(b) Use a convergence test of your choice to determine whether the following series converge or diverge. √1+n 2+n 8W n=1

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A: The given integral is x2 sqrt(3x+2).

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Q: Perform the indicated operation if possible. -2 -4 5-6 + -6 1 -9 3 *** Select the correct choice…

A: Perform the given operation -2-45-6+-61-93

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Q: Let f(x)=2x+6/x Find the open intervals on which ff is increasing (decreasing). Then determine the…

A: solution:-f(x)=2x+6/xf'(x)=2-6x2criticl pointsf'(x)=02-6x2=0x2=26=13x=±13critical points are : -13…

Q: 6. If f f(x) dx = 10 and ₁ g(x) dx = 6, then [2f(x) - 3g(x)]dx is

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Q: Determine if the following series is convergent or divergent. Show all work, give thorough…

A: Use the ratio test to check whether a series is converge or diverges.

Q: Let f(x) = √2x³ +9 (3x+4)6/5. Find f'(x). Solution "We have f'(x) 0·0+ 0 & C da (apply the product…

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A: A detailed solution is given below.

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Q: 8 1 1 15x× + 4 3 5x² + 4x -dx

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Q: Determine if the following series is convergent or divergent. Show all work, give thorough…

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Q: 2 b) -1 -3 e) 5 D Evaluate the integrals below using the graph of f(x) shown above: 3 a) [* 1(a) dx…

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Q: 4. f sin² cosdx 2 2

A: ∫sin2(x2)cos(x2)dxd dx(sinx)=cosx∫xndx=xn+1n+1+c