Let f(z) = 5z2 + 3z. %3D

Q: d) f(x) = x* %3D

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Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: fd X = x, + N X = Ans

A: We have given that in an annual audit , a private accounting firm tabulates the time required to…

Q: Integrate the FF 2) dv Y Cy+z2)

A: We will integrate function of V=v w.r.t. v and function of y w.r.t. y and

Q: b) f(x) = e*;a = 2 %3D

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Q: f(z) %3D

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Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: ysina dady.d.z. 2.

A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

Q: [g(x )cx = 2 If then g(x )dx equals

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Q: f(x) = %3D 4 — т

A: We will approximate f(x) by the Taylor series. Taylor series of function fx at a is defined as:…

Q: 1. f (x, y) = x² + y?

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

Q: f(x) %3D e 3.

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Q: O g(x) = (3t+ 2) dl t %3D

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Q: y"'-3y"+2y'=t+et

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Q: B2. Evaluate (x? V1+x dx by using substitution method.

A: Integration

Q: f (x) dx 21 and g(x) dx 14, find 3f (x) + 5g(x)] dx.

A: ∫09f(x)dx = 21   ∫09g(x)dx = 14∫093f(x) + 5g(x)dx = ?

Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

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Q: Which of the following gives the domain of

A: We have  fx=x9-x2   Domain: Domain is the set of all inputs for which the function is defined.…

Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: 4. (d) f(x)dx 6.

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Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: In the function given. Evaluate the integrals.

A: Given:∫03 fx dx=2,∫36 fx dx=-5∫36 gx dx=1∫36 3 fx -gx dx=?

Q: f(x,y) = VE +

A: Given :     fx , y =t+1t

Q: (e) f(x)=(Vx 3

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

Q: j dx (2x-3) 15-12x+cx 2

A: As per the guidelines, we can be answered only for first question. Please repost the rest question…

Q: e-X f(x, у) %3D x2 + y2

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Q: Find dy. y=5ln(3x+x4) dy=

A: To determine the derivative of the function.

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: 2 da x² – 8x + 17 Integrate: + C

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Q: f (z) = VE g (z) = V5x - 4 %3D

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Q: 9. If f(x) dx = 35 and g(x) dx 14, find | [3f(x) + 4g(x)] dx. %3D

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Q: 8. If f(x) dx 31 and %3D g(x) dx = = 14, find [3f(x) + 4g(x)] dx.

A: use given integral for finding the  value .

Q: Evaluate (D2+3D+2)y=(1+e-x)-1

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Q: y10) f(x, у) %3D In x9

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Q: L²+R²x+²y=0 (Auxilary function)

A: Solution :

Q: +j =6- d 5x+(/x + %3D dx x² 2.

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Q: 4. y = vx + 2 x,for-

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Q: If Ff(x) dx = 7.2 and f(x) dx = 3.7, find %3D %3D f(x) dx. 3

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Q: f(X) = %3D Vx-2

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Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

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Q: (c) f(z) = -I Vr E |-1,.

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Q: Find the antiderivate of dx/(x2+4)3/2

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Q: Salve dy x(l+y) ニ。 XP

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Q: ationalize the d V49

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Q: S(3V+) dx (x + 3) + C %3D

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Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy