Answer the question.Use two different methods to simplify the fraction. Explain each step of your work.

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One method is to simplify the numerator and denominator separately, multiply the numerator by the reciprocal of the denominator, and simplify the resulting fraction, if possible.
 =  =  ?  = 
The second method is to multiply the numerator and denominator of the complex fraction by the least common denominator of the fractions in the numerator and the fractions in the denominator of the complex fraction, and then simplify the resulting fraction, if possible.
 =  =  = 
(Explanations will vary.)

Mathematics

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Use Euler's method with the specified step size to estimate the value of the solution at the given point x*. Find the value of the exact solution at x*.y' = y - e-1x, y(0) = 2, dx = 1/3, x* = 2

A. Euler's method gives y ? 9.2983; the exact solution is 12.9315 B. Euler's method gives y ? 8.2740; the exact solution is 11.1513 C. Euler's method gives y ? 8.9605; the exact solution is 12.3212 D. Euler's method gives y ? 9.4866; the exact solution is 13.3004

Mathematics

Determine the most appropriate metric unit to go in the blank. Choose from km, m, cm, mm, L, mL, kg, g, and mg.The bird's wingspan is 21  .

A. mm B. mg C. mL D. cm E. m

Mathematics

Solve the problem using inductive reasoning.How many rectangles are there in the last two figures?  ? 1 rectangle  ? 3 rectangles  ?  rectangles 

width="277" /> ?  rectangles

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Mathematics

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = -9xz2i + 2yj + 3z3k; D: the solid wedge cut from the first quadrant by the plane  and the elliptic cylinder x2 + 9y2 = 16

A.
B.
C.
D.

Mathematics