Evaluate the integral
where f(x, y, z)= xy² +yz² and B= {x, y, z) | 0 ? x ? 2,- 1 ? y ? 1, 0 ? z ? 3} with respect to x, y, and z, in that order.
a. 28
b. 36
c. 4
d. 24
c. 4
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Find all numbers not in the domain of the function.f(x) =
A. 2, -1 B. - 2 C. None D. 2
Shade the Venn diagram to represent the set.B ? (A ? C')
A.
B.
Solve the problem.The table shows the population of a certain city in various different years. Use regression to find values for a and b so that f(x) = axb models this data, where x represents the number of years since 1990 and f(x) is the population of the city in hundreds of thousands. Round your answers to 4 decimal places.
A. a ? 1.8506, b ? 0.5121 B. a ? 1.7025, b ? 0.5375 C. a ? 2.1375, b ? 0.4432 D. a ? 2.6352, b ? 0.4756
Use identities to fill in the blank with the appropriate trigonometric function name.tan 14° =
A. cot B. sec C. csc D. tan