If f: R → R is a function such that f'(4) = f'(8) = 0 and f"(x) = 18x - 108 so, f(m) is a local maximum for m equal to O a) 18 Ob) 6 O c) 4 O d) 8

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A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

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Q: Q6A)If y=sin-¹ find Zxy.

A: partial derivative

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A: To find the domain and range of the function graphed below. To use the interval notation.

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A: Given function f(x)=125-x2we know that fraction abis defined when b≠0the function is not defined…

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve.

A: answer is in next step . please give a like !!

Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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A: The given limit is: limx→4+3+xx-4x+2

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A: Follow the procedure given below.

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A: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

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A: Given

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Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = Triple integration. 1 using

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Q: B)Solve the differential equation **

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A: FOR the graph represented by drawing below ,find all the edges that are incident on V1

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A: Given, ∫0π4141-cos12xdx

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A: ∫π6π4(5-2secθtanθ)dθ

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Q: Cos y dy 1-siny

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Q: Bonus ( Show that given R: x € [0,1] Ay € [0,2] [[3x²yexydy dx = 6

A: See this solution in below

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Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: S(x + ex+1) dx 0 2. Sx5¹2 (x³ + x² - 7) dx 0 2x + 1 3. dx 2 0 e

A: Topic = Integration