Describe the level surfaces for the given function.f(x, y, z) = (7x2 - 8y2 - 6z2)3/2
A. Hyperboloids of two sheets
B. Ellipsoids
C. Hyperboloids of one sheet
D. Paraboloids
Answer: A
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Give a geometric description of the set of points whose coordinates satisfy the given conditions.8 ? z ? 9
A. All points between z = 8 and z = 9 in the x-y plane B. The slab between the planes z = 8 and z = 9 (including planes) C. No set of points satisfies the given relation D. The line from z = 8 to z = 9
Use the quotient rule to simplify. Assume all variables represent positive real numbers.
A.
B. x
C. 16x
D.
Find the complex zeros of the quadratic function.F(x) = x2 - 4x + 29
A. x = -2 ± 5i B. x = 7, x = -3 C. x = 4 ± 10i D. x = 2 ± 5i
You are given the shape of the vertical ends of a trough that is completely filled with water. Find the force exerted by the water on one end of the trough. (The weight density of water is 62.4 lb/ft3.)