Use the given transformation to evaluate the integral where R is the region in the first quadrant bounded by the lines y = x, y = 3x and the hyperbolas xy = 2, xy = 4;, y = v.

Select the correct answer.

a. 9.447
b. 3.296
c. 8.841
d. 4.447
e. 5.088


b. 3.296

Mathematics

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Solve the linear inequality. Graph the solution set on a number line, and express the solution using interval notation.-12x + 4 ? -2(5x - 9)

A. (-?, -7)

B. [-7, ?)

C. [-7, ?)

D. (-?, -7]

Mathematics

Solve the system of equations.  x - y + 3z = 5-4x + 4y - 12z = 1  x + 4y + z = 9

A. {(1, 0, 2)} B. ? C. {(0, 2, 1)} D. {(1, 2, 0)}

Mathematics

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.3 + 8 + 13 + ... + (5n - 2) = (5n + 1)

What will be an ideal response?

Mathematics

Estimate any solutions of the equation or system by referring to the graphs shown.3x = 4

A. 1.3 B. -1 C. -0.2 D. 1.8

Mathematics