Use mathematical induction to prove that for all integers n ? 5, 1 + 4n < 2^n.

What will be an ideal response?




Mathematics

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Find the phase shift of the function.y = 4 sin 

A. ? units to the right
B. ? units to the left
C.  units to the left
D.  units to the right

Mathematics

Add or subtract, if possible. Assume that all variables represent non-negative values. Simplify your answer.  + 

A. 8
B. 56
C. 8
D. -4

Mathematics

Solve the problem.Suppose you borrow $7500 for a term of five years at simple interest and % APR. How much is the total (principal plus interest) you must pay back on the loan?

A. $7809.38 B. $8118.75 C. $309.38 D. $10,593.75 E. $3093.75

Mathematics

Solve.A complex number z does not belong to the Mandelbrot set if any of the complex numbers in the sequence z,  (z2 + z)2 + z, [(z2 + z)2 + z]2 + z, ... has modulus exceeding 2. Does  belong to the Mandelbrot set?

A. Yes B. No

Mathematics