Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = x2 + y2; 0 ? x ? 1, 0 ? y ? 1
A. 
B. 
C. 
D. 
Answer: C
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Provide an appropriate response.Show that A = au + bv is orthogonal to B = bu - av, where u and v are orthogonal unit vectors.
What will be an ideal response?
If f(x,y) = x² + 6y², use the gradient vector ?f(10, 2) to find the tangent line to the level curve f(x,y) = 124 at the point (10, 2).
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Find the remaining zeros of f(x) given that c is a zero. Then rewrite f(x) in completely factored form.f(x) = x4 + 12x2 - 64; c = 2 is a zero
A. -4; f(x) = (x - 4)(x + 4)(x2 + 4) B. -2, -4, 4; f(x) = (x - 2)(x + 2)(x - 4)(x + 4) C. -2; f(x) = (x - 2)(x + 2)(x2 + 16) D. 2; f(x) = (x - 2)2(x2 + 16)
Answer the question.A rectangular piece of cardboard measuring 17 inches by 26 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. What are the restrictions on x?
A. 0 < x < 26 B. 0 < x < 17 C. 0 < x < 8.5 D. 0 < x < 13