A point P(x, y) in rectangular coordinates is given. Determine the polar coordinates
such that
and
(-
, -1)
A.
B.
C.
D.
Answer: B
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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;
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. +
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
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