ii. z2 +2 = 2.

Q: oulsy od bnil )=8), calculate the xp 8 Given that %3D value of [2x-g(x)] dx. (*)8 = (

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Q: Find: that: fl4) = -8 f'(4)= -8 %3D glx)=r

A: Given: g(x)=x f(x)f(4)=-8f'(4)=-8

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Q: Find x and y. BE = 6y - AE= 3x - 2, and AC= 8x - 22, DE = 4y - 4, %3D %3D %3D 20. B C A

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Q: а%3D 0.5, b%3D3, с%3D-3 c = -3 2 ес y = l0.5

A: Excel uses various inbuilt functions to compute a mathematical expression. For example, the…

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Q: 3 5) Differentiate with respect to x: y = %3D 3x e

A: Solving the problem by finding the differentiation.

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A: Given function is f(z) = x3 + axy2 + i3x2y + iby3 by comparing f(z) = u +i v here u = x3 + axy2  and…

Q: the extremum of f(x,y) = 7x²y² +5y² 9x?. +

A: Given that: f(x, y)=7x2y2+5y2+9x2

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Q: V tano do %3D V2

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Q: Question d²y Find if -9x – 3y = 8. %3D dx2

A: Detail solution is given below

Q: Convert the equation f(t) = 182e-0.24t to the form f(t) = ab %3D Give answers accurate to three…

A: f(t)=182e-0.24tf(t)=182e-0.24tBy comparing with f(t)=abt

Q: *Pivd the general Seltion to the

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Q: fy your answers. f(z) = zRez; (b) f(z) = Z;

A: a) differentiable at origin only. b)  never differentiable at any point. I have used Cauchy Riemann…

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Q: C. Solve the following using Intearating Factor by Formulas. 2. у(2х — у + 1)ах + x(3х — 4у + 3)dy…

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Q: If / f(x) dx = 4 and g(x). dx = -4, what is the value of %3D where D is the rectangle: -1 < x < 1,…

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Q: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: ), the directic i – 3x j at the

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Q: j. f'(2) appears to have a value of

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Q: Integrate -dr 8 + 4 + C

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Q: Sketch the fol 2 -4y a-. b- y2 -4y 3(y - 5)2 C-

A: As per guidelines, we will solve first three subparts: a. Given equation is  y2-4y+8-4x2=0 Rewriting…

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A: Given:        -x2y2y'+xy3=1

Q: Using the substitution x = sec 0, 2dx Jx?Vx² – 1

A: We can find the solution to the integration as below.

Q: 1. (D 2 + 3D + 2)y = 4t 2 By: (a) reduction of order, and (b) variation of parameters.

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Q: ne complementoru y functon of مو"(3.D( (D+3)'y= Sin3X

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Q: Evaluate the derivat rour answers on a separate sheet of paper. 1. C. x+3y y2 + 4 D. - %3D B. 2-3y…

A: Dear student. You have posted many questions. In our policy, i have answering the first three…

Q: (а) у"— (а + В)y' + аBy %3D 0 (а + B)

A: Answer as follows

Q: 1- 3tE %3D V. 1 a 4-

A: We have to find a formula for Vf.

Q: dy dr² in terms of x and y given that 6- 7xy = 6x - 7y %3D 22. Find

A: Given that ,6-7xy=6x-7y differentiate this equation with respect to x ddx(6-7xy)=ddx(6x-7y)…

Q: If DaA-3A +4I わin d amatx0 %3D 3-1 where and Iisidentity w/

A: A detailed solution is given below

Q: Find a cubic equation f(x)=ax^3+bx^2+Cx +d when f(-1)=3 f(1)=1 f(2)=6 and f(3)=7.

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Q: 4. Evaluate Ja- (Iz + i[2022 + Im (z))dz. Iz+i|=2

A: The given integral is: ∫|z+i|=2z+i2022+Imz dz The equation of the circle centered at z=a with radius…

Q: Find the extremum of f(x,y) = 3x2y2 +2y2 + 2x2.

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Q: Find the extremum of f(x,y) = 4x²y2 +3y? + 5x?. %3D Answer:

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Q: a.y=(x6+1)2o %3D

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Q: Find the distance between 3x + y-5 = 0 and 9x+3y + 12 = 0 9/2 VIO 10 V2

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Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

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Q: esents the center. 105° (4y +14) (7y +1)° (7x +1)°

A: We can see that this is a quadrilateral which is inscribed in a circle. Such a quadrilateral is…

Q: Cx² tq]% /2 2

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Q: Evaluate f.(Iz + i[2021 + Im (z))dz. Iz+il=2

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & Z then simplify.

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

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. |

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Q: Show that Y, CX) = x is one of this functio %3D Solutions: x*y" + 2 xy' - 2 = 0

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Q: 9. (D+3D² + 3D+1)y = 0. 13. (4D* +4D³ – 3D² - 2D + 1)y = 0.

A: As per our company guidelines we are supposed to answer only 1 question. kindly repost other parts…