Describe the surface represented by the given equation.


(a) Plane parallel to the xy-plane

Mathematics

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Solve the application problem.The length of a room is 3 feet more than the width. The room has a floor area of 208 square feet. Find the dimensions of the room.

A. Length: 13 ft; Width: 10  ft B. Length: 19 ft; Width: 16  ft C. Length: 17 ft; Width: 14  ft D. Length: 16 ft; Width: 13 ft

Mathematics

Suppose a country's population at any time t grows in accordance with the rule ? ? where P denotes the population at any time t,k is a positive constant reflecting the natural growth rate of the population, andi is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t =0 is P?0, find an expression for the population at any time t.

What will be an ideal response?

Mathematics

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = x2 - 8x + 16

A. x-intercepts: 4; y-intercept: 16 B. x-intercepts: 4; y-intercept: 32 C. x-intercepts: -4; y-intercept: 16 D. No x-intercepts; y-intercept: 32

Mathematics

?Determine the convergence or divergence of the p-series  . ?

A. ?The series converges. B. The series diverges.

Mathematics