14. If a baby is dropped from a height of 300 meters, its height s at time t is given by s(t) = -4.91² + 300 where s is measured in meters and t is measured in seconds. a. Find the average rate of change on the interval [0,2] seconds. b. Find the instantaneous speed at 4 seconds.

Q: Price-Demand Equation At YasterMart, people are willing to buy a pounds of chocolate candy per day…

A:

Q: 3. The bottom of a 10 foot ladder slides away from a wall. Let r be the distance (in feet) of the…

A:

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars when x cars are…

A:

Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of…

A: To determine the instantaneous rate of change of q with respect to p.

Q: 11. The distance (in feet), s, that an object falls varies directly with the square of the time (in…

A: answer is in next step. please give a like!!

Q: X tangent line 2.00 m 35.00 m 35.00 m

A: Let the length MY is y, so the radius of the circle is (2+y). Now apply the Pythagoras theorem,…

Q: 2. Draw a distance (m) vs. time (s) graph below with the following criteria. Explain your reasoning.…

A: We have to draw the distance (m) vs. time (s) graph using the given information. Let the distance at…

Q: 3. A rectangular box has sides a, b, and c that all change in time. At a certain time to the…

A: In this question we will use basic of application of derivative.  First we will find diameter of box…

Q: A geologist is keeping track of the erosion or an island. The length of the island is changing at a…

A: Rate of change of length of island = 14 inchesyearsChange in the length of the island = 168…

Q: Find the average rate of change of f from x1=-4 to x2=4.    The answer is -1, but I keep getting 1

A:

Q: 8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket…

A: The height of the rocket after t seconds is given by the expression h=98t-4.9t2

Q: 1. The electric resistance R of a wire varies directly as its length Land inversely as its…

A:

Q: 3. The position of an object that is moving along a straight line at t seconds is given by s(t) :…

A: This is a problem of dynamics.

Q: According to Boyle's law the volume, V m³, of a fixed mass of gas is inversely proportional to the…

A:

Q: P(A) )= Eind change when t= 6 CRound rate of 3 decimal places) Find (Romel the rate of Change of P…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. a. b. As a snowball melts, its surface area and volume decrease. The surface area, S, in square…

A: