Let -2x² - xy +10y² − 15x + 12y — 22 = 0. dy dx Use partial derivatives to calculate at the point (2, -3)

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

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Q: The equation of then tangent line to y?e2* = 3y + x2 at (0,3) is y= – 6x + 3 A) True B) False

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

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Q: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

Q: B. Find the first and second derivatives of i- y =-10x+3cosx+(2x+3)(5x-4x) 5x+1 ii- y= 2x

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Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Find the differential of y = = sec 4x + csc24r %3D O dz (8sec 4xtan4x- 8csc 4xcot4r)dy %3D O dy =…

A: Explanation of the answer is as follows

Q: dy -x-ly=²sin2x dx || 2 . 2号=2でッる xp

A: First order differential equation of the type, dydx+Pxy=Qx can be solved as follow: 1. Find…

Q: Derivatives Show that d(y,v)/dv = (1 – v?/c²)-2 for y, = 1/V1- v² /c².

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Q: - (x*+ a²)dy = 2x[(x*+ a²)*+ 3y]dx ex[(x²+ a²)²+ 3y]dx

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Q: Q2n: Find the second order partial derivative of

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Q: dy_ sec²y 1- 1+x² 2 when x=0 O y=

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Q: 1 2x STAR -1

A: y(x)=1e2x−1dydx=ddx1e2x−1Using the Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: az x²+y² - z² = 2x( y + z) ; 江一下

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Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: Find the partial derivative of the following                     y = 3x2z + xz3 – 3z/x2

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