Simplify the rational expression.

A.
B.
C.
D.


Answer: C

Mathematics

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Evaluate the integral using the given substitution., u = 5x + 1

A.  + C
B.  + C
C. 2 + C
D.  + C

Mathematics

Factor the special products, which are the sum or difference of two perfect cubes.125a3 - 64b3

A. (5a - 4b)(25a2 + 16b2) B. (5a - 4b)(25a2 + 20ab + 16b2) C. (125a - 4b)(a2 + 20ab + 16b2) D. (5a + 4b2)(25a2 - 20ab + 16b2)

Mathematics

Provide an appropriate response.If f(x, y) = 2x4y3 - 3x3y3 + 4xy - x + 2y + 4, find:(a)fx(x, y)(b)fy(x, y)(c)fxy(x, y)(d)fxy(-1, 1)(e)fyyx(x, y)

What will be an ideal response?

Mathematics

The planet Mercury travels in an elliptical orbit with eccentricity 0.703. Its minimum distance from the Sun is km. If the perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e), find the maximum distance (in km) from Mercury to the Sun. Select the correct answer.

Mathematics