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- Let X - Exponential (1) . Find the density of Y = 1+X'Differentiate. y =t / (t- 1) 2The volume V of a right circular cylinder of radius and height is V = mr³h. (a) How is dV related to if his constant and varies with time? (Enter as dr/dt.) dt dV dt (b) How is related to if is constant and varies with time? (Enteras dh/dt.) dV dt (c) How is related to hand if both hand vary with time? dV dt
- Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = eV7 (g(x), f(u)) =Q5/ Determine the total differential If Z = f(x,y) = x²y², x = 2rcose, y = 2rsineLet r(x) = f(g(h(x))), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). %3D r'(1) = Need Help? Read It Watch It