1) Suppose an object moves along a line at 11 m/s for 0t3 s and at 21 m/s for 3

2) The velocity of an object is given by the following function defined on a specified interval. Approximate the displacement of the object on this interval by subdividing the interval into the indicated number of subintervals. Use the left endpoint of each subinterval to compute the height of the rectangles.

V=3t (m/s), for 0; n=2

3)Find the area of the region bounded by the graph of f(x)=sinx and thex-axis on the interval [/3,3/4].

4)

Use only the fact that 1 3x(8 - x) dx = 1 1 and the properties of integrals to evaluate the integrals in parts a through d, if possible. a) 1 3x(8 - x)dx = 1 b ) x(8 - x) dx = 1 0 C 6x (8 - x) dx = 2 d) Jo 3x (8 - x) dx =The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate the following integral. a y = f(x) F ( * ) dx 21 0 10 O 5Next Question The accompanying figure shows the areas of regions bounded by the graph of f and the x-axis. _ Ay the following integral. y = f(x) C 18 O 14 X O a 14 b CUse geometry to evaluate the following integral. 10 8 if 1Sx57 f(x)dx, where f(x) = 5 if 7