Find the sum of the infinite geometric series, if it exists.
- 1 + 3 - . . .
A. - 729
B.
C. 2187
D. does not exist
Answer: D
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Use a calculator to compute the first 10 iterations of Newton's method when applied to the function with the given initial approximation. Make a table for the values. Round to six decimal places.f(x) = ex + 2x + 4; x0 = 0
A.
B.
C.
D.
Solve the problem.The rate of growth of a population P is given by where N is a constant representing the net increase in population per unit time resulting from the difference between immigration and emigration. Solve to find P as a function of time if at time t = 0 the population is P0.
A. P = P0ekt -
B. P = ekt -
C. P = (P0 + N)ekt - N
D. P = ln kt -
Simplify. Express in terms of i.
A. -4i
B. 4i
C. -i
D. ±4
Graph the function. Let f(x) = represent the floor function and let g(x) =
represent the ceiling function.f(x) =
- 1
A.
B.
C.
D.