Complete the identity.csc2 x sec x = ?
A. sec x + csc x
B. csc x cot x - sec x
C. sec x + csc x cot x
D. sec x - csc x cot x
Answer: C
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Provide an appropriate response.What effect does a 270° rotation about the origin have on the equation of the ellipse (x2/a2) + (y2/b2) = 1 (a > b)? Give the new equation.
A. 
+ 
= 1
B. - 
+ 
= 1
C. 
- 
= 1
D. 
- 
= 1
Solve the problem.Find the vertices and asymptotes of the following hyperbola:
- 
= 1
A. Vertices: (4, 0), (-4, 0); Asymptotes: y = ± 
x
B. Vertices: (0, 4), (0, -4); Asymptotes: y = ± 
x
C. Vertices: (0, 4), (0, -4); Asymptotes: y = ± 4x
D. Vertices: (0, 16), (0, -16); Asymptotes: y = ± 
x
Perform the indicated operations and simplify the result. Leave the answer in factored form.
+ 
A. x - 4 B. x - 5 C. x + 5 D. x + 4
Solve the problem.The table below lists women's and men's total enrollments at all institutions of higher learning in Country X for various years. College Enrollments (Millions)YearWomenMen19886.35.919907.46.519948.16.820028.97.120069.27.4The enrollments (in millions) of women and men, respectively, can be modeled by the systemW = 0.14t + 5.69M = 0.07t + 5.62where t is the number of years since 1980.(i) Use "intersect" on a graphing calculator to estimate when women's and men's enrollments were approximately equal. What was that enrollment?(ii) Use the models to predict the total enrollment of women and men in 2011.
A. (i) Intersect at approximately (-2.20, 5.98). This means that in 1978, women's and men's enrollment was about 6.0 million students. (ii) Not enough information has been provided. B. (i) Intersect at approximately (-1.00, 5.55). This means that in 1979, women's and men's enrollment was about 5.6 million students. (ii) In 2011, W = 10.03 million students and M = 7.79 million students. C. (i) Intersect at approximately (-1.11, 6.32). This means that in 1979, women's and men's enrollment was about 6.3 million students. (ii) In 2011, so W = 10.31 million students and M = 7.93 million students. D. (i) The functions do not intersect. (ii) In 2011, W = 9.47 million students and M = 7.51 million students.