Use an identity to write the expression as a single trigonometric function or as a single number.cos24x - sin24x

A. 2 sin 4x
B. cos 8x
C. cos 4x
D.  sin 16x


Answer: B

Mathematics

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Provide an appropriate response.Use the max-min inequality to show that if f is integrable and f(x) ? 0 on [a, b], then 

What will be an ideal response?

Mathematics

Consider the function .

? A: Estimate the value of  at  by calculating the average rate of change from  to . ? B: Estimate the value of  at  by calculating the average rate of change from  to . ? C: Which of the numbers you calculated in parts A and B is likely to give a better estimate for the true value of  at ? What will be an ideal response?

Mathematics

Use the Rule of 78 to find the payoff amount for the loan paid in full before the date of maturity.Finance charge: $9100Total number of payments: 60Amount per payment: $413Remaining number of payments, when paid in full: 42

A. $13,268.67 B. $13,477.52 C. $13,064.52 D. $12,855.67

Mathematics

Solve for base in the problem. Round to the nearest hundredth, if necessary.75 crates is 70% of    crates.

A. 107.14 B. 52.5 C. 1071.4 D. 10.71

Mathematics