Use the properties of logarithms to simplify the expression.ln (4x2 - 16x) + ln 

A. ln (x - 4)
B. ln 
C. ln (16x2(x - 4))
D. ln (x - 16)


Answer: A

Mathematics

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Evaluate the line integral of f(x,y) along the curve C.f(x, y) = cos x + sin y, C: y = x, 0 ? x ? 

A.
B. 2
C. 0
D. 2

Mathematics

Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = -4x2 + x4(i) [1.9, 2.1] (ii) [1.99, 2.01] (iii) [1.999, 2.001]

A. (i) -7.91595; (ii) -7.99919599; (iii) -7.99999200; approaches -8. B. (i) -0.04; (ii) -0.0004; (iii) -0.000004; approaches 0. C. (i) 0.04; (ii) 0.0004; (iii) 0.000004; approaches 0. D. (i) -79.1995; (ii) -799.92; (iii) -7999.992; approaches 0.

Mathematics

Solve.A company has just purchased a new computer for $5000. The company chooses to depreciate the computer using the straight-line method over 5 years. A linear function that expresses the book value V of the computer as a function of its age x is  When will the book value of the computer be $2000?

A. After 2 years B. After 5 years C. After 3 years D. After 4 years

Mathematics

Rewrite the system of inequalities, adding slack variables or subtracting surplus variables as needed. x1 + x2 ? 152x1 + 4x2 ? 23

A. x1 + x2 + s1 = 15 2x1 + 4x2 - s2 = 23 B. x1 + x2 - s1 = 15 2x1 + 4x2 + s2 = 23 C. x1 + x2 - s1 = 15 2x1 + 4x2 - s2 = 23 D. x1 + x2 + s1 = 15   2x1 + 4x2 + s2 = 23

Mathematics