Find an expression for the function y = f(x) whose graph is the bottom half of the parabola x + (6 - y)² = 0. Select the correct answer.


Mathematics

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Find the first four terms of the binomial series for the given function.(1 + 5x2)3

A. 1 + 15x2 + 75x4 + 125x6 B. 1 + 15x2 + 45x4 + 135x6 C. 1 + 15x2 + 15x4 + x6 D. 1 + 15x2 + 125x4 + 875x6

Mathematics

Use the quotient rule and the product rule to simplify the radical.

A.
B.
C.
D.

Mathematics

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator.tan 

A. 1
B. -1
C.
D.

Mathematics

Divide.

A. 24 B. 5k C. 24k2 D. 5k2

Mathematics