Kudos to AP Art History teachers and students 16% more students gained access to this exciting subject this year, and (in the 13 years I’ve been tracking this) earned higher scores on the full-length exam than any other group except the class of 2018.The function f is defined by f(x) = sin x + cos x for 0 ≤ x ≤ 2π.What is the average height of the object from t = 0 to t = 2? For time t ≥ 0, the height h of an object suspended from a spring is given by h(t) = 16 + 7 cos(πt/4).Which of the following is an antiderivative of.Which of the following is the solution to the differential equation dy/dx = e y+x with the initial condition y(0) = -ln4?.What is the absolute minimum value of g on the closed interval ? The function g is given by g(x) = 4x 3 - 3x 2 - 6x + 1.If g(x) = f -1(x) for all x and the point (0,1) is on the graph of f, what is the value of g'(1)? Let f be the function defined by f(x) = 2x + e x.For 6 < c < 9, there is no value of c such that f'(c) = -3/2. The function f is continuous for all real numbers, and the average rate of change of f on the closed interval is -3/2.Let h be the function given by h(x) = e x The figure above shows the graph of the function g and the line tangent to the graph of g at x = -1.Let k be the function given by k(x) = f(x)/g(x), where g(x) ≠ 0. The table above gives values for the functions f and g and their derivatives at x = 3.What are all values of a and b for which f is differentiable at x = 1? Of the following, which is not a possible value for f(2)? Let f be a differentiable function such that f(0) = -5 and f'(x) ≤ 3 for all x.
For which of the following does lim f(x) = 0?.If the particle is at position x = -2 at time t, what is the position of the particle at time t = 3? A particle moves along the x-axis with velocity given by v(t) = 3t 2 - 4 for time t ≥ 0.For what values of t is the speed of the particle decreasing?
The graph intersects the horizontal axis at t = 0, t = k, and t = m and has horizontal tangents at t = j and t = l. The graph of the particle’s velocity v(t) at time t is shown above for 0 ≤ t ≤ m, where j, k, l, and m are constants.
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