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Q: Solve the following differential equation that satisfies the given initial condition.

A: We first separate the variables and then integrate C= integrating constant

Q: Differentiate the function: f(x) = x44x

A: We assume u and v, then find u' and v'

Q: 6. The water level in a conical reservoir 50 ft deep and 200 ft across the top is falling at the rat...

A: At any time t, let the height of the water be h ft and the diameter of the cone formed by the volume...

Q: 9

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Q: A point is given in polar coordinates. Convert the point to rectangular coordinates. (s, 3) Зл (х, у...

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Q: VII. Simplify the trigonometric expressions: a) 1-cos sinz cscz b) 1+secz 1+cus

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Q: | the areas of the regions enclosed by the curves and lines y = x, y = 1/x², x= 2

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Q: find the solution of the given initial‑value problem. Then plot a graph of the solution.y′′′−y′′+y′−...

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Q: Solve the equation for exact solutions over the interval [0°,360°). 7sines (theta Over 2) =7 ...

A: We have