ufmaine.blogg.se - Ap calculus ab multiple choice 2013 question 25

For time t > 0, the position of a particle traveling along a line is given by a differentiable function s.

If f(0) = 0, which of the following could be the graph of f ?

The figure above shows the graph of f', the derivative of the function f.

Let f and g be continuous functions such that.

The graph of the function f shown above consists of two line segments and a semicircle.

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. A particle moves along a straight line.What is the instantaneous rate of change of f at x = 3? Let f be the function given by f(x) = x 3 - 6x 2 + 8x - 2.Which of the following is an equation of the line tangent to the graph of x 2 - 3xy = 10 at the point (1,-3)?.Which of the following definite integrals has the same value as.