Perform bisection method on approximating the root of the equation x³ + x²-x + 7 = 0. Use initial guess of a = -2 and b = -3. The & of the 3rd iteration is O 5.762% ○ 4.762% O 6.762% O 3.762%

Q: 1. Evaluate the given integral Q. JR (y - 2x) dA, R where R is the region bounded by x = 0, y = x, x…

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Q: Evaluate each limit if exist lim x -> 0 (\sqrt(x+7)- \sqrt(7-x))/(2x) lim x ->3…

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Q: The area of the region bounded by the curve y = x² and the line y = 16 64/3 256/3 128/3 32/3

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Q: 3 fin [ ха Txx² 2 - 1/2 to

A: To evaluate: ∫13lnx21+x212dx=∫1312lnx21+x2dx=12∫13ln x2-ln (1+x2)dx=12∫13(2ln x) dx-12∫13ln(1+x2)…

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Q: 1. Evaluate the given integral Q. = [] [²³² Q L L (x - y) dx dy

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A: A detailed solution is given below.

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Q: 2 √₁² √√x² - 4x + 8

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Q: TC √³x² x² sin3x dx

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Q: Subject: Integral

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Q: 'SC x x x

A: ∫cot2(x)csc3(x) dxWe know that cot2(x)=csc2(x)-1=∫csc3(x)(csc2(x)-1)dx=∫(csc5(x)-csc3(x))dxWe know…

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Q: Directions: apply the limit theorem 3 1. lim x-24 2. lim-45 x-2 62 3. lim x 2 3 4. lim x x-2 5. lim…

A: Please refer to the image below

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Q: Find the curvature K and the radius of curvature R at (1,2). (A K= √/2. R=₁ R = √2 (В) K= R= 2√2 2√2…

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