b) Find a function f(x) such that both f′(x) = cos(x) + e^2x + 2x and the tangent line to f(x) at x = 0 is given by y = 2x + 4.

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Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

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Q: What is the graph of y = tan(4x)?

A: Given equation:- y=tan4x

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Q: You receive two job offers: Job A: $41,000 starting salary, with 6% annual raises Job B: $52,000…

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Q: F 0 f(x) 4. Let g(x) = f(t)dt, wher (a) Evaluate g(0) and g(e (b) Estimate g(x) for x = (c) On what…

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Q: 21. What's the standard form equation of a parabola with directrix x= -10 and focus (10, 0)?

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Q: Show the solution : S (sinx + cos x) dx sin²x answer: -In /cotx + cscxl-cs

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Q: Determine whether the series converges or diverges. 8 n=1 converges Odiverges 1 + sin(n) en

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Q: Use the ratio test to find the radius of convergence of the power series 4!x² (21) ² 1+ 2x + + 6!23…

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Q: 211. Revisit the 1-foot radius circular saw blade with the one red tooth. Look at the ratio m of the…

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Q: D Question 13 The sum of two numbers is b. If the product of one number and the other number raised…

A: We will find the required.

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Q: Question Using Desmos, plot the point -1, 5TT 3 in the polar plane.

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Q: 17. Determine k so that d(x) is continuous -x-k, ifx-1 [2x+ 2k, if x = -1 d(x) =

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: Determine the distance from the point (2, 10, -9) to the plane 8x - 3y +7z = -5

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Q: 8 n=0 1 (-3)" 4n+1 4 = What is "a?" Show your work. Box your answers. Given the following geometric…

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Q: Find the foci for (x-6)² 9 + (y-7)² 25 - (a) F₁ = (6, 11) and F₂ = (6,3) (c) F₁ = (-6, 11) and F₂ =…

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Q: Suppose a state lottery prize of $4 million is to be paid in 20 payments of $200,000 each at the end…

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Q: 3x √e³x dx = 0 (Type an integer or decimal rounded to the nearest thousandth as needed.)

A: ∫eaxdx=eaxa+c

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Q: 6.6 The rational number x=p/q, where p,q are integers, satisfies the following conditions        a)…

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Q: Determine a vector equation for a line that goes through the following points: (-8, 7, 8) and (-10,…

A: Determine a vector equation for a line that goes through the following points: (-8, 7, 8) and (-10,…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

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Q: If f(x) = csc(3x), then f'(x) = O-3csc(3x)cot (32)

A: Given query is to find the derivative.

Q: Find the equation of the line tangent to y = -3x² + 3x + 2 at x = -1. Oy=9x−1 y=-62-5 Oy=9z+5 y =…

A: given y=-3x2+3x+2 at x=-1standard form is  y=mx+cwhere m is slope of line m=dydxdxndx=nxn-1

Q: ). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak