Consider the function f(x)=4x+1. (a) Estimate the area between the graph of f and the x-axis between x=0 and x=3 using six rectangles and right endpoints. (b) Repeat part (a) using left endpoints.

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A: We have to solve the quadratic equation, it's roots will give value of the solution

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A: The integration of the integral is 1/[x2(9x2-4)3/2].

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

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Q: 1. Using properties of definite integrals, given f(x)dx = 10 and | g (x)dx = – 2, evaluate 2 6. a)…

A: (a)∫26-f(x)+g(x) dx  = -∫26f(x) dx+∫26g(x) dx = -10 + (-2) =-10-2=-12∫26[-f(x)+g(x)] dx =-12

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A: I am attaching image so that you understand each and every step.

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A: Follow the procedure given below.

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A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

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Q: 1. El radio de convergencia de la serie de potencias es (n+1)!

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A: Detailed explanation is attached.

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Q: ky and k is a nonzero constant, then y could be (A) 2e*y (B) 2e (B) (C) e+3 (D) kty+5 2. OD OB ョ0 O…

A: 1. dydt=ky and k is nonzero constant.2. dydx=cos(2x)