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Problem #7:The graph of z = f (x, y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.)(a) fx(2, 2) and fxx(2, 2)(b) fy(2, 2) and fyy(2, 2)(c) fx(−2, 0) and fxx(−2, 0)(d) fy(−2, 0) and fyy(−2, 0)(A) zero, positive (B) negative, negative (C) negative, zero (D) zero, negative (E) positive, negative (F) zero, zero (G) positive, positive (H) positive, zero (I) negative, positive Problem...
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Problem #7: The graph of z =f(x,y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.) 15 10 (a) f(-2,-2) and f.-2,-2) (b) f(-2,-2) and yy(-2,-2) (c) fr(2,0) and f(2,0) (d) f/2.0) and fy(2.0) (A) positive, positive (B) negative, negative (C) zero, positive (D) zero, zero (E) negative, positive (F) zero, negative (G) positive, zero (H) positive,...
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Problem 5. (1 point) Find all the first and second order partial derivatives of f(x,y) 7 sin(2x + y) + 9 cos(x - y). A. = fx(x,y) = B. = fy(x, y) = af C. ar2 = fcz(x, y) = af D. ay2 = fyy(x,y) = E. af деду fyz(x, y) = af F. მყმz = fxy(x, y) = Note: You can earn partial credit on this problem.
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solve like example
Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...
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Reserve Problems Chapter 5 Section 4 Problem 3 Suppose that X and Y are independent continuous random variables. Show that oxy o If X and Y are independant, then fxy (x, y) = – fx (x) - and the range of (X, Y) is rectangular. Therefore, fyy) / xyfx (x) dx E(X) fy(x) [fy(x) dx E(Y) Hence, Oxy = 0 Fan- | | C = 15 If X and Y are independant, then fxx (x, y) = fx (x) +fy...
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4. Suppose X and Y have the joint pdf f(x,y) = 6x, 0 < x < y < 1, and zero otherwise. (a) Find fx(x). (b) Find fy(y). (c) Find Corr(X,Y). (d) Find fy x(y|x). (e) Find E(Y|X). (f) Find Var(Y). (g) Find Var(E(Y|X)). (h) Find E (Var(Y|X)]. (i) Find the pdf of Y - X.
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Find all the first and second order. partial derivatives of f(x, y) = 8 sin(2x + y) - 2 cos(x - y). A. SI = fr = B. = fy = c. = f-z = D. = fyy = E. By = fyz = F. = Sxy=
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Suppose (1,1) is a critical point of a function f with
continuous second derivatives. In each case, what can you say about
f? (6 Pts) (a) fxx(1,1) = −3, fxy(1,1) = 1, fyy(1,1) = 2 (b)
fxx(1,1) = −4, fxy(1,1) = 2, fyy(1,1) = −1 (c) fxx(1,1) = −4,
fxy(1,1) = −2, fyy(1,1) = −2 (d) fxx(1,1) = 4, fxy(1,1) = 3,
fyy(1,1) = 3
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Problem #8: Let f(x, y, z) = xzly. Find the value of the following partial derivatives. (a) fx(4,3,2) (b) fy(4,4,4) (c) fz(3,4,3)
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5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c) Sketch Vf at P and Q on the level curve f(x, y) = 3.
5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c)...
Problem #7: The graph of z =f(x,y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.) 15 10 (a) f(-2,-2) and f.-2,-2) (b) f(-2,-2) and yy(-2,-2) (c) fr(2,0) and f(2,0) (d) f/2.0) and fy(2.0) (A) positive, positive (B) negative, negative (C) zero, positive (D) zero, zero (E) negative, positive (F) zero, negative (G) positive, zero (H) positive,...
Problem 5. (1 point) Find all the first and second order partial derivatives of f(x,y) 7 sin(2x + y) + 9 cos(x - y). A. = fx(x,y) = B. = fy(x, y) = af C. ar2 = fcz(x, y) = af D. ay2 = fyy(x,y) = E. af деду fyz(x, y) = af F. მყმz = fxy(x, y) = Note: You can earn partial credit on this problem.
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solve like example
Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...
Reserve Problems Chapter 5 Section 4 Problem 3 Suppose that X and Y are independent continuous random variables. Show that oxy o If X and Y are independant, then fxy (x, y) = – fx (x) - and the range of (X, Y) is rectangular. Therefore, fyy) / xyfx (x) dx E(X) fy(x) [fy(x) dx E(Y) Hence, Oxy = 0 Fan- | | C = 15 If X and Y are independant, then fxx (x, y) = fx (x) +fy...
4. Suppose X and Y have the joint pdf f(x,y) = 6x, 0 < x < y < 1, and zero otherwise. (a) Find fx(x). (b) Find fy(y). (c) Find Corr(X,Y). (d) Find fy x(y|x). (e) Find E(Y|X). (f) Find Var(Y). (g) Find Var(E(Y|X)). (h) Find E (Var(Y|X)]. (i) Find the pdf of Y - X.
Find all the first and second order. partial derivatives of f(x, y) = 8 sin(2x + y) - 2 cos(x - y). A. SI = fr = B. = fy = c. = f-z = D. = fyy = E. By = fyz = F. = Sxy=
Problem #8: Let f(x, y, z) = xzly. Find the value of the following partial derivatives. (a) fx(4,3,2) (b) fy(4,4,4) (c) fz(3,4,3)
5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c) Sketch Vf at P and Q on the level curve f(x, y) = 3.
5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c)...