These are not new versions have been posted for the last few years and these are only slightly revised and updated. For the next weeks through the beginning of April I will be posting notes for reviewing. So, it’s time to start planning your review. A particle moves on the x-axis so that at any time t, 0 ≤ t ≤ 1, its position is given by x(t) = sin(2πt) + 2πt.It will soon be time to start reviewing for the AP Calculus Exams.If y = x 2 - 2x and u = 2x + 1 then dy/dx =.If f is the function defined above, then f(-1) is.Let f be the function defined by f(x) = 2x 3 - 3x 2 - 12x + 18 of f both decreasing and concave up?.
What rate is w changing with respect to time when x = 6 and y = 20 ? If x isĭecreasing at a constant rate of 1 unit per minute and y is increasing at a constant rate of 4 units per minute, at
Functions w, x, and y are differentiable with respect to time and are related by the equation x = x 2y.For what values of x does the graph y = 3x 5 + 10x 4 of have a point of inflection?.In which step, if any, does an error first appear? A student attempted to solve the differential equation dy/dx = xy with initial condition y = 2 when x = 0.If f(x) = ae -ax for a > 0, then f'(x) =.On what intervals is the function y = g(x 3 - 6x 2) increasing? The function y = g(x) is differentiable and increasing for all real numbers.
If the particle is at x = 4 when t = 0, what is the position of the particle when 2 = π/2?
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