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
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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
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
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
src="https://sciemce.com/media/4/ppg__c6.10509190827__f1q99g4.jpg" alt="" style="vertical-align: -4.0px;" /> to the horizontal. Round your answer to two decimal places. A. 464.89 ft B. 444.58 ft C. 232.44 ft D. 444.48 ft
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%