Evaluate the integral.
A. 
x2e2x - 
xe2x + 
e2x + C
B. 
x2e2x - 
xe2x + 
e2x + C
C. 
x2e2x - xe2x + 
e2x + C
D. 
x2e2x - 
xe2x + C
Answer: A
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Solve the problem.The number of family practice physicians in a certain country can be approximated by the equation 
where x is the number of years since 2010 and y is the number of physicians in thousands. Write the equation in slope-intercept form and identify the slope and y-intercept. Then, explain the meaning of the slope in this specific equation.
A. y = 
x + 510, m = 
, y-intercept is (0, 510); The slope is the amount of decrease in thousands in the number of family practice physicians in this country per year.
B. y = 
x + 51, m = 
, y-intercept is (0, 51); The slope is the amount of increase in thousands in the number of family practice physicians in this country per year.
C. y = 
x + 510, m = 
, y-intercept is (0, 510); The slope is the amount of increase in thousands in the number of family practice physicians in this country per year.
D. y = 
x + 51, m = 
, y-intercept is (0, 51); The slope is the amount of decrease in thousands in the number of family practice physicians in this country per year.
Sides in pair of figures are proportional. Find missing length(s).
Give your answers as mixed numbers if appropriate.
A. x = 11
, y = 10
, z = 5
B. x = 11
, y = 13
, z = 5
C. x = 11
, y = 13
, z = 5
D. x = 8, y = 9, z = 6
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole.The enrollment at a local college increased 4% over last year's enrollment of 2100. Find the current enrollment.
A. 2940 students B. 84 students C. 2104 students D. 2184 students
Solve.The population P, in thousands, of Pine Grove is given by P(t) = 
, where t is the time, in months. Find the interval on which the population was 40 thousand or greater.
A. [0.942, 3.058] B. (-?, ?) C. [3.058, ?) D. [1.177, 3.823]