Find the gradient ?f.f(x, y, z) = xyz ln (x + y)
A. yz ln (x + y)i + xz ln (x + y)j + k
B. i +
j +
k
C. i +
j + xy ln (x +y)k
D. i +
j + z ln (x + y)k
Answer: C
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Find the amount of taxable income and the tax owed for the following people. The letter following the name indicates the marital status and all married people are filing jointly. Use $4050 for each personal exemption; $6300 as the standard deduction for single taxpayers, $12,600 for married taxpayers filing jointly, and $9300 for head of household and the following tax rate schedule.
A. $3,416; $341.60 B. $6,061; $606.10 C. $2,011; $201.10 D. $8,866; $957.40
Change the given polar coordinates (r, ?) to Cartesian coordinates (x, y).
A. (-7, 0) B. (0, 7) C. (7, 0) D. (0, -7)
Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula.-7, -3, 1, 5, 9, . . .
A. an = 4n - 11 B. an = -7 + 4n C. an = -4n + 11 D. an = 4n + 11
For the pair of functions, find the indicated domain.f(x) = 2x - 5, g(x) = Find the domain of f/g.
A. (-4, 4) B. (-4, ?) C. [4, ?) D. [0, ?)