If x = 4 cot ?, use trigonometric substitution to write  as a trigonometric function of ?, where 0 < ?< ?.

A. ?4 cos ?
B. ?4 csc ?
C. ?4 cot ?
D. ?4 sec ?
E. ?4 sin ?


Answer: B

Mathematics

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Sketch the graph of the function and find the domain and range.f(x) = -x2 - 3

A. domain: all real numbers
range: y ? 3

B. domain: all real numbers
range: y ? -3

C. domain: x ? -3
range: y ? 0

D. domain: all real numbers
range: y ? -3

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Provide an appropriate response.Which of the following sequences do not meet the conditions of the Integral Test? I.  an = n(sin n + 1) II.  an =  III.  an = 

A. II and III B. I only C. I and III D. I, II, and III

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Solve the problem.The path of a projectile fired at an inclination ? to the horizontal with an initial speed vo is a parabola. The range R of the projectile, the horizontal distance that the projectile travels, is found by the formula  where  feet per second or  meters per second. Find the range of a projectile fired with an initial velocity of 160 feet per second at an angle of 

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Mathematics

Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use this information to find the requested percent.Find the percent of home prices between $148,900 and $151,100 if the standard deviation is $1100.

A. 95% B. 99.7% C. 68% D. 34%

Mathematics