Suppose: w = f (s,t) s = s (x, y) t = t (x, z) Ultimately, after substituting in the lower variables, w will be a function of x, y, and z. Suppose s (3, 2) = 6 and t (3, 1) = -9. Write down the Multivariable Chain Rule formula for: We (3, 2, 1) =??? [Use Lagrange notation (the subscripts!).] %3D Hint: Where do we evaluate each partial derivative?

Q: 3 For the function z = 2x³-8y² - 2xy, find 立|み 11 x²(-2,-2)= (Simplify your apcwor) əz əz dx' dy' a…

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Q: Find the values and expressions in parts a through h for the function f(x) = /x< +5x. (a) f(0) (b)…

A: Since you have asked multiple subpart,as per our guidelines we are supposed to answer only first 3…

Q: 2. Consider the functions g, h: R → R defined by g(x) = x² and h(x) = x³ + 1. A. Evaluate f(g(x) ·…

A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

Q: The functions u and w are defined as follows. u (x) = -2x-1 w (x) = 2x²-2 Find the value of u (w…

A: u(w(3))=-33

Q: 3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by…

A: This question is related to Functions,  we will solve it using given information.

Q: of For the function f(x.y) = In (x + 6y), find- of and dy

A: It is partial derivative so when we differentiate with respect to one variable consider other…

Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: ssuming that f(x) is of the form A - B², write an expression for f(x): x) =

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Q: (0, – 3) (1, – 4) (-1,0) (4,5)

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Q: Assuming that f(x) is of the form A · B², write an expression for f(x): f(x) = _]

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Q: 3. Suppose that z = f(x,y) is a function for which f(3,-1) = 16, А. 1,(3,-1) = 0, f ,(3,-1) = -7,…

A: Given that:                       z=f(x, y)f(3, -1)-16, fx(3, -1)=0, fy=(3, -1)=0, fxx(3,…

Q: 4. Sketch each function in (x,y)-space with y on the vertical axis; identify the slope of each line…

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