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(1 point) If the radius of a sphere is increasing at a constant rate of 3...
The radius r of a sphere is increasing at a rate of 3 inches per minute.
The radius r of a sphere is increasing at a rate of 3 inches per minute. (a) Find the rate of change of the volume when r = 9 inches. (b) Find the rate of change of the volume when r = 36 inches.
Problem 1. (a) The radius of a sphere is increasing at a rate of 4 mm/s....
Problem 1. (a) The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 80 mm? dy dx (b) If x+y+z-9, dt 5, and -4, find dt dz dt when (x, y, z)-(2,2,1). Problem 2. (a) Find the derivative of the function yr e-****** (b) Find the derivative of the function y - In(x* +100). cos. Problem 3. Use logarithmic differentiation to find the derivative of the function...
The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second
The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?
A balloon is being inflated so that its volume is increasing at a constant rate of...
A balloon is being inflated so that its volume is increasing at a constant rate of 200 c.c. per second. How fast is the radius increasing when the radius is 15 cm? Note that the volume is given by v=(4/3)π r^3.
b. The radius of the balloon is increasing at 3 cm/min, find the rate of change...
b. The radius of the balloon is increasing at 3 cm/min, find the rate of change of the volume of the balloon (with units) when the radius is 5 cm. (6) 4. V=-ar 3 Given: Need:
A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute....
A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 40 centimeters and r = 75 centimeters. r = 40 cm/min r = 75 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. The rate of change of the radius is a linear relationship whose slope is dV dt...
a) a sphere of gold with a radius of 12.1 cm. (The volume of a sphere...
a) a sphere of gold with a radius of 12.1 cm. (The volume of a sphere with a radius r is V = (4/3) π r3; the density of gold is 19.3 g/cm3.) -answer in scientific notation (b) a cube of platinum of edge length 0.024 mm (density = 21.4 g/cm3).- answer in scientific notation (c) 66.9 mL of ethanol (density = 0.798 g/mL).- answer in scientific notation
A sphere has radius R = 12.3 measured in cm. What is the volume of this sphere...
A sphere has radius R = 12.3 measured in cm. What is the volume of this sphere measured in in3? (Hint: The volume of a sphere is given by V = 4 3 π R 3 .)
6. (6 pts) An expandable sphere is being filled with liquid at a constant rate from...
6. (6 pts) An expandable sphere is being filled with liquid at a constant rate from a tap (imagine a water balloon connected to a faucet). When the radius of the sphere is 3 inches, the radius is increasing at 2 inches per minute. How fast is the liquid coming out of the tap? (Volume of a sphere = ar") Use appropriate units in your answer.
A solid metal sphere has a radius of 3.39 cm c m and a mass of...
A solid metal sphere has a radius of 3.39 cm c m and a mass of 1.877 kg k g . What is the density of the metal in g/cm3 g / c m 3 ? (The volume of sphere is V=43πr3 V = 4 3 π r 3 .)
Problem 1. (a) The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 80 mm? dy dx (b) If x+y+z-9, dt 5, and -4, find dt dz dt when (x, y, z)-(2,2,1). Problem 2. (a) Find the derivative of the function yr e-****** (b) Find the derivative of the function y - In(x* +100). cos. Problem 3. Use logarithmic differentiation to find the derivative of the function...
b. The radius of the balloon is increasing at 3 cm/min, find the rate of change of the volume of the balloon (with units) when the radius is 5 cm. (6) 4. V=-ar 3 Given: Need:
6. (6 pts) An expandable sphere is being filled with liquid at a constant rate from a tap (imagine a water balloon connected to a faucet). When the radius of the sphere is 3 inches, the radius is increasing at 2 inches per minute. How fast is the liquid coming out of the tap? (Volume of a sphere = ar") Use appropriate units in your answer.
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