Provide an appropriate response.Prove that the graph of the polar equation r = 6 csc ? is a horizontal line. Do not graph the equation.

What will be an ideal response?


Convert to rectangular form:
r = 6 csc ?
r = 
r sin ? = 6
y = 6
The graph is the horizontal line y = 6.

Mathematics

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Find the length of the indicated portion of the curve.r(t) = (2cos t)i + (2sin t)j + 3tk, 0 ? t ? ?/2

A. ?
B. ?
C. ?
D. ?

Mathematics

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = x3 - 12x + 2; (-5, 5)

A. local maximum at (-2, 18) local minimum at (2, -14) B. local minimum at (0, 0) C. local maximum at (-2, 18) local minimum at (0, 0) local minimum at (2, -14) D. none

Mathematics

Solve the equation. -  = 0

A.
B.
C.
D.

Mathematics

The average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses according to the rule

?

?
where  measures the rate of change in the number of words/minute of dictation the student takes in machine shorthand after  weeks in the course. Assuming that the average student enrolled in this course begins with a dictation speed of 61 words/minute, find an expression  that gives the dictation speed of the student after  weeks in the course.
?

A.
B.
C.
D.
E.

Mathematics