For the function f(x) = 4x² + 4x, evaluate and simplify. f(x+h)-f(x) h =

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A: Refer to the photosExplanation: Use a graph paper , for more accurate diagram.

Q: Algebraically: lim /x+8-2 x-4x²+2x-8

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Q: 2. Sketch the cylinder y = x² +1.

A: complete graph provided below with python code Explanation:  code behind above :  import numpy as…

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A: To determine whether the series converges absolutely, conditionally or diverges.

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Q: Differential equation: dr/dt=((6t^2)-3)i-j+1/(1+t)^1/2 Initial condition: r(0)=-4i+8j+7k

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A: Solution is following in explanation step.