2. Find the matrix of chain rule given u = xy + xz + yz; x = cos t, y = sin t, z = t.

Q: Use the chain rule and compute if z = x2 + xy³, x = uv? + w°y = u+ ve" O A. = (2x + y*)(2uv) +…

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Q: Solve the differential equation by variation of parameters. 1 2 + ex y" + 3y + 2y =

A: The given differential equation is y''+3y'+2y=12+ex. The objective is to solve the differential…

Q: Transform the equation: 2x2y'' + xy' + 3y = 0 to the form of: a(d2y/dz2) + b(dy/dz) + cy = 0 (a,…

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Q: Consider the simple lincar model Y, = Be + B,x, + C. where -N(0,0²); i= 1,2, --,n. 1. Show that a)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(a, b-i,…

Q: дz az Use the chain rule to find and Əs Ət əz Əs əz at = = ¹(=), z = tan u = 3s + 5t, v = 5s - 3t

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Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

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Q: Find the linearization of z = f(x,y) at P(-3, 2) when f(-3, 2) = 2 and f-(-3, 2) = 1, fy(-3, 2) =…

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Q: What does it mean for the differentiability of a function if only one of the Cauchy-Reimann…

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Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER 1. f(0) =…

A: The linear dependency of functions can be evaluated using the value of the Wronskian of those…

Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

Q: Show that t, e^t, and sin(t) are linearly independent.

A: In the given question we have to show that t, e^t, and sin(t) are linearly independent.

Q: a(x,y) d(u,v) Evaluate the Jacobian for the change of variables X =, =u²cos(v) and y =usin (v).

A: Topic : calculus

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)

Q: 5e- 2e- |-7e-/ X = Find dX/dt of Matrix:

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Q: 5. Given that G(x, y) = (x² + 1, y²) and F(u, v) = (u + v, v²), compute the Jacobian derivative…

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Q: Verify the chain rule for jacobian, if y2 u = x + , v = * y2 %3D

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