The integral dx Vx² – 4 3 -2

Q: 7) For each set of parametric equations, eliminate the parameter and find a corresponding…

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

A: Given : f(x,y,z)=9x2y+5z2   To Find : Conservative Vector field by finding it's gradient

Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: We have to find particular solution .

Q: fintthe XP COS ५: टे. 8 e

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Q: 1) (-1)*- n² 2" n=1 a) Show that the series is convergent. Show All Your Work!

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Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: What type of DE is the following? xydx + (x2 – 3y)dy=0 O Bernoulli in x Bernoulli in y O Linear in x…

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Q: Asec24xdx

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Q: Given: a= 22, c=24.1, zB = 67 C A Solve the triangle. (Do not round until the final answer. Round…

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Q: P1: 2 cos-1 x dx 1xo

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Q: Express the limit as a definite integral on the given interval. lim n- 00 [4(x;)³ – 4x;"]ax, [(2, 7]…

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Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: Graph the function. Use the graph to find the indicated limit, if it exists. x20 lim f(x), fx) = -…

A: solution:-f(x)=x3 ,         x≥0-6x  ,    x<0left hand limitlimx→0-f(x)=limx→0--6x=0right hand…

Q: Let F(x) = f(æ*) and G(x) = (f(x))*. You also know that a' = 3, f(a) = 2, f'(a) = 8, ƒ'(a*) Then…

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Q: /2x+1 dx i fx(x* +1)' dx

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Q: 8. (y- 2x)dx - x(1- xy)dy 0 Ans.

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Q: Find the Area bounded by the given curves. 1. у %3 х2, у32х+3 2. х2 - у -1, х3у -3 3. у 3 х2, у-2-х2

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Q: Determine s) for $) = 31 + 212 1 s'() = 41 + 3 Os') = 41 + O s'() = 41 - %3D s'(t) = t+4t %3D

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Q: y5 + 2y = x² a. b. 5x – 4y? = + 9x?

A: a. y5+2y=x2b. 5x-4y2=xy+9x2

Q: provide a step by step solution to the following bernoulli equation (y⁴ - 2xy)dx + 3x²dy = 0 ; when…

A: Let's find.

Q: } Consider the initial-value Question 2 ( problem y" + 4y = 5 sin 3t, y(0) = 0, y(0) = 3. (a) Use…

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Q: Ge + C2x e* + C3 x*e*

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Q: 4.) f(x) = etinlx)+cos (x)

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Q: 4. S 9-x- dx

A: Given problem:-

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

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Q: P7: x3 + x – 1 x(x – 1)(x + 5)²

A: The given problem is solved below in detail.

Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: Find the general solution of the given ODE * dy 3z+2y dr 3= -23x+2y +c 2=-23x+2y +C O Option 1…

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Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. find a potential function for…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: For the following function f(x), find f(0) and f(2). if xs0 x2 f(x) = if 0 <x<2 x+3 if 2sxs4 4-x…

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Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

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Q: Please

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Q: Without evaluating the constants, the partial fraction decomposition for 5x? – 3 - f(x) %3D (x3 –…

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Q: Find the x-intercepts(s). if any, of f. (Type integer values, separated by commas.) x=0 (6, 2) (-2,…

A: We need to determine x-intercepts.

Q: Using the Nth term test for divergence, 00 n 5n-2 n2 n=1 diverges since lim V5n-2 n² is equal to O 5…

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Q: cos(xy) + secy = 5

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Q: 元 店sit sin? 4x cos² 2x dx

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Q: how does csc x/ cos x is equal to sec^2 x/ tan x

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Q: sin x cos x -dx (2 sin x – 1)(sin x + 1)

A: To solve: ∫sin⁡xcos⁡x(2sin⁡x−1)(sin⁡x+1)dx Let I = ∫sin⁡xcos⁡x(2sin⁡x−1)(sin⁡x+1)dx Substitute sinx…

Q: P1:

A: Solving

Q: For items 5-10. Solve inequality for y. 5. 84x+7y2 70

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

Q: Select all that apply. Select the functions whose value is zero. sec 270° Csc 360° tan 90° cos 270°…

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Q: Find the limit. (ti – 6j + r² k) lim t→4 lim (ti – 6j + r² k) = i+ j+ i i i k

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Q: 1. (sin x(cot x) = cos x OSX L.S. R.S.

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

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Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

Q: 21. Write the definite integral that repre formed by y = x² + 2x + 1 and y=2x+5. Do:

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