The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by R=1548e0.0617t Where t=0 corresponds to 2000 At what rate were the revenue changing in 2006

Q: The time rate of change of an alligator population P in a swamp is proportional to the square of P.…

A:

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

A:

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

A:

Q: An accessories company finds that the​ cost, in​ dollars, of producing x belts is given by…

A: The​ cost, in​ dollars, of producing x belts is given by c(x) = 730 + 36x - 0.064x2

Q: For the function y=x2,compute the average rate of change between x=9 and x=10

A: We have to find the average rate of change of function.

Q: A police car traveling south toward Sioux Falls, Iowa, at 160km/h pursues a truck traveling east…

A: Given that a police car is travelling south toward Sioux falls at 160km/hour and  a truck is…

Q: The average births per woman in a country is modeled g(x) = 0.003x²- .18x +3.3 where x is the number…

A:

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

Q: A car traveling south towards Sioux Falls at 160 km/hr is chasing a truck traveling east away from…

A: Given, A car traveling south towards Sioux Falls at 160 km/hr is chasing a truck traveling east away…

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by dC 675…

A: Given Data The equation of the marginal cost is dC//dx=675-0.5x.   Integrate the equation of…

Q: The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is…

A: We have to find

Q: What is the average rate of 5. If f (t) = -3t + 7t, describes the movement of a whale in meters.…

A:

Q: For a certain animal, the surface area S of the body is related to the body's weight W according toS…

A: The surface area S of the body is related to the body's weight W according to S is:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 770…

A: Given: The cost function is given as, C(x)=770+38x-0.062x2 The objective is to find the rate at…

Q: The amount of money present in an investment account can be modeled by the function S(t) =…

A: Put t=10 find s(10) and find growth rate

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

A:

Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, in dollars. Find the rate at which this…

A: Find the rate at which this average cost is changing when 10 shirts are being produced.

Q: Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Determine the instantaneous rate of change at x = 3 for g(x) = x² − 2x+5. A. 2 B. 4 C. 6 D. 8

A:

Q: Estimate the instantaneous rate of change of P(t) = 2t² – 6 at the point t = - 2 |

A:

Q: An object moves according to the function h(t) = -t² + 13, where h(t) is the height, in meters, and…

A:

Q: Water flows from the bottom of a storage tank at a rate of r(t)   =200  -4tliters per minute, where…

A:

Q: The number of bacteria in culture is growing at a rate of r(t) = 3000e^0.6t. At t= 0, the number of…

A: Given rate at which no. of bacteria growing isr(t)=3000e0.6t

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 740…

A: Divide the given function C(x) by the number of units produced ,that is x to obtain the average…

Q: A tennis ball bounces up from a racket, the height of of the ball is h(t) = 45t – 9.8t meters above…

A: We have to find the average velocity of the tennis ball in given time range. In this question we…

Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

A:

Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

A:

Q: Charley stands 34 meters west of Robert. Robert starts walking north at a speed of 2 m/s, and…

A:

Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

A: Answer is mentioned below

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

A: The given function is: y=3t-8t2-t3, 0≤t≤4 where y is the number of frames painted in t hours. Here,…

Q: The yield V (in pounds per acre) for an orchard at age t (in years) is modeled by the function…

A: Given: V=7955e-0.0452/t

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2100…

A: Rate of change of cost function is the derivative of cost function with respect to time .

Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A:

Q: The resale value R​ (in dollars) of a company car after t years is estimated to be given by…

A:

Q: Water flows from the bottom of a storage tank at a rate of  r(t) = 300 − 6t  liters per minute,…

A: If we are given rate of change of quantity by a function then the total quantity change over a…

Q: Find the average rate of change of f(x) = 6x? - 2 on the interval (3, a].

A:

Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

A:

Q: The table gives the profit, P of a fast food chain, where P is in millions of dollars and t is in…

A: Given,

Q: a drug concentration curve is given by C(t)= 20te^-0.2t, which C in mg/ml and t in minutes. What is…

A: A drug cocentration curve isC(t)=20te-0.2tTo find the rate of concentration. We have to…

Q: A tennis ball bounces up from a racket, the height of of the ball is h(t) = 45t - 9.8t meters above…

A:

Q: As y increases by 10,x Jncreases by 5. Which equation represents this rate of change? (7.1B, 7.1D,…

A: Rate of change = change in y /change in x

Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: Water flows from the bottom of a storage tank at a rate of r(t) = √(400 − 4t) liters per minute,…

A:

Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

A: We have to use exponential decay function to solve the problem

Q: A stuntman estimates the time T, in seconds, for him to fall x meters, 15. is T(x) = 0.54Vx. Find…

A: Instantaneous rate of change – It is the rate of change at each instant in time, not over a long…

Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.