2x lerivatives from first principle, find the derivatives of y = 5 V3x-e2x-(xln x)(In(In x)) -2e2x) In(In x) y = V3x-e2x dy Show that dx (x In x)(v3x-e2x)² (4ma 5.

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: Live equation ar differential with constat coefficients dx -3x 3x = -9ゼー1 5. | dt? dt

A: We have to find the general solution of differential equation

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)² 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = /1+ Vī – x…

A: As per our guidelines, we can help you in solving only first three subparts, Rest of the problems…

Q: -4 Chapter 13 / Partial Derivatives f(x, y) = x2 + 2ry- 4x; P(1, 2), Q(1.01, 2.04)

A: Explained below

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A: Using implicite differenciation89

Q: Partial derivatives with more than two variables Find ƒx, ƒy, and ƒz when ƒ(x, y, z) = e-xy cos z.

A: Given, the function f(x, y, z)  = e-xy cosz, and we have to calculate the partial derivative fx, fy,…

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A: Given,y= f(x1,x2)=2x1x2x1+x2 (i) using partial derivatives…

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Q: Differential equation dy - 3x Initial conditions y=4 when x=9 1. dx %3D

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

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A: Topic:- partial derivatives

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A: Given- A curve for which  y"=x passes through the point 1,-1 with a slope of 32. To find- The value…

Q: A. any equation involving a derivative where the antiderivative is known. B. any equation involving…

A: 'A'  will be the right answer.

Q: y" + y= tanx

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Q: Differential equation  (hx+by+f)dy (ax+hy+g)dx=0

A: Comparing the given differential equation with Mdx+Ndy = 0, we get M=ax+hy+g, N=hx+by+f,  ∂M/∂y=h ,…

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A: Here,               f(x, y)=xy          =4rtr12t          =4rr12          =4r11 Thus, f(r, t)=4r11.…

Q: terentiation 2 2 Find dy if y=x'+ sinxy 1.

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

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A: Given function z=fxgy. When we find Partial derivative with respect to x then y will be termed as…

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A: Homogeneous Differential equation

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A: We have given a differential equation ,  y'' - y' - y = cos5t First we will find complementary…

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A: To find the partial derivatives of f(x,y)

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A: Formation of differential equation

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A: Partial derivative of function

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A: Consider the given slope. The value of the slope at the given point ( x , y ) is the value of the…

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A: As per guidelines we can solve three subparts at a time, so the first three subparts can be solved…

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Q: se a linear approximation (or differentials) to estimate arctan(1.001) – arctan(1).

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A: Question is based on Application of partial derivative.

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Q: 6. PARTIAL DERIVATIVE OF MULTIVARIATE FUNCTIONS Find and for the following function. z* sin (y") +…

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Q: dx (5-4x-x²) 18. 8. f

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Q: 8. exy = e4x – e5y %3D

A: we have to derivative

Q: Higher Partial Derivative z=2x²-3xy +4y²; d²z 1. oxoy² 3. z+x³ − ln(y³ +x³)= 0; - a²z axoy 0³ z…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: FINO THE PARTICUCAR SOUTUON OF THE DIFFERE NTIAL EQUATION -スx =e + hx t子x-9 dx² -2x dy e AT X=0,9=0…

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Q: Q#2 Find the relative extrema using both First and Second Partial Derivative test i) ii) iii) f(x) =…

A: (i)  f(x) = 1+8x-3x2     f1(x)=8-6xfor critical point f(x)=08-6x=0   =6x=8x=86so x=8/6 either local…

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A: To find ∂z∂x(1,1,1)