Multiply. Write your answer in lowest terms.
? 
A.
B.
C.
D.
Answer: C
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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = x7 sin x
A. 7 sin x ln x
B. 7 x7 sin x
C. 7 cos x ln x +
D. x sin x
The percent of light that will pass through a material is given by the formula lgP = -kd, where P is the percent of light passing through the material (in fractions), k is a constant that depends on the material, and d is the thickness of the material in centimeters. The constant k for a piece of tinted glass is 0.4. How thick (in centimeters) is a piece of this glass that allows 50% of the light incident to the glass to pass through it? Round to the nearest hundredth of a centimeter.
a. 1.73 b. 0.75 c. 4.25 d. 9.78 e. 3.32
Add or subtract, if possible. Assume that all variables represent non-negative values and be sure to simplify your answer. +
A.
B.
C.
D. +
Use a graphing calculator to find the approximate location of all relative extrema.f(x) = x4 - 3x3 - 21x2 + 74x - 45
A. Relative maximum at x = 1.604; Relative minima at x = -3.089 and x = 3.735 B. Relative maximum at x = 1.685; Relative minima at x = -3.179 and x = 3.744 C. Relative maximum at x = 1.538; Relative minima at x = -3.112 and x = 3.678 D. Relative maximum at x = 1.546; Relative minima at x = -3.051 and x = 3.655