Solve the inequality and write the answer in interval notation.
?
What will be an ideal response?
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Solve the problem.Find the scalar projection of u = 4i + 5j on v = i + j.
A. 9
B. 
C. 
D. - 
Provide an appropriate response.Let f(x) = 
, x ? 1.(a) Find the area of the region between the graph of y = f(x) and the x-axis.(b) If the region described in part (a) is revolved about the x-axis, what is the volume of the solid that is generated?(c) A surface is generated by revolving the graph of y = f(x) about the x-axis. Write an integral expression for the surface area and show that the integral converges.(d) Use numerical techniques to estimate the area of the region in part (c), to an accuracy of at least two decimal places.
What will be an ideal response?
Find the requested value.f(x) = 3x2 + 3, g(x) = x + 7Find f(-5) - g(-5).
A. 90 B. 76 C. -73 D. 66
Use a system of linear equations to solve the problem.Two cars leave a city and head in the same direction. After 3 hours, the faster car is 21 miles ahead of the slower car. The slower car has traveled 132 miles. Find the speeds of the two cars.
A. 46 mph and 53 mph B. 70 mph and 77 mph C. 37 mph and 44 mph D. 44 mph and 51 mph