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.)
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 #7(a): Select A B C D E F G H I | |
(A) positive, positive (B) positive, negative (C) negative, positive (D) negative, zero (E) positive, zero (F) zero, zero (G) zero, negative (H) negative, negative (I) zero, positive Problem #7(b): Select A B C D E F G H I | |
(A) negative, zero (B) positive, positive (C) positive, negative (D) zero, zero (E) zero, positive (F) negative, negative (G) zero, negative (H) negative, positive (I) positive, zero Problem #7(c): Select A B C D E F G H I | |
(A) zero, zero (B) negative, negative (C) negative, positive (D) zero, negative (E) zero, positive (F) positive, negative (G) positive, positive (H) positive, zero (I) negative, zero Problem #7(d): Select A B C D E F G H I | |
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Problem #7Attempt #1Attempt #2Attempt #3Your Answer:7(a)7(b)7(c)7(d)7(a)7(b)7(c)7(d)7(a)7(b)7(c)7(d)Your Mark:7(a)7(b)7(c)7(d)7(a)7(b)7(c)7(d)7(a)7(b)7(c)7(d) | |
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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.)
Problem #7: The graph of z = f (x, y) is shown below. In each part,...
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(0, −2) and
fxx(0, −2)
(d)
fy(0, −2) and
fyy(0, −2)
(A) negative, positive (B) negative, zero (C)
positive, negative (D) positive, zero (E) zero, ...
Problem #7: The graph of z =f(x,y) is shown below. In each part, determine whether the given part...
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...
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.
Find all the first and second order. partial derivatives of f(x, y) = 8 sin(2x +...
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=
pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3...
pls
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...
Problem #8: Let f(x, y, z) = xzly. Find the value of the following partial derivatives....
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)
4. Suppose X and Y have the joint pdf f(x,y) = 6x, 0 < x <...
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.
0 Both first partial derivatives of the function f(x,y) are zero at the given points. Use...
0 Both first partial derivatives of the function f(x,y) are zero at the given points. Use the second-derivative test to determine the nature of foxy) at each of these points. If the second-derivative test is inconclusive, so state f(x,y) - 12x² +24xy – 2y + 72y: (-2. - 2) (6.6) What is the nature of the function at (-2. - 2)? A. fxy) has a relative maximum at (-2,-2) B. fxy) has a relative minimum at(-2.-2) OC. XY) has neither...
Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of...
Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of f around P can be approximated by its second order terms according to Taylor series, that is, f(x,y) = f(P) + F(x – xo)?H (x, y) , where H(x, y) = fyy(P)(=%)2 + 2 fxy(P) (?=%) + fxx(P). (a). If H(x, y) > 0 for all x,y, is P a local max, local min or saddle point? (b). Let s = (4=90). Then, H(x,...
Problem 3. Define the function: 2+_ 0 if (z,y)#10.0) if (a,y)-(0,0) f(x, v)= (a) Graph the...
Problem 3. Define the function: 2+_ 0 if (z,y)#10.0) if (a,y)-(0,0) f(x, v)= (a) Graph the top portion of the function using Geogebra. Does the function appear to be continuus at 0? (b) Find fz(z, y) and fy(z, y) when (z, y) #10.0) (c) Find f(0,0) and s,(0,0) using the limit definitions of partial derivatives and f,(0,0)-lim rah) - f(O,0) d) Use these limit definitions to show that fay(0,0)--1, while x(0,0)-1 (e) Can we conclude from Clairaut's theorem that()-yr(x,y) for...
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(0, −2) and
fxx(0, −2)
(d)
fy(0, −2) and
fyy(0, −2)
(A) negative, positive (B) negative, zero (C)
positive, negative (D) positive, zero (E) zero, ...
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.
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=
pls
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...
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)
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.
0 Both first partial derivatives of the function f(x,y) are zero at the given points. Use the second-derivative test to determine the nature of foxy) at each of these points. If the second-derivative test is inconclusive, so state f(x,y) - 12x² +24xy – 2y + 72y: (-2. - 2) (6.6) What is the nature of the function at (-2. - 2)? A. fxy) has a relative maximum at (-2,-2) B. fxy) has a relative minimum at(-2.-2) OC. XY) has neither...
Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of f around P can be approximated by its second order terms according to Taylor series, that is, f(x,y) = f(P) + F(x – xo)?H (x, y) , where H(x, y) = fyy(P)(=%)2 + 2 fxy(P) (?=%) + fxx(P). (a). If H(x, y) > 0 for all x,y, is P a local max, local min or saddle point? (b). Let s = (4=90). Then, H(x,...
Problem 3. Define the function: 2+_ 0 if (z,y)#10.0) if (a,y)-(0,0) f(x, v)= (a) Graph the top portion of the function using Geogebra. Does the function appear to be continuus at 0? (b) Find fz(z, y) and fy(z, y) when (z, y) #10.0) (c) Find f(0,0) and s,(0,0) using the limit definitions of partial derivatives and f,(0,0)-lim rah) - f(O,0) d) Use these limit definitions to show that fay(0,0)--1, while x(0,0)-1 (e) Can we conclude from Clairaut's theorem that()-yr(x,y) for...
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