Calculate the surface area of the given surface.The part of the plane with equation 3x + 4y + z = 16 and lying in the first octant.
A.
B.
C. 13
D.
Answer: B
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Solve the problem.Maxwell's theory of electromagnetic waves established that electromagnetism moved through space in waves. Under certain conditions, an equation that Maxwell used to explain the motion of such waves would take the form where ? is the angle of incidence of the original wave, ? is the angle of incidence of the wave when reflected, A is the amplitude of the original wave, and B is the amplitude of the wave when reflected. Express
in terms of sin ?, cos ?, sin ?, and cos ?.
A.
B.
C.
D.
Write the number in expanded form.72,536
A. 7 thousands + 2 hundreds + 5 tens + 36 ones B. 7 ten thousands + 2 thousands + 5 hundreds + 3 tens + 6 ones C. 6 ten thousands + 3 thousands + 5 hundreds + 2 tens + 7 ones D. 72,536 ten thousands
Find the domain of the function.f(x) =
A. all real numbers, or (-?, ?) B. {x|x < 7}, or (-?, 7) C. {x|x ? 0}, or (-?, 0) ? (0, ?) D. {x|x ? -7}, or (-?, -7) ? (-7, ?)
Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x).f(x) = ln (4 - x) - 6; g(x) = ln x
A. Reflect across the y-axis and then translate 4 units to the left and 6 units down. B. Reflect across the x-axis and then translate 4 units to the left and 6 units down. C. Translate 4 units to the right and 6 units down. D. Reflect across the y-axis and then translate 4 units to the right and 6 units down.