Verify the identity.csc4 x - cot4 x = csc2 x + cot2 x

What will be an ideal response?


csc4 x - cot4 x = (csc2 x + cot2 x)(csc2 x - cot2 x) = (csc2 x + cot2 x)(1) = csc2 x + cot2 x.

Mathematics

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Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).f(x, y) = 

What will be an ideal response?

Mathematics

Provide an appropriate response.Find the prime factorization of 72.

A. 1 ? 2 ? 2 ? 2 ? 3 ? 3 B. 2 ? 3 ? 3 ? 4 C. 8 ? 9 D. 2 ? 2 ? 2 ? 3 ? 3

Mathematics

Solve the problem.In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by  where t is the number of years since 2010. What is the slope of the graph of this function? Write a sentence interpreting this value.

A. -0.4; The average consumption of beef in this town is increasing by 0.4 pounds per person per year. B. -0.4; The average consumption of beef in this town is decreasing by 0.4 pounds per person per year. C. 35; The average consumption of beef in this town is increasing by 35 pounds per person per year. D. 35; The average consumption of beef in this town is decreasing by 35 pounds per person per year.

Mathematics

Add or subtract as indicated.-1 + 12 - 6 - (-11) + (-7)

A. -11 B. 9 C. -1 D. -13

Mathematics