Determine the net change and the average rate of change for the function  f(t) = t2 − 4t  between  t = 4  and  t = 4 + h

Q: The pressure, P, (in kilopascals), volume, V, (in cm³), Related rates question: and temperature, T,…

A:

Q: A car is traveling at a rate of 42 feet per second when the brakes are applied. The position…

A: To complete the table

Q: The rate at which a company produces waste, W, in tons per month, is approximated by W = 3.75e¬0.17,…

A: Given: The rate at which a company produces waste W in tons per month is approximated by…

Q: The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the…

A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

Q: Given f(x)=5x2−4x+5, find the average rate of change of f(x) from x=−2 to x=t. Give your answer in…

A: Formula:Average rate of change:For the function y=f(x) between x=a and x=b,The average rate of…

Q: Suppose that the revenue, in dollars, from the sale of x items was R(x) = 60x−0.5x^(2), and the…

A:

Q: The average rate of change of the function f(x)= 4x² + 6x on the interval [1, 3 is %3D 14 22 18 28…

A: here option a is true  because average rate of change is given by on doing differentiation that is…

Q: The function f(t)=1900(1.4)tf(t)=1900(1.4)t represents the change in a quantity over t hours. What…

A:

Q: The rate of change in sales S is inversely proportional to time t (t > 1), measured in weeks.…

A: The rate of change in sales S is inversely proportional to time t. That is, Now integrating on both…

Q: f(x)=x2+2 find average rate of change from -2 to 0 feom 1-3 and from -1 to 2

A:

Q: What is the average rate of change of the function f(t) = t² - 7t between t = and t = -4? -10 -14…

A:

Q: Find the average rates of change of C(x) (i) from x = 100 to x =103 and (ii) from x =100 to x = 101.…

A: The profit Px you get from fixing x devices is given by the equation Px=-1000+12x+0.05x2.

Q: Use the chemical reaction model with a given general solution of y=. y = 95 grams when t = 0; y = 14…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. A…

Q: A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The…

A: Given C(x) = 0.3/x^2 Therefore, Derivative of C(x) = 0.3 (-2)(x^-3) = -0.6/x^3

Q: The average rate of change of f(x) = 3x – 5 over the interval 1 < x< 3 is a) 4 b) 3 c) 9 d)

A: Topic = Functions

Q: Consider the function f(x) = x2 − 3x + 3. (a) Find f' (x) from first principles. (b) Find the rate…

A:

Q: Determine the net change and the average rate of change for the function f(t) = t² – 4t between t =…

A:

Q: The demand for a certain commodity is -05x D(x) = 6000e %3D units per month when the market price is…

A: To find out the rate of consumer expenditure.

Q: Solve the problem. Compute the instantaneous rate of change of the function at at x = a. f(x) = -8x2…

A:

Q: For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is…

A: To find the solution

Q: The total cost C(x) (in dollars) incurred by Aloha Company in manufacturing x surfboards a day is…

A: Given that: Total cost, C(x)=-14x2+500x+140

Q: Find the average rate of change of the function f(x)= x² + 4x from x, =1 to x, = 2. The average rate…

A:

Q: Q18. The marginal propensity to consume (in billins of nupees) is = = 0.6 + d: 0.5 dx 2r1/2 when…

A:

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: Use the formulas below to evaluate dP and ∆P . dP=P'(x)dx∆P=P(x2)-P(x1) Here, dP is the approximate…

Q: 1. The rate of change and when 0,xo = 3 t= when =47 is proportional to When What is the value of t =…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: A newborn baby weighed 10 pounds at birth and was 15 inches tall. After 7 months the baby weighs 17…

A:

Q: Given f(x)=−x2 +5x−1, find the average rate of change of f(x) from x=3 to x=t. Give your answer in…

A: Calculation:The given function is f(x) = -x2+5x-1.Substitute x = 3 in the f(x) = -x2+5x-1.

Q: Let f(x) = 6x2 + 7x - 5. Then the average rate of change of f(x) from 0 to 18 is the same.as the…

A:

Q: Find the average rate of change of f(x) = 6x² Your answer will be an expression involving t. 3 on…

A: The given function is f(x)=6x2-3 We have to find the average rate of change of the function on the…

Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

A:

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A:

Q: An object is moving along a path that can be described as f(x) meters, where x is in seconds and…

A: Topic = Application of derivative

Q: Find the average rate of change of the function f(x) = - 3x+ 8 from a= - 1 tob=2. %3D .... The…

A:

Q: Find the average rate of change of the function f(x)= x + 9x from x, =2 to x, = 4. The average rate…

A:

Q: A factory is dumping pollutants into a river at a rate given by dx/dt=t3/4/400 tons per week, where…

A: Given that A factory is dumping pollutants into a river at a rate dxdt=t34400

Q: The demand for a certain commodity is D(x) = 7000e-.01r units per month when the market price is x…

A:

Q: determine the instantaneous rate of change at x = 2 for f(x) = 5x2 + 3x + 7

A: Topic :- Differentiation

Q: e.-1/35

A:

Q: Find the average rate of change of the function over the given interval. y = Vx, [2, 8] 3 10 O 7 O 2

A:

Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

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

Q: Given f(x)=−4x2+2x−2, find the average rate of change of f(x) from x=3 to x=t. Give your answer in…

A:

Q: | 10. For what value of c is the instantaneous rate of change for the function f(x) = 2\x equal to…

A:

Q: In the theory of learning, the rate at which a subject is memorised is assumed to be proportional to…

A: The subject to be memorized is given by At at time t. The total amount of subject to be memorized is…

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: Please see the explanation below

Q: Find the average rate of change of the function f(x) = x² + 7x from x, = 1 to x2 = 2. The average…

A:

Q: (x) What is the average rate of change of the function f(x) = 2° – 4 from x = 0 to x = 3? %3D - 3 2…

A: Given : f(x) = 2x - 4 From x = 0 to x = 3.   To find the average rate of change of the function.

Q: Find the average rate of change of the function f(x) = x + 3x from x, = 1 to x, = 2. The average…

A: Given function is f(x) = x^2 + 3x

Q: Use differentials to approximate the change in revenue (in dollars) corresponding to an increase in…

A: dydx represent  rate of change in y with respect to x . i.e. how much y changes when x increase by…

Q: Q.3. The rate at which a body cools is proportional to the difference between the temperature of…

A:

Q: r(2r2 + 1)3 V5 – r2 Find the rate of change of f(x) = In when r = 1.

A: