Find fx, fy, and fz. f(x, y, z) = In (xy) Z fx = z ln: fy=z In :f, = In (xy) fx :수:fz= In (xy) fx fy ;fz = In (xy) fy ; fz = z ln (xy)² - 1

Q: 1. Let T = [-2 1 0 5], 5 1 1 0 A = [¦ ¦] ·--[¦ ¦ ). -- [¦ ¦ ¦]. - -[] [16], B = = [1 2] C = D = 0 3…

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Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (2, 1, −2), u'(2) = (7, 1, 8), and v(t) = (t,…

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Q: Suppose z = x² sin y, x = s² + 3t², y = 6st. Əz Əz A. Use the chain rule to find oz and 0 as…

A: Suppose .(A) By using chain rule to find  as functions of .(B) To find the numerical values of  when…

Q: Let f(x, y)= x'y+2x² and find f.(1,2) and f,(1,2) %3D 3x- y 1.

A: The given function is: f(x,y)=x2y+2x23x-y

Q: Suppose z = x² sin y, x = -4s² + t², y = -2st. A. Use the chain rule to find and as functions of x,…

A: Given:The functions .To find:The values of:a) b) The numerical values of  at .Concept Used:Power…

Q: DETERMINE FOR WHICH BETA AND x VALUES THE FUNCTIONS f(x)=Bz, g(x) = sin(32), A(z) = cos(3x), are…

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Q: Find y as a function of t if 16y" + 16y + 4y = 0, and y(1) = 2, y'(1) = 3. y =

A: The given differential equation  and the initial conditions .The objective is to find the solution…

Q: 1a. Let f(x, y) = 3ln(xy²) - 4x. Find the value of f* (-2, 1) and (-2, 1). 1b. Find the value of f"…

A: As per the rules we can answer only the first question and rest others can be chain rule.

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and u are differentiable. If u(-6,0) = 6, u,(-6,0) = -2,…

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Q: Let h(æ, y) = f(x)g(y) + (9(y))² and suppose that f(1) = 5, f'(1) = 3, g(2) = 8, g'(2) = 10. Then…

A: Given function is - h(x,y) = f(x) g(y) + g(y)2             ............................(1)We have to…

Q: 4x = 0 %3D 4y + i = 0 x + y 8 = 0 (х, у, 1) %3

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: For the function f(x,y) = 5x - 6y - 6, find - of and

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Q: Find y as a function of a if y(1) = −2, y′(1) : = 4. y = x²y" + 9xy' + 16y = = x³,

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Q: lf f(z, y) = 5ery + 1 sín (inr + y) + 2r + 3y, find-a-,-,-and

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Q: 7 + Vx + x dx

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Q: Let f(x, y) = x° – 3xy. - fa(x, y) = %3| fy(x, y) = f-(1, 3) = fy(1, 3) %3D

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Q: Find all values of x and y such that fx(x, y) f(x, y) = x² + 5xy + y² - 15x - (x, y) = ([ = 0 and f…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let X ~ Exp(λ). Find F(X) and E(X).

A: Let X ~ Exp(λ)The probability density function of X is fx(x)=e-λx   ;x>0