Find the limit of the function algebraically.

A. 1
B. -12
C. -6
D. Does not exist


Answer: B

Mathematics

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A series circuit with R, XC, and XL is in resonance. If R = 60 ê, XC = 300 ê, and XL = 300 ê, what is the value of Z?

a. 220 ê b. 330 ê c. 660 ê d. 60 ê e. 360 ê

Mathematics

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.6 + 12 + 18 + ... + 6n = 3n(n + 1)

What will be an ideal response?

Mathematics

Use the simplex method to solve the linear programming problem.Maximizez = x1 + 2x2 + 4x3 + 6x4subject to:x1 + 2x2 + 3x3 + x4 ? 100 3x1 + x2 + 2x3 + x4 ? 75withx1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0

A. Maximum is 300 when x1 = 0, x2 = 0, x3 = 75, x4 = 0 B. Maximum is 150 when x1 = 0, x2 = 75, x3 = 0, x4 = 0 C. Maximum is 600 when x1 = 0, x2 = 0, x3 = 0, x4 = 100 D. Maximum is 450 when x1 = 0, x2 = 0, x3 = 0, x4 = 75

Mathematics

Find an equation for the line with the given properties.Parallel to the line 9x + 5y = 68; containing the point (7, 9)

A. 5x + 9y = 9 B. 9x + 5y = 108 C. 9x - 5y = 108 D. 7x + 5y = 68

Mathematics