETSM 3.9.002.
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(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
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30.
+ -/1 points SCalcET8M 3.9.005.MI.
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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
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31. + -/1 points SCalcETSM 3.9.006.
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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
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09:29
10/10/2019

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31. +-/1 points SCalcET&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
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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 ) =
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33. +-/2 points
SCalcET&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

Top Answer

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

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