17. If P'(t) is the rate a deer population grows per year, write a sentence explaining what S P'(t) dt represents. 18. v(t)=t-3 is the velocity of a particle in cm/sec. Find the distance traveled by the particle in the first four seconds.

Q: 2. The position of a particle as it glides along a horizontal track at time t t² + 21 feet from a…

A:

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.3 4.5 10.3 17.5…

A: The objective of the question is to calculate the average velocity of the cyclist for different time…

Q: Suppose you are traveling on the freeway with a velocity of 65 mph when you notice traffic is…

A:

Q: Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm3) in terms…

A: 1.Volume of sphere is given by;-v(r)=43πr3mm3

Q: ii. 1. A diver jumps off a springboard 10 m above water with an initial upward velocity of 12 m/sec.…

A: Let's find maximum height, velocity when she hits water.

Q: An object moves along the x-axis according to the function (t) = t² - 2t. What is the instantaneous…

A: The position function of the object which is moving along the x -axis isFormula Used: To determine:…

Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

A: The height is given by the function We know thatThe average velocity over the interval is given by…

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: A lighthouse is located 40 meters off-shore. The beam of light from the lighthouse rotates at a rate…

A: We will use derivative to find speed of the beam