The total differential of g(x, y) = e*z²-y is at A(1,4) is %3D Select one: a. dg(A)=(8-1)e^(0) O b. dg(A)=(8xdx-dy)e^(0) c. dg(A)=(8dx-dy)e^(0) O d. dg(A)=(8dx-dy)

Q: 14 نقطة Q) Find dy/dx of the following * :equation (x² +x)(x' - x +1) y: dy/dx = -3/x^4 O %3D dy/dx…

A: Given y = x2+xx2-x+1x3y = x4-x3+x2+x3-x2+xx3y = x4+xx3y= x+1x2

Q: Find the first derivative: y = In V2x3-5 Oý = 203-5 O y = 4x2 203-5 3x2 O Ý = 23-5 O Ý = 6 52 y =…

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Q: (D^2+2D+2)y=e^-x(cscx)

A: To find any general solution of a differential equation we have to find complementary function and…

Q: Determine y' of y = V4x+3

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Q: If y = Vcot3tan³seccscx² find y' %3D

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Q: The integrating factor of xdy + ((3x + 1)y – xe-2*)dx = 0 is %3D O a. xe* O b. 3xe* O c.x'e* O d.…

A: given :

Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: x dy (1 + 5x²y*) = 29 dx

A: P

Q: d^4y/dx^4=dx/dy+y^4   Is it linear or non linear

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Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

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Q: 4x – 9y = 1 find the first derivative

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Q: Find y' if y = In(7x² + 3y²). y' =

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Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution…

Q: 2y´´-5y´+3y=0   y1=e^x

A:

Q: 2- Solution of the following function {(dy/dx)-(cotx) y=(csc x)y³ }

A: The differential equation is given as dydx-(cot x)y = (csc x)y31y3dydx-1y2cot x = csc x…

Q: x(^2)+2xy+y(^3)=4 Find dy/dx

A: The given equation is

Q: 8. (x² + 2xy − 4y²) dx — (x² − 8xy — 4y²) dy = 0. - -

A: #8

Q: dM/dt=4M, M=25000 when t=2   dT/dx=-3.2T-1328, T=-212 when x=2

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Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: What is the approximate value of the first derivative of S(x)=-0.1x*-0. 15x-0.5x-0.25x-1. 2 at…

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Q: x+ dy If y = then will be %3D 2x-3' dx (2x – 3) (1 –) - (2x +) A. (2х - 3)2 (2x – 3) (1 +) – 2 (x+±)…

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Q: Find dx/dt, dy/dt, dy/dx for  x=9t-9ln(t), y=6t^2-6t^-2

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Q: 3X ジ+ 5y+4 -2X -3e+キe मै -29 +8 ジ x ーズ %3D 12)

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Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

Q: y"=? (d2y/dx2) y=2x2+1/x3+2x

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Q: y=1/4x+17/4 ;    (1,4), (5,3) How do I find the net change?

A: The given linear equation is y=-14x+174. The given points are (1,4) and (5,3).  We have to find the…