Specify the domain of the function.f(x) = 
A. All real numbers
B. x >
C. x ? 10
D. x ? 10
Answer: D
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Let . If y is decreased by 17%, how is x affected? Express your answer in terms of a percent. Round your answer to two decimal places if necessary.
?
A. x is decreased by 5.8% B. x is increased by 5.8% C. x is decreased by 5.16% D. x is increased by 5.16%
Calculate the arc length of the indicated portion of the curve r(t).r(t) = 11t3i + 2t3j + 10t3k, 1 ? t ? 3
A. 5850 B. 390 C. 1950 D. 130
Solve the problem.The two equal sides of an isosceles triangle measure three feet. Let the angle between the sides measure ?. Find the area A of the triangle as a function of . The answer may include more than one trigonometric function.
What will be an ideal response?
Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively. A town experiences 10.99 hours of sunlight at the summer solstice and 8.42 hours of sunlight at the winter solstice. Find a sinusoidal function that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)
A. y = 1.285 sin + 9.705
B. y = 10.99 sin + 8.42
C. y = 10.99 sin + 9.705
D. y = 1.285 sin + 9.705