Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the line x – -3t. %3D Equation:

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A: This question is related to Mean value theorem, we will solve it using given information.

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A: Follow the procedure given below.

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A: Let's find.

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A: A detailed solution is given below

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A: In this we have to do the integral of given function so I'm providing hand written solution for this

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Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

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Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

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A: We can solve the given differential equation by using the method of undetermined coefficients.

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Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x&gt;5 To evaluate ∫010fxdx