Rewrite the expression with a positive rational exponent. Simplify, if possible.
1/2
A. 2a2b4
B.
C.
D.
Answer: B
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Find the limit L for the given function f, the point x0, and the positive number ?. Then find a number ? > 0 such that, for all x, f(x) =
, x0 = 7, ? = 0.4
A. L = 4; ? = 1.56 B. L = 4; ? = 0.78 C. L = 4; ? = 7.78 D. L = 4; ? = 0.64
Use mathematical induction to prove that the statement is true for every positive integer n.4 ? 6 + 5 ? 7 + 6 ? 8 + . . . +(n + 3)(n + 5) =
What will be an ideal response?
Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have.f(x) = 4x3 - 5x2 + x + 9
A. 3; 2 or 0 positive zeros; 2 or 0 negative zeros B. 3; 2 or 0 positive zeros; 1 negative zero C. 3; 2 or 0 positive zeros; 1 or 0 negative zeros D. 3; 3 or 1 positive zeros; 3 or 1 negative zeros
Solve the problem.How close does the curve y = come to the point
? (Hint: If you minimize the square of the distance, you can avoid square roots.)
A. The distance is minimized when x = - ; the minimum distance is
units.
B. The distance is minimized when x = 7; the minimum distance is 4 units.
C. The distance is minimized when x = ; the minimum distance is
units.
D. The distance is minimized when x = 3; the minimum distance is 4 units.