The population P of a city grows according to the differential equation dP/dt = kP, where k is a constant and t is measured in years.What is the volume of the solid generated when the region bounded by the graph of x = √(y - 2) and the lines x = 0 and y = 5 is revolved about the y-axis?.The graph of a twice-differentiable function f is shown in the figure above.How many relative extrema does f have on the open interval -4 < x < 2? Let f be the function with first derivative given by f'(x) = (3 - 2x - x 2) sin (2x - 3).
If f'(x) > 0 for all x and f''(x) What is the velocity of the particle at the first instance the particle is at the origin? A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = cos √t.Which of the following statements is true? The graph of a function f is shown in the figure above.If f is increasing over the closed interval, which of the following could be the value of The table above gives selected values for a continuous function f.On the interval (-2.5, 2.5), at which of the following values of x does f have a relative maximum? The derivative of the function f is given by f'(x) = x 3 - 4 sin(x 2) + 1.If the initial temperature of the tea, at time t = 0 minutes, is 200 °F and the temperature of the tea changes at the rate R(t) = -6.89e -0.053t degrees Fahrenheit per minute, what is the temperature, to the nearest degree, of the tea after 4 minutes? A cup of tea is cooling in a room that has a constant temperature of 70 degrees Fahrenheit.
If s is increasing for 0 ≤ t 2, which of the following is the total distance the particle travels for 0 ≤ t ≤ 5? 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 ?
0 kommentar(er)
