Solve the problem.Suppose that the accompanying table shows the velocity of a car every second for 8 seconds. Use the Trapezoidal Rule to approximate the distance traveled by the car in the 8 seconds. Round your answer to the nearest tenth if necessary.
A. 198 ft
B. 177.5 ft
C. 269.5 ft
D. 355 ft
Answer: B
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Determine whether the equation defines y as a function of x. y2 + x = 8
A. function B. not a function
Find the real solutions, if any, of the equation. Use the quadratic formula.8x2 - x + 4 = 0
A.
B. no real solution
C.
D.
Eliminate the parameter to obtain a Cartesian equation of the curve.x = et, y = e-t, -? < t < ?
A. y = ex, -? < x < ? B. y = e-ln x, 0 < x < ? C. y = e-x, -? < x < ? D. y = eln x, 0 < x < ?
Evaluate the definite integral and interpret the result.
A. 3; the area between the x-axis and the graph of over the interval
minus the area between the x-axis and the graph of
over the interval
is 3.
B. - ; the area between the x-axis and the graph of
over the interval
minus the area between the x-axis and the graph of
over the interval
is -
.
C. - ; the area between the x-axis and the graph of
over the interval
is -
.
D. 9; the area under the graph of over the interval
is 9.