Consider the following. 6 X dx x² + 36 (a) Evaluate the integral with the Fundamental Theorem of Calculus. (Give an exact answer. Do not round.) log 3 (b) Evaluate the integral with a graphing calculator (as a check). (Round your answer to three decimal places.)

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: A. C.B. D.C. -60D. C. Explanation:Approach to solving the question and detailed explanation: (A)…

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Q: 7. Let f be function such that f(1)=7andf′(1)=12. Find h′(1) for the function h(x)=f(x)f(x).

A:

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A: To find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point ( 2π/2,…

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A: Consider To find the maximum value of  such that, if .

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A: 1)The characteristics polynomial  is x3−3x2−9x−52) λ=5is an eigen value of matrix AExplanation:

Q: How would I integrate 1/ln(x)? (Having only done calculus 2)

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Therefore, the value of k that will make the planes π1​ and  π2​​ perpendicular is k=6.Explanation:

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A:

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A: we use the method of substitution to evaluate the given integral.

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A: Given the data about the vectors.

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A: Please find the attached file for details....Thank you...Explanation:

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A:

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A: Final answers: (1)   d (2)  cExplanation:###(1)For two planes to be coincident, their normal vectors…

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A: To solve the following initial value problem.

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A: To find the derivative of  at   by  using Logarithmic differentiation.

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Q: ii) siny+x= y.

A:

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A: The answer is given below Explanation:

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A:

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Answer is given below :-Explanation:

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A:

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A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

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A: Answer is given below :-Explanation:

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A:

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A: According to the definition of derivative we can write as follows Given Function

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A:

Q: just part a please

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

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A: (a) Compare the  and  to get

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A: The Western community is composed of  students, staff, and faculty. Students make  up 55% of the…