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Q: Consider the region bounded by the graphs of y = sin-1 x, y = 0, and x = 1/2. a. Find the area of th...

A: The given curves are,

Q: Find the center of mass of a thin, flat plate covering the region enclosed by the parabola y2 = x an...

A: To determine the centre of mass of the plate.

Q: In the theory of relativity, the Lorentz contraction formula L = L0 1 − v2/c2 expresses t...

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Q: Solve the exponential growth/ decay initial value problem for y as a function of t by thinking of th...

A: Given,

Q: (9x2+y−1)−(4y−x)y′=0,y(1)=0

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Q: Use a CAS to find the solutions of y′ + y = ƒ(x) subject to the initial condition y(0) = 0, if ƒ(x) ...

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Q: Find the length of the graph of the function y = ln (1 - x2), 0<= x<=1/2.

A: Given:y = ln (1 – x2)

Q: How are the disk and washer methods for calculating volumes derived from the method of slicing? Give...

A: The volume by disks for rotation about the x-axis:

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of ...

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is fu...