Find the limit as x approaches infinity of (2x-1)(3-x)/(x-1)(x+3)

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A: We are required to evaluate the indefinite integral∫et6+etdt

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Q: Use the FTC to evaluate the following definite integrals. f (6x - 2)dx ³₁ t³ dt

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Q: 3nJñ √(C+x/ (ul) Ma

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A: Given: R'(x)= (x+7)ln(x+7)

Q: 12. Let f(a) be a function with f(1) = 2, f'(1) = 6, f"(1) = -12. Which of the following is the…

A: according to bartleby guide line we do only first part of multiple 12)  given  f(1)=2  , f'(1)=6,…

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. Rn 1 x+2…

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Q: If what does the following integral equal? 18 |_ | [6f(x) + 4g(x) — h(x)]dx = 63 - 18 [ f(x)dx = 12…

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Q: sin (z) h(z) - [N² h'(x) = (cos(t5) + t)dt culus rival

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Q: -) Show steps and find [(2x+1)' In(2x+1) dx.

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A: Please see the below answer.

Q: Find ¹ (3x + 5y)dA where D = {(x, y) | x² + y² ≤ 16, x ≥ 0}

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Q: Using Delta Epsilon Proof Prove that (2.) lim sinx/×=1 as x --> 0

A: Using Delta Epsilon Proof Prove that (2.) lim sinx/×=1 as x --> 0

Q: 17. Which of the following substitutions is best for the integral [ best for the integral + 25 dz dx…

A: Solve the following

Q: The number of virus cells increases by 37% each day. What is the common​ ratio?

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Q: 4. Evaluate the line integral (2² - y²) da + a dy if C is given by the parametric t2/3, y=t(-1 ≤ t ≤…

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Q: Use integration by parts to evaluate the definite integral. ('in In(1 + 8x) dx Need Help? Read It…

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Q: 7. (D²+2D+1)y=(e-1)-². 9 (D² 2x)-1/2

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Q: If ["* f(x)dx = [ª* f(x)dx + [ª f(x)dx - [** f(x)dx, 6 what are the bounds of integration for the…

A: Given∫abf(x)dx=∫-62f(x)dx+∫25f(x)dx-∫-6-2f(x)dx We are required to find the value of a and b

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Q: ·[.F. F. dr where F = (-4z, - 3y, 2x), and C' is given by Evaluate r(t) = (t, sin(t), cos(t)), 0≤ t…

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Q: 4. *. Evaluate lim x-0 ek sin(x²)(1+2x²) x4 I where k is a constant.

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Q: 3. In an experiment, the time (in seconds) needed to empty a column of water is, where h (in cm) is…

A: Here we have  t = (c√h)/d2 Let m = c√h Then t = m/d2 And if x = 1/d2  Then t= mx

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Q: The function f(x) = 0.02x + 100 represents the rate of flow of money in dollars per year. Assume a…

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Q: Find the general solution of the linear nonhomogeneous recurrence relation an = 3an-1 + 10an-2 +…

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A: NOTE: Refresh your page if you can't see any equations. . and the given eigenvalue is

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ts 1. ((x + 3y²) dy

A: Since you have asked more than one question. so i have done first for you. If you want more question…

Q: Q6: Please answer all the parts to this question, and show all work clearly with legible hand…

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Q: 14. What is the average value of the function f(x) = cos²(x) on the interval [0, π] 1

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Q: the open intervals on which the graph of the function is concave upward or concave downward. Assume…

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Q: 2. If the series an is convergent and an > 0 for all n, then we also know that n=1 (a) Must be…

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Q: Find the radius of convergence of the power series. (If you need to use oo or -co, enter INFINITY or…

A: Given: ∑n=0∞-1nxnn+8 So, an=-1nxnn+8

Q: Complete the following table. Population Growth Rate, k Doubling Time, T 2.5% per year Country A…

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Q: Express the limit lim (3(x; )² – 5(x; )¹) Ax; over [3, 6] as an integral. n→ ∞0 n a = Provide a, b…

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Q: The speed of a particle in a test laboratory was noted every second for 3 seconds. The results are…

A: t0123v96.565.5a) as we know that distance using left end points = v(0) + v( 1 ) + v( 2 )3 - 0…

Q: Evaluate the definite integral [*2 sin(x)dx

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Q: Find the Taylor polynomial P₂(x) for the function f(x) = 5 centred at the point c = 6 5+2 P2₂(x)

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Q: ] = ²P (£ + 29 + +) 7 Find(+6e+3) dz

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