Determine the following indefinite integral. 5-6 sin¹ (2) cos(x) dx

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

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A: Limn-infinity [sqrt(n) (sqrt(4n+1)-sqrt(4n))]

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Q: For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2…

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Q: The derivative F' (t) is graphed in the figure below. Given that F (0) = 12, calculate F(t) for t =…

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Q: d. h(x) = x3 3 -2 - 2x² + 4x, 0≤ x < ∞0 e. f(x) = √25-x², -5 ≤x≤ 5 f. g(x) = 0≤x≤ 1 x-2 x²-1'

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Q: Determine the moment of inertia of the area about the x axis. ' 2 in. 4y=x² T 1 in. X

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) =…

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Q: Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y—…

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Q: Express the function as a power series by first using partial fractions. f(x)= 2x+5 x2+5x+4

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Q: ∞ 4. Apply the Ratio Test to the series [ the limit lim n→∞ (3n)! n=12¹ (n!)3 an+1 an and find

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Q: x+6 (x + 2)2 dx

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Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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