Calories per Minute 15+ 12 6 3 0- (4,9) 4 8 (16, 15) (12,9) 12 Minutes (20, 15) (24,3) 16 20 24 t The rate, in calories per minute, at which a person using an exercise machine burns calories is modeled by the function f. In the figure above, ƒ (t) = − 1 t³ + ³t² + 1 for 0 ≤ t ≤ 4 and fis piecewise linear for 4 ≤ t ≤ 24. Find the total number of calories burned over the time interval 6 ≤ t ≤ 18 minutes.

Q: An oil tank is being drained. The volume, V(t) in litres, of oil remaining in the tank after time t,…

A: here given volume function with time t as Vt=6025-t2

Q: Match each interval with the corresponding rate of change for the function f(x) graphed below.

A: The rate of change from x=a to x=b is given by

Q: 22. Water boils at 212°F (100°C). However, if we change the air pressure, water boils at different…

A: Given The function which approximates the temperature T(in Fahrenheit) at which water boils at…

Q: Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be…

A:

Q: Let T(t) be the temperature (F) in Dallas t hours after midnight on June2, 2001. The table shows the…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find a function rule for determining the number of toothpicks needed to build shape n under the…

A:

Q: The concentration of a drug in the bloodtream t minutes after the injection is modeled by the…

A: Given   We need to find the time when maximum concentration occurs

Q: 8.) Consider the function below. 20 45 X: 10 f(x): 25 a.) Find the rate of change from x = 20 to x =…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The speed of a car in kilometres per hour, at a time of t hours is represented by v(t) = 3t + t².…

A: (a)To find the function c(t ) we substitute the value of v(t) in the place of v in the expression of…

Q: 7. Given the function f(x)=x²-x_and_g(x)=x-1, determine an equation for the combined function g(x)…

A:

Q: Please answer the attached question. Thanks

A: To simplify the expression for the quotiient J(t)=P(t)/N(t)

Q: A ladybug begins to crawl up a vertical wire at time t = 0. The velocity v of the ladybug at time t,…

A: As we know that When particle change its direction , at that point the velocity of the particle will…

Q: LT 6: I can calculate and interpret the average rate of change of a function on an interval. The…

A: Given table years0510expenditure110014501750