d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: 9. Calculate y' for y +2xy = 3x-2y %3D

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Q: 13 |xsin xdx ーT 15 (xsin xdx

A: I=∫ x sinx dxIntegration by parts;u=x, v=sinxI=x∫sinx dx-∫(1 ∫sinx dx) dxI=-x cosx +∫cosx dxI=-xcosx…

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A: This question is based on similar parallelogram properties and rationalisation.

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A: Since mutliple questions are asked, I am answering the first question.

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Q: [x² sin 3xdx

A: By Parts Method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx∫v(x)dx ∫sin3xdx=-cos3x3∫cos3xdx=sin3x3

Q: Find f. f"(8) = sin(e) + cos(e), f(0) = 5, f'(0) = 4 f(e) = 5t – sin (t) – cos(t) + 6

A: Here we have f''θ=sinθ+cosθ, f(0)=5, f'(0) = 4 fθ=?

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Q: Find f. f '(x) =     (6 + 5x),    f(1) = 11

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Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. c. Use the limit definition…

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Q: Integration by Parts (IBP) 1. Sx³e*/2dx 7/4 2. SR" x sin 2x dx

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Q: Derive the reductive formula for ∫ ln^n(x) dx

A: Solve using integration by parts.

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Q: Evaluate the integral using the following values. = 260, x dx = 10, d dx = 260, dx = 2

A: ∫46x3 dx=260 , ∫46x dx =10 , ∫46 dx= 2∫46 (29-5x-x3) dx = 29∫46dx - 5∫46x dx - ∫46 x3dx

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Q: ACTIVITY SHEET #3 A. Show your solution: 1. Find the discontinuity point/s of f(x) = 2. Determine if…

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Q: d. The curves y=x-4, y-8-2x.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x3 +5 dx Consider Approximate this by using four subintervals and: A left endpoints B right…

A: To integrate f(x)=x3+5x on the interval [1,5] .

Q: 1. Find an angle a in the fourth quadrant such that cos a = 0.4 A) 116.4° B) 66.42° C) 285.4° D)…

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Q: y = (x+ 2) 2 y = 4 X = -2 y= (x+2)? y= 4 Select the best option to describe the method to solve this…

A: Solution is given below:

Q: Evaluate the definite integral by the limit definition. + 2) dx

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Q: 10 -5 -10 %3D -2 -4

A: The answer is in below steps.

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A: Let the numbers are x and y  x=7y Sum of the numbers(S) = x + y S = x + y S = 7y+ y Differentiate…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

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Q: Find dy/dx: a. y = cos t dt 0,

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: 4. If cos(x) = -, and x lies in the 3rd quadrant, find tan(). -2 2.

A: Given query is to find the value of indicated function.

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Q: 19 – x² ; if x 3 continuous or not on the interval [0, 3].

A: Find your answer below

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A: Here, given that the point A is located on the graph y2=8x

Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

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A: The answer is in below steps.

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A: Given problem:- Find the second derivative for f(x) = (2x2  - 3)8

Q: Q/ Choose the right answer y" + 6y"+ 11y' + 6y = cos(x) +e^{-x}

A: To find the general solution of the following differential equation.y'''+6y''+11y'+6y=cos x+e-x

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A: In order to proceed to next two stages we need to get the logic behind the initiator and generator.

Q: classification of the isolated singular point 1. ((1-cosh(z)/(z^2)) 2. (z/2z+1)^3 3. (1/(z^2)(1+z))…

A: Solve

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Q: mine a region whose area is equal to the given limit. Do not in tan 6n, lim n- co 6n i=1 tan(x) on…

A: We have to choose the correct option from the given options according to the given information