Consider the function f(æ) = 4x° + 4x7 – 6x? – 6. Enter the antiderivative of f(x) Preview

Q: f"Ve-1) de (e* a) (e ) da Ante 1) de Bos birak

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

Q: Given f(x, y) (8a®y + 3xyf). Compute: dx?

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Q: A) Use the chain rule to find where w'sy',x= sint + cost y = cost - sint. B) If f(x. y) - xy?+ x'y ,…

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Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = 4e* + 4x²; F(0) = -5

A: Given query is to solve the differential equation.

Q: the most general antiderivative function Find f(e) Sx-4+3x %3D t has

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 10 In(x) dx,n = 6

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Q: Q/ find the dy when y = (x+z)= リ=(メ+2)mx, %3D 2x Qul Fird dy すく e y= ノ

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Q: Express in form y=f(x) by eleminating the parameter x = t + 3, y = 4t

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Q: dy If x = t - t3 and y = t2 - t, the value of at t = 2 is %3D %3D dx

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Q: f (x, y, 2) = In (x² + y? + ²) ve df x = cost, y = sint, z = tise dt It%=D1

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Q: IND THE ORTHOGONAL TRAJECTORIES OF THECURVES Y =Cx²,WHERE CIS AN ARBITRARY CONSTANT.

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Q: On the coordinate plane below, sketch a graph of the antiderivative of f(x) that goes through the…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 4 10 In(x) dx, n = 6

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Q: Find the particular antiderivative that satisfies the following conditions: dx/dt=8e^t−7;…

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Q: Determine the general antiderivative of the function. 1 8 (x) = %3D 1+4x² True or false? S (x) = ; ·…

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Q: zl*dz, where C is x(t) t2, y(t) , t:2 1 Evaluate /=

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2. Show that the function u p(ry) + Vry v(y/x) provides the equation Pu = 0. ду? dx²

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Q: If f(x, y) = xy + 3xy2 then df find at (1,2). dy

A: The function fx,y=xy+3xy2 then we have to find ∂f∂y at 1,2.

Q: W3:- Estimate y(0.2),using Euler methe ere y': = -y?cosx „y(0)=1

A: Here we have to estimate y(0.2), using the Euler method with step size h=0.1 where,

Q: h(x) = S*(8t³ + 2t)dt, use the FTC Part I to find h'(x). %3D

A: Given :  hx = ∫1x8t3 + 2tdt

Q: (d) y = V1+r² + sinhr (e) f(r) = sinh Vr +1 (f) y = In coth 3.r

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Q: In each exercise, obtain the particular of solution. a. xy dx + 2(r? + 2y?) dy = 0; when x 0, y = 1

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Q: Integrate f(x, y) = y(x² + y°)° over the domain æ? + y? 0.

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Q: B. Find y). 1. y = cosh?x 2. y = x tan-1 x - In vx2 + 1

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Q: Find an antiderivative of v(x) sec?(8x) + 3x³, Assume that the value of the arbitrary constant is 0.…

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Q: |dx + N(x,y)dy = 0 x² + y,

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Q: dy where C is defined by dx + x2 + y? Evaluate x2 + y? C T(t) =,0 <t< 2n

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Q: dy olve the O.D.E’S y + 4 = 2x using separable of variables. dx

A: Here is the solution:

Q: If y= Vx (x-1), find dy (Use rules, not a XP de finition

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Q: Find for the following by using appropriate rules: dx i. y = Vt , x: X = t+1

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find f. (Use C for the constant of the first antiderivative, D for the consta f"'(t) = Vt - 3 cos(t)…

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Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx+ x?dy by the curve y = x and y = x2.

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Q: Q3) For f(x,y) = Sin(x,y) find fryxy at (1,–). %3D

A: Given query is to perform indicated derivative operation.

Q: y = secx prove that d² y dx +y 2y

A: For y=sec x, we need to prove that d2ydx2+y=2y3. Here,            y''=secx''      =secxtanx'…

Q: Find f. (Use C for the constant of the first antiderivative, D for the con f'(t) = Vt - 6 cos(t)

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Q: V Sove using variaton of parameters recuction of order or (D² - 2D+1) y = e*(e*+)*

A: Please find attachment for the details solution

Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

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Q: f(x, y) = 2x- xy + y, find (a.)and (b.) at (Xo, yo) didirectly from the definition. dx dy

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Q: B) Find Sx e2x dx, at h = 0.2, use Simpson's 1/3 rule. J0.4

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Q: what is the Folution when i =0 and t= o ? di + Ri = Esin 2t %3D dt

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Q: Using the substitution x = sec 0, dx S: J x2Vx2 _ 1 where x > 1, is equal to

A: We can find the answer as below.

Q: f(x) = 3x²+x+7. Approximate fo trapezoids. O a. 60 Ob. 44 Oc. 30 Od. 22 f(x)dx using the trapezoidal…

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Q: Find the general solution of this DE using INSPECTION. dnda + +(x? t y?)dx = 0 2 aycdly

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Q: f 5 J of work are needed to stretch a spring 10 cm beyond equilibrium, how much work is required to…

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Q: Find the most general antiderivative of f(x)=6e^x+5 sec^2(x), where -pi/2

A: Please see the answer below

Q: Integrate dy (a) y'Jy? +16 6. (b) V6x Vox-x* dx –

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Q2) Evaluate , S2 xsiny? dy dx 0 Jx2

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Q: Find the particular antiderivative that satisfies the following conditions: dx = 5e' – 8; x(0) = 2.…

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Q: Express in form y=f(x) by eleminating the parameter x = e−2t , y = 6e4t

A: Here, x=e-2t and y=6e4t