Solve the problem.Prove that for n a positive integer, we have 
+ 
+ ... + 
= 2n
What will be an ideal response?
Write down the binomial expansion for (1 + 1)n.
(1 + 1)n = 
1n + 
1n - 1 ? 1 + 
1n - 2 ? 12 + ... + 
1 ? 1n - 1 + 
1n
(1 + 1)n = 
1n + 
1n + 
1n + ... + 
1n + 
1n
(1 + 1)n = 
+ 
+ 
+ ... + 
+ 
2n = 
+ 
+ 
+ ... + 
+ 
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Perform the indicated operation. Write the answer in scientific notation.(8.81 × 10-3) ? (6.79 × 10-3) Give the answer to three significant digits.
A. 6.0 × 109 B. 5.98 × 109 C. 5.98 × 10-5 D. 6.0 × 10-5
Divide.(14x2 - 55x - 36) ÷ (7x + 4)
A. -9x + 1 B. x - 9 C. 14x - 9 D. 2x - 9
Provide an appropriate response.Solve the following linear programming problem using the simplex method:MaximizeP = 7x1 + 2x2 + x3subject to: x1 + 5x2 + 7x3 ? 8 x1 + 4x2 + 11x3 ? 9 x1 , x2 , x3 ? 0
A. Max P = 56 when x1 = 8, x2 = 0, x3 = 0 B. Max P = 9 when x1 = 1, x2 = 1, x3 = 0 C. Max P = 63 when x1 = 9, x2 = 0, x3 = 0 D. Max P = 0 when x1 = 0, x2 = 0, x3 = 8
Use synthetic division to decide whether the given number is a zero of the given polynomial.-0.5; P(x) = -2x4 + 15x3 - 2x + 1
A. No B. Yes