x2 - 2x - 35 Let f(x) = Find a) lim f(x), b) lim f(x), and c) lim f(x). x-7 x-7 x-0 x--5

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: The given series is: ∑k=1∞164k2+48k-7=18∑k=1∞8(8k-1)(8k+7)=18∑k=1∞(8k+7)-(8k-1)(8k-1)(8k+7)=18∑k=1∞1...

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A: Please refer to the image below

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Q: Solve

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Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into a(...

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Q: If A= then A1=0 true fals O

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A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

Q: I. Use any appropriate method in finding the indicated solution of the following differential equati...

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Q: For each of the following vector fields, find its curl and determine if it is a gradient field. (a) ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

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Q: du FORMULA Answer 10. | Vĩ csc(xVx) cot(xVx )dx cối ud

A: Given: I=∫xcscxxcotxxdx  ...1   We know that; ∫c·fxdx=c·∫fxdx, where c is constant. And ∫cotxcscxdx=...

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A: We use ratio test for absolute convergence. Follow 2nd step.

Q: If two functions Fand G are both antiderivative of the function h then they differ by a constant. Tr...

A: Integration of h is F and also integration of h is G. So, F' = h  And, G' = h

Q: du Formula Answer u dx 6. x In x+x Jx(mx+1) in Inx+i| +0 In x +1 dx Inx + +C

A: We can provide complete solution as below.