The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, ?).xy = 1
A. r sin 2? = 2
B. 2r sin ? cos ? = 1
C. 2r2 sin ? cos ? = 1
D. r2 sin 2? = 2
Answer: D
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Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(6, 0) = 4096, saddle point;
f(6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
B. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(0, -8) = 1296, saddle point;
f(6, 0) = 5392, saddle point; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum;
f(-6, 0) = 4096, saddle point; f(-6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
C. f(0, 0) = 5392, local maximum; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum; local minimum; f(-6, -8) = 0, local minimum
D. f(0, 0) = 5392, local maximum; f(-6, -8) = 0, local minimum
Find the extreme values of the function and where they occur.y =
A. Absolute minimum value is 0 at x = 0.
B. Absolute minimum value is - at x = -1. Absolute maximum value is
at x = 1.
C. Absolute maximum value is 0 at x = 0.
D. Absolute minimum value is 0 at x = 1. Absolute maximum value is 0 at x = -1.
Write the number as a fraction. Do not simplify.0.648
A.
B.
C.
D.
Write the number in words.57,308,008
A. fifty-seven million, thirty-eight thousand, eighty B. fifty-seven million, three hundred eight thousand, eighty C. fifty-seven million, three hundred eight thousand, eight D. fifty-seven million, thirty-eight thousand, eight