Determine the domain and range of the function.
A. domain: [0, ?); range: [-3, ?)
B. domain: [0, ?); range: [0, ?)
C. domain: [0, ?); range: (-?, ?)
D. domain: (-?, ?); range: [-3, ?)
Answer: A
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Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = 8, saddle point; f(4, 4) = 520, local maximum B. f(0, 0) = 8, test is inconclusive C. f(4, 0) = 8, local minimum; f(0, 4) = 8, local minimum D. f(4, 4) = 520, local maximum
Find the flux of the curl of field F through the shell S.F = 3zi - 6xj - 4yk ; S: r(r, ?) = r cos ?i + r sin ?j + 5rk, 0 ? r ? 5 and 0 ? ? ? 2?
A. 150? B. -150 C. 0 D. -150?
Solve.The formula Z = R sec ? gives the impedance Z (in ohms) in an ac circuit with resistance R (in ohms) and phase angle ? (in radians). Find the average value of Z for an 88.9-? resistor as ? ranges from ?/8 radians to ?/3 radians.
A. 154.9 ? B. 124.1 ? C. 162.3 ? D. 81.2 ?
Find the exact value of the trigonometric expression without the use of a calculator.
A. -
B. -2
C. - 
D. - 