Solve the quadratic inequality. Write your answer in interval notation.x2 - 13x + 42 > 0
A. (7, ?)
B. (6, 7)
C. (-?, 6)
D. (-?, 6) ? (7, ?)
Answer: D
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Find the mass of the wire that lies along the curve r and has density ?.C1: r(t) = (5 cos t)i + (5 sin t)j, 0 ? t ? ;C2: r(t) = 5j + tk, 0 ? t ? 1; ? = 7t5
A. units
B. units
C. ?5 units
D. ?5 units
L'Hopital's rule does not help with the given limit. Find the limit some other way.
A. -1 B. 0 C. 1 D. ?
Solve the problem.Forensic scientists use the lengths of certain bones to calculate the height of a person. When the femur (f), the bone from the knee to the hip socket is used, the following formula applies for men: where h is the height and f is the length of the femur. Find the height of a man with a femur measuring 50 centimeters.
A. 3566.5 cm B. 8.52 cm C. 181.09 cm D. 119.09 cm
Solve the problem. A reasonable quadratic model for the population of a certain city is found to be where B(t) is the population (in thousands) of the city in the year that is t years since 2012. A reasonable quadratic model for the number of residents of that city who were born outside the United States is
where F(t) is the number (in thousands) of foreign-born residents of the city in the year that is t years since 2012. Let P(t) be percentage of residents of the city who were born outside the United States in the year that is t years since 2012. An
equation for P is P(t) = . Use P to predict when the city will have 15.3% foreign-born residents.
A. 2030
B. 2028
C. 2029
D. 2031