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The function f is continuous on the closed interval [0,6] and has values given in the table above. The trapezoidal approximation found with 3 subintervals is 52. What is the value of k?
A particle moves along an axis so that at any time t>0, its velocity is given by v(t)=4-6t2. If the particle is at position p=7 at t=1, what is the position of the particle at t=2?
What is the area of the region enclosed by the graphs of f(x)=x-2x2 and g(x)=-5x?
The velocity of a particle moving along an axis is given by v(t)=2-t2 for t>0, what is the average velocity of the particle from t=1 to t=3?