Q1)LetP(t)represent the price of a share of stock of a corporation attimet.What does each of the following statements tell us about the signsof the first and second derivatives ofP(t)?
(a)"The price of the stock is rising faster and faster."
1) Both the first and second derivatives are positive.
2) The first derivative is positive and the second derivative isnegative.
3) The first derivative is negative and the second derivative ispositive.
4) Both the first and second derivatives are negative.
5) Both the first and second derivatives are zero.
(b) "The price of the stock is close to bottoming out."
1) Both the first and second derivatives are positive.
2) The first derivative is positive and the second derivative isnegative.
3) The first derivative is negative and the second derivative ispositive.
4) Both the first and second derivatives are negative.
5) Both the first and second derivatives are zero.
Q2)The figure gives the position,f(t),of a particle at timet.At which of the marked values oftcan the following statements be true? (Enter your answers ascomma-separated lists.)
(a) the position is positive
(b) the velocity is positive
(c) the acceleration is positive
(d) the position is decreasing
(e) the velocity is decreasing
Let P(t) represent the price of a share of stock of a corporation at time t. What does each of the following statements tell us about the signs of the first and second derivatives of P(t)? Both the first and second derivatives are positive. The first derivative is positive and the second derivative is negative. The first derivative is negative and the second derivative is positive. Both the first and second derivatives are negative. Both the first and second derivatives are zero. Both the first and second derivatives are positive. The first derivative is positive and the second derivative is negative. The first derivative is negative and the second derivative is positive. Both the first and second derivatives are negative. Both the first and second derivatives are zero. The figure gives the position, f(t), of a particle at time t. At which of the marked values of t can the following statements be true? (Enter your answers as comma-separated lists.) the position is positive the velocity is positive the acceleration is positive the position is decreasing the velocity is decreasing
