Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) 3x2 – 2x + 7 f(x) = x > 0 x² F(x) =

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Q: Using Integration By Parts, x² Vx? +4 dx =uv- [v du Find Uv- du 3 3 2 -4)2 dx || 4 3 3 2 +4) 2 dx 3…

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A: Given function F(x,y)=( 2x-6y ) i+(-6x+14y-7) j

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A: The parametric curve x = f(t), y = g(t) has a vertical tangent line at a point where t = 2 if f'(2)…

Q: (2x + 4) + 1 dx- x² + 4x + 5 x² + 2x– 10 2 (2x + 4) + 1 2 Consider dx = x2 (x² + 4x + 5) dx.…

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Q: Find dy/dx by implicit differentiation. xe - 18x + 4y = 0 %3D dy %3D xp

A: Given:   To determine: dy/dx using implicit differentiation.

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Q: 3. da I² + 52 Integrate:

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Q: x² + x +2 dx - x2 – 1 Evaluate (х-1)2 + C x+1 x+ In- x+1 In- + C (x – 1)2 (x – 1)2 In- X+1 x+1 +C x+…

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Q: Consider the function on the interval (0, 27). f(x) = sin(x) cos(x) + 8 (a) Find the open…

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Q: Question 3 6x³e**3 dx. using integration by parts Svdu) and letting = UV u= f(x), dv= 3 g(x) dx,…

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Q: x(z+ 2y)100 = yz – x; Zy and xz.

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Q: az Find and for each of the following functions. ax ду a. z = x²y+ b. z = (x* + x²)y³ c. z = yzsin…

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Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: Evaluate the integral 8) da 21 3-8. by making the substitution u = NOTE: Your answer should be in…

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Q: Consider the following parametric equations. a = t + 5t y = -3t2 + 1 - 2 <t<2 a) Find four unique…

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Q: /9– x² using Trigonometric Substitution what is dx ? onsider x2 3 sec e de P 3 cos e de O 3 sec e…

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Q: y" + 4y' = cos(t – 3) + 4t, y(3) = 0, y'(3) = 7

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Q: 2x4 + 3x² – 1 (x² – 4x² +5x)? B(2x- 4) + C Rewrite dx as integral of sum of partial fraction D(2x-…

A: Here we have to apply partial fraction.

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Q: company's revenue from selling xx units of an item is given as R=1500x−x^2 If sales are increasing…

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Q: У(2 — 2х)100 — у — хz; ху and yz.

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Q: Compute the following values for the given function. f(x, y) = 4x2 + 2xy – 7x + 4 f(1, 2) %3D f(2,…

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Q: Evaluate the integral [cot5 x csc x dx O 1 1 늑csc? x-cscs x + 하sc3x + C 2 X + x + C 2 esc x + 1 csc?…

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Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: 9. Evaluate limf(x) = {"_ (x – 2; x 3 %3D x-3 а. 1 b. -4 с. 3 d. Does not exist 10. Evaluate limf…

A: Our Aim is to evaluate the limit of the expression given below:-limx→3 f(x)=x-2 ; x≤3-4;…

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A: Given integral : I=∫0π2  sin2x2  cos2x2   dx

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Q: Find the first partial derivatives of 2х — 4у - f(x, y) = at the point (x, y) = (2,2). 2х + 4y af…

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Q: 6 (a) At point Q, fx is ? fy is ? and (b) At point R, fx is ? • and fy is ? (c) At point S, fx is ?…

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Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: Consider a function y= f(x)  then the derivative f '( x) is the  rate of change of y with respect to…