Find the values of x for which the geometric series converges.

A. -8 < x < 8
B. -1 < x < 11
C. 1 < x < 11
D. 2 < x < 8


Answer: D

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5

A.  = 2yex2(1 + 2x2);  = 2x;   =  = 2y + 2xex2
B.  = 2yex2 = 2x;   =  = 2y + 2xex2
C.  = yex2(1 + 2x2);  = x;   =  = y + xex2
D.  = 2yex2 = 2x;   =  = 2xex2

Mathematics

Perform the indicated operation. Write the answer in simplest form. ÷ 

A. 39
B.
C. 37
D. 38

Mathematics

Solve the problem.Find out how long it takes a $2700 investment to double if it is invested at  compounded quarterly. Round to the nearest tenth of a year. Use the formula .

A. 9 years B. 8.8 years C. 8.6 years D. 9.2 years

Mathematics

Given that x = 5 - 3i is a zero of f(x) = x3 - 4x2 - 26x + 204, find all the zeros of f.

A. x = 5 - 3i?, -5  + 3i?, -6 B. x = 5 - 3i?, 5  + 3i?, -3 C. x= 5 - 3i?, 5  + 3i?, -6 D. x = 5 - 3i?, -5  - 3i?, -3 E. x = 5 - 3i?, -5  + 3i?, -3

Mathematics