Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
4 ?
2
A.
B.
C.
D.
Answer: A
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Calculate the Taylor polynomial of second order that approximates f(x, y) near a.f(x, y) = ln (2x + y) + y2, a = (0, 1)
A. 1 + 2x + 3(y - 1) - 2x2 - 2x(y - 1) + (y - 1)2
B. 2x + 3(y - 1) - 2x2 - 2x(y - 1) - (y - 1)2
C. -2 + 2x + 3(y - 1) - 2x2 - 2x(y - 1) + (y - 1)2
D. -1 - 2x - 3(y - 1) + 2x2 - 2x(y - 1) + (y - 1)2
Decide whether the statement is true or false.There are infinitely many negative fractions greater than negative one.
A. True B. False
Provide an appropriate response.Find the roots of the following equation: (3x - 2)(x + 4) = 0
Fill in the blank(s) with the appropriate word(s).
Find all complex roots. Write the answer in polar form, with 0 ? ? ? 360°.Cube roots of - i
A. 2(cos 100° + i sin 100°), 2(cos 220° + i sin 220°), 2(cos 340° + i sin 340°)
B. 2(cos 110° + i sin 110°), 2(cos 230° + i sin 230°), 2(cos 350° + i sin 350°)
C. (cos 100° + i sin 100°),
(cos 220° + i sin 220°),
(cos 340° + i sin 340°)
D. (cos 110° + i sin 110°),
(cos 230° + i sin 230°),
(cos 350° + i sin 350°)