A point P(x, y) in rectangular coordinates is given. Determine the polar coordinates  such that  and (-, -1)

A.
B.
C.
D.


Answer: B

Mathematics

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Write the shaded area in the figure as a mixed number and as an improper fraction.

A. 2;  
B. 1;  
C. 1;  
D. 2;  

Mathematics

Solve the problem.Let D be the region bounded below by the cone  and above by the sphere . Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration   .

A.
B.
C.
D.

Mathematics

Solve the problem.A sample of 400 grams of radioactive substance decays according to the function  where t is the time in years. How much of the substance will be left in the sample after 20 years? Round your answer to the nearest whole gram.

A. 1 g B. 0 g C. 33 g D. 243 g

Mathematics

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = 5(x - 4)

A. domain of f: (-?, ?); range of f:(-?, 0)
horizontal asymptote: y = 0

B. domain of f: (-?, ?); range of f:(-?, 0)
horizontal asymptote: y = 0

C. domain of f: (-?, ?); range of f:(0, ?)
horizontal asymptote: y = 0

D. domain of f: (-?, ?); range of f:(0, ?) 
horizontal asymptote: y = 0

Mathematics