Calculus homework
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calquiz.docxQuestion 1
Find fx, fy, and fz. f(x,y,z) = xe(x2 + y2 + z2)
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fx = (1 + 2x2) e(x2 + y2 + z2); fy = xy2e(x2 + y2 + z2); fz = xz2e(x2 + y2 + z2) |
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fx = (1 + 2x2) e(x2 + y2 + z2); fy = 2xye(x2 + y2 + z2); fz = 2xze(x2 + y2 + z2) |
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fx = 2x2e(x2 + y2 + z2); fy = xye(x2 + y2 + z2); fz = 2xze(x2 + y2 + z2) |
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fx = (1 + 2x2) e(x2 + y2 + z2); fy = xe(x2 + y2 + z2); fz = xe(x2 + y2 + z2) |
5 points
Question 2
Find fx, fy, and fz.
f(x, y, z) =
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fx = |
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fx = - |
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fx = - |
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fx = |
5 points
Question 3
Find and
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f(x, y) = ln yx
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5 points
Question 4
Find all the second order partial derivatives of the given function. f(x, y) = ex/y
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5 points
Question 5
Find and
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f(x, y) =
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5 points
Question 6
Find fx, fy, and fz.
f(x, y, z) =
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fx = |
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fx = - |
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fx = |
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fx = - |
5 points
Question 7
Find and
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f(x, y) = xye-y
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5 points
Question 8
Find the specific function value. Find f(3, 0, 9) when f(x, y, z) = 3x2 + 3y2 - z2.
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-48 |
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-72 |
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108 |
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-54 |
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Question 9
Find the specific function value. Find f(0, 1, -1) when f(x, y, z) = 3x - 4yz + 9x.
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-3 |
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5 |
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4 |
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-4 |
5 points
Question 10
Find and
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f(x, y) =
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5 points
Question 11
Find fx, fy, and fz. f(x, y, z) = e(yz + sin x)
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fx = (cos x)e(yz + sin x); fy = ze(yz + sin x); fz = ye(yz + sin x) |
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fx = (cos x)e(yz + sin x); fy = e(yz + sin x); fz = e(yz + sin x) |
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fx = e(yz + sin x); fy = ze(yz + sin x); fz = ye(yz + sin x) |
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fx = (cos x + yz)e(yz + sin x); fy = ze(yz + sin x); fz = ye(yz + sin x) |
5 points
Question 12
Find all the second order partial derivatives of the given function. f(x, y) = ln (x2y - x)
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5 points
Question 13
Find the specific function value.
Find f(3, 4) when f(x, y) = .
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- |
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- |
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- |
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- |
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Question 14
Find fx, fy, and fz. f(x, y, z) = cos x sin2 (yz)
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fx = sin x sin2 (yz); fy = -2z cos x sin (yz) cos (yz); fz = - 2y cos x sin (yz) cos (yz) |
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fx = sin x sin2 (yz); fy = - cos x sin (yz) cos (yz); fz = -cos x sin (yz) cos (yz) |
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fx = -sin x sin2 (yz); fy = z cos x sin (yz) cos (yz); fz = y cos x sin (yz) cos (yz) |
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fx = -sin x sin2 (yz); fy = 2z cos x sin (yz) cos (yz); fz = 2y cos x sin (yz) cos (yz) |
5 points
Question 15
Find all the second order partial derivatives of the given function.
f(x, y) =
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5 points
Question 16
Find and
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f(x, y) =
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5 points
Question 17
Find and
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f(x, y) =
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5 points
Question 18
Find all the second order partial derivatives of the given function. f(x, y) = xye-y2
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5 points
Question 19
Find the specific function value. Find f(2, 3) when f(x, y) = (x + y)3.
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25 |
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15 |
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125 |
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35 |
5 points
Find and
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f(x, y) = x3 + 9x2y + 2xy3
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