What is the change in volume with respect to time at t = 4s? Given: dv/dt = 12t^5 cm^3/s

Q: Find the area under the curve y = 1/(5³) from x = 1 to x = t and evaluate it for t= 10, t = 100.…

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Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

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Q: Find the rate of change of the volume of the increasing radius of a sphere when r=11. V=4/3*pi*r^2.,…

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Q: Find the area under the curve y = 1/(6³) from x = 1 to x = t and evaluate it for t = 10, t = 100.…

A: To find the area under the curve  and to evaluate it for . Then to find the total area under this…

Q: Let V(t) be the volume, in cubic inches of a balloon that is being filled with air after 't seconds.…

A: The derivative of a real valued function interprets the rate of changing of the function. It has a…

Q: tr'and its surface area is 4ar. Determine the rate at which the volume is changing with respect to…

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Q: Liquid feed at a rate of 8 L/min is introduced into a cylindrical tank with a bottom area of 335…

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Q: y=e^x , 0<=x<=ln2 curve part. It rotates around the X axis. What is the area of ​​the surface formed

A: Topic : application of integration

Q: The edge of an expanding cube is changing at the rate of 2.3 cm/s at the instant its edge is 18.3 cm…

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Q: How to compute for the differential volume of each coordinate system and its phase area?

A: Hints: We have to discuss that how to compute for the differential volume of each coordinate system…

Q: The volume of an object is given by the equation V (t) = 2t^2 −t^3, where t is time. (a) Find the…

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Q: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

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Q: A rectangle is inscribed in the ellipse 16 x2 + 81 y2 = 1296 Find the rate of change of the…

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Q: Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy…

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Q: If y (x) =Ae^ikx for -L/2sxsL/2 ,normalize it, then A= .I O 2L .II O .III

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Q: The surface area of the sphere is decreasing at the rate of 20 cm^2/sec when the radius is 15 cm.…

A: The given problem is to find the rate of change of radius and rate of change of volume of sphere…