Determine whether the equation is an identity. If it is an identity, prove it.tan2x = sec2x - sin2x - cos2x
What will be an ideal response?
The statement is an identity. The student's answer should include a proof.
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Solve the problem.Sarah and Shakina are running in a 4-lap, 1 mile race. Shakina is exactly one lap behind at the moment when Sarah completes her second lap. If Sarah averages 0.17 miles per minute for her last two laps, what must Shakina's average speed be in order for her to just pull even with Sarah at the finish line?
A. 0.23 mi/min B. 0.11 mi/min C. 0.26 mi/min D. 0.34 mi/min
Estimate the product by first rounding each value as indicated.139.947 × 15.4
round each to the nearest ten
A. 2085 B. 150 C. 2800 D. 2090
Solve the problem.Assume that the half-life of Carbon-14 is 5700 years. Find the age (to the nearest year) of a wooden axe in which the amount of Carbon-14 is 30% of what it originally had.
Fill in the blank(s) with the appropriate word(s).
Use the product rule to find the derivative. f(x) = (3x3 + 6)(5x7 - 6)
A. f'(x) = 12x9 + 210x6 - 54x2 B. f'(x) = 150x9 + 210x6 - 54x C. f'(x) = 150x9 + 210x6 - 54x2 D. f'(x) = 12x9 + 210x6 - 54x