Evaluate the integral. 2 [ 3² F(x) f(x) dx where f(x) X if -3 ≤ x ≤ 0 = {/²3 - x² 16x² if 0

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A: a.  for cliff height , put t = 0 Height of cliff = 10 m

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A: Concept: The transformation into a function of time is what the Inverse Laplace Transform is. F(s)…

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A: We can find the length of the radius in the below steps.

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A: Given, y= 12x+e7 Formula: d/dx (ax) = axloga

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A: Topic:- calculus

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A: Please see the below picture for detailed solution.

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A: See this solution in below.

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Q: how do i do this?

A: Let's find slope of tangent line.

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A: We need to determine concavity.

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A: The Solution is given below:

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A: see below the answer and calculation

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A: proof is given below

Q: DIFFERENTIAL EQUATION (6²-2xy²) dy 1. (2y³ +4²) dx = 1 2. 2yy" + (y)² = 0 3. (2xy) dx + (y² + x²)dy…

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A: This is a linear programming problem. The answer is in step 2.

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A: To determine the type, order, degree, and linearity of each of the following differential equation.…

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