Provide an appropriate response.Find any horizontal or vertical asymptotes for the spiral   (Suggestion: Express the curve in parametric form  and investigate what happens to x and y as ? varies.)

What will be an ideal response?


As ? ? ?, x ? 0 and y ? 0. As ? ? 0+, x ? +? and y ? 1 (by L'Hospital's Rule). Thus, the line  is a horizontal asymptote.

Mathematics

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Evaluate the integral.

A.  cos 81
B. (1 - cos 81)
C. (1 - cos 81)
D.  cos 81

Mathematics

Write out the first five terms of the sequence.{cn} = 

A. c1 = 0, c2 = 5, c3 = , c4 = , c5 = 
B. c1 = 1, c2 = 5, c3 = 25, c4 = 125, c5 = 625
C. c1 = 5, c2 = , c3 = , c4 = , c5 = 625
D. c1 = 5, c2 = 25, c3 = 125, c4 = 625, c5 = 3125

Mathematics

Solve the problem.Suppose that = -11. Find and .

A. 1; -11 B. -1; 11 C. 0; -11 D. 1; 11

Mathematics

Solve the equation. ? ?

A. ?x = 5 B. x = 3 C. ?x = 6 D. x = 8 E. x = 7

Mathematics