The function c(x) models the number of cookies sold each day by a bakery during a 10-day period. 150 100 50 8 10 Time (days) What is the rate of change from Day 1 to Day 6? Number of Cookies Sold 4x

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: GIVENThe length of the rectangle is twice its width W

Q: 7. Find the average rate of change for the function f(x) = 24x' - 36x - 528x – 1260 over-25x54.

A:

Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

A: ht=-4.9t2+187t+297

Q: The annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per…

A: Given, Annual sales for restaurant= $650,000 Rate=4%   Exponential growth function (Y) Let 'P' be…

Q: At the surface of the ocean, the water pressure is the same  as the air pressure above the water, 15…

A: Let the distance be measured from the surface of ocean. The distance be represented by variable h…

Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: f(x) = 4πx33 Volume of sphere , f(x) = 4πx33 where,  x is the radius of sphere in inches.…

Q: For the function y =x, compute the average rate of change between x= -5 and x= 7. The average rate…

A:

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

A: Given C(x) = -14x2+500 x +150

Q: The function f(x) = (4/3) πx3 describes the volume, f(x), of a sphere of radius x inches. If the…

A: fx=43πx3 Differentiating with respect to x, we get f'x=ddx43πx3=43π·3x2            ∵dxndx=nxn-1=4πx2

Q: Make a sign diagram for the derivative of the function. f(x) = −x4 + 8x3 − 16x2 + 3   x=…

A:

Q: A population of 200 rabbits was introduced to an island. One week later the number of rabbits was…

A: The general function is of the form p(t)=abt,where a is the initial population, t is the time in…

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: (***) The concentration of a certain drug, in mg/L, can be modeled by the following function: C(t)=…

A: Given function is,

Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P' (x) = 3 (2а —…

A: THE SOLUTION IS GIVEN BELOW

Q: Annual sales of bottled water in the U.S. in the period 2000-2010 can be approximated by the…

A:

Q: A ball is thrown in the air from the top of a building. It’s height, in meters above ground ,as a…

A: Consider the given function ht=-4.92+30t+10

Q: An object dropped from a height of 400 feet has a height, h(t), in feet after t seconds have…

A: Given : h(t)=400-16t2   To find : a) t(h)b) time to reach height of 350 feet

Q: Šuppose that the price p, in dollars, and the number of sales, x, of a certain item are related by…

A: Differentiate the given relation with respect to time 't'.

Q: You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Consider the dimensions of rectangle be x and y. and Perimeter of rectangle is 600 feet. we know…

Q: You have 800 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A:

Q: The function f(x) = πx2 describes the area of a circle, f(x), in square inches, whose radius…

A: Given,  The area of the circle is described by the function  fx=πx2 in square inches. Where x is the…

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: The function f(x)=1+1.3 In (x+1) models the average number of free throws a basketball player can…

A: Obtain the average number of consecutive free throws the basketball player makes after 100 days.

Q: The function f(x) = 1.2x - 36x + 264x+ 562 below models the number of discharges from the military,…

A:

Q: In the feasibility test for the flight movement of a drone, it is known to have a function of the…

A:

Q: Referring to f (x)= 1/x which function shifts down 6 units?

A: Answer

Q: Nuclear energy derived from radioactive iso- topes can be used to supply power to space vehicles.…

A: Consider the given function. y=40e-0.004t Put t=180 in the above function.…

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

A:

Q: c. Use function notation to represent the change in Sam's height above the ground over the time…

A: (c) The function notation to determine the change in the "S" height from t=4 to t=10 seconds is,…

Q: 1. The function f gives the discharge rate of the Kalamazoo river in m³/s as a function of x miles…

A:

Q: linearization

A:

Q: 46. A company has a revenue function given by R(x) = 20x-(0.997)* dollars when x items are sold.…

A: Given revenue function is Rx=20x·0.997x dollars. Instantaneous rate of change of function is change…

Q: If g(x) is the f(x)=x after a vertical compression by 4/5, a shift right by 3, and a shift down by…

A: As we know that the graphical transformation. fx→afx, the graph compresses by ''a'' units along the…

Q: The population of a town, in thousands, is described by the function P(t) = -1.5t² + 36t+ 6, where t…

A: Average rate of change of a function f(x) from x=a to x=b  favg =fb-fab-a

Q: What is function's long-run behavior? f(x)=x-6/x^2-16

A:

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

A:

Q: Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

A: Given: Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

Q: During a month-long advertising campaign, the total sales S of a magazine is modeled by the function…

A:

Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A: Total amount of pollutant dumped is obtained by integrating the function A(t)

Q: f) The prices y of a Christmas tree based on the height x if: a 6-foot tree costs between $20 – $50…

A: Since, the price of a 6-foot tree is between $20-$50. So, the price of two tree of same height of…

Q: (a) Determine the intervals of increase and decrease for f(x).

A:

Q: f (z) = 2

A:

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10.…

A: According to the question: It is given that dPdx=0.0006x2+10. we have to find P when x=100. Now…

Q: Find the points on the graph of the function that are closest to the given point. f(x) - х2 - 2, (0,…

A:

Q: a company bought the k machine for 2.000 $ The value of the machine decreases over time depending on…

A:

Q: Express the area A of a circle as a function of its radius, r. Determine the area of a circle whose…

A:

Q: Locate the discontinuities of the function. 10 y = 2+e3/ X =

A: y=102+e3x Now, limx→0-102+e3x=102+0=5 & limx→0+102+e3x=102+∞=0

Q: The population of Boston, MA in 2019 was 692,600 people with an annual rate of increase 1.4%. In…

A: Given the function of population grows is P(x) = 692,600·1.014x where x is number of years. We have…

Q: Consider the graph of a function, which shows the number of customers in a department store, y,x…

A: the average rate of change of the function from x=6 to x=12, in customers per hour is given as