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Q: Find the radius of convergence and interval of convergencE of the power series. (x 25. E 2)" n=1 n"

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A: The given integral is e4x/(4e2x+9)3/2.

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A: Solution:∫sin4xcos5xdx∫sin4xcos4xcosxdx∫sin4xcos2x2cosxdx∫sin4x1-sin2x2cosxdxlet, sinx=tcosxdx=dt

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A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

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A: Evaluate the integration using the fundamental theorem of calculus.

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Q: Question 4 x2 dx Using an appropriate trigonometric substitution, the integral reduces to 1+x2 A)…

A: ∫x2x2+1dx

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Q: Find the linearization of the function f(x, y) 155 – 2x2 – 5y² at the point (5, 4). L(x, y) = Use…

A: Given:      f(x,y) = √ (155 - 2x2 - 5y2 )     Point : ( 5 , 4 )  Now     Linear approximation f (…

Q: Find the radius of convergence and interval of convergenc of the power series. 17. E (-1)"4" x" yn…

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A: To find the given integral is equivalent to which integral.

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Q: Question 4 sin'x cos'x dx Evaluate: (1– sinx)²(1+ sinx)? Can't be evaluated sin"x sin 10% +C 10 sin…

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Q: Find the critical points of the following function. 14x f(x) x2 + 49 Select the correct choice below…

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Q: To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the…

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Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

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Q: 2. Create your own example of convergent series containing 5 terms. Explain what makes it…

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Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral-…

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Q: Evaluate the line integral, where C is the given curve.       Cxy ds,    C: x = t2,    y = 2t,    0…

A: Given:        C xy ds ,      x = t2      y = 2t       0 ≤ t ≤ 1