Зх -7 x< 6 43xS12 1. For the function Show how you arrived at your answer. f (x)= [.75x +10 x26, find the average rate of change over the interval

Q: Snowballs formed by kids in winter season is found to melt in such a way that the rate of change in…

A:

Q: Find the rate of change. Cube root 3√x with respect to x when x = 1, 8, 27

A: Consider the given: fx=x3ddxfx=ddxx3ddxfx=ddxx13ddxfx=13x13-1ddxfx=13x23

Q: Find the average rate of change of f(x) interval [3, a]. Your answer will be an expression involving…

A:

Q: A company's revenue from selling x units of an item is given as R = 1600x - x. If sales are…

A:

Q: Find the rate of change of 1/x with respect to x when x=2

A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

Q: The average cost per unit, y, of producing x units of a product is modeled by y= 750,000 + 0.55x /x.…

A:

Q: A cube of ice is melting so that each edge is decreasing at the rate of 2 inches per hour. Find how…

A:

Q: |The rate of growth, in dollars per year, of the net worth, f(t), of a company is given by f'(t) =…

A: We need to find worth of company.

Q: The rate of growth of profit (in millions) from an invention is approximated by P'(x) =xe x, where x…

A:

Q: Water is running into a hemispherical bowl having a radius of 10 cm at a constant rate of 3 cu.…

A: Calculus Question

Q: Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.3​% per year.…

A: To solve the following problem

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: The total profit function for a ghost busting business is given by P(z) = -z + 70z – 470 dollars…

A: Given Data: The total profit function is: Px=-x2+70x-470 ......1 The busted ghosts is: x=48

Q: What is the average rate of change of -2x2 on the interval [-2, 1]? O 2 10 O -2

A:

Q: Estimate the average rate of change for the graph above from X=2 to x=3 

A: We have to estimate the average rate of change for the graph above from x=2 to x=3 

Q: snip

A: The average rate of change is the slope of the linear function or it can be said that it is the…

Q: Find the average rate of change of g(x) = - 5x – 1 between the points (-4,19) and (3,-16)

A:

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

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10

Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs4. Find the rate of…

A: Let y represent items and x represent hours Given y=40x To find rate of learning at the end of 1…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That…

A: Given: N'(t)=0.049 N(t)Therefore:dNdt=0.049 N

Q: One leg of a right triangle is always 6 centimeters long, and the other leg is increasing at a rate…

A: Topic:- application of derivatives

Q: A bicyclist is riding on a path modeled by the function f(x) = 0.04(8x − x2 ), where x and f(x) are…

A: The given function is f(x)=0.048x-x2

Q: A spherical balloon is expanding with time where r=3t. What is the formula for the rate of change of…

A:

Q: How to find the rate of change of y=x^2-3 over the interval (-2,0)

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That…

A: Nt : the number of applications for patents ---------------------------------------------------…

Q: The length of a rectangle is increasing at arate of 5 cm per second and its width is decreasing at…

A: Given :- The length of a rectangle is increasing at a rate of 5 cm per second and its width is…

Q: Consider the ordered pair of points below. (X1, V1) = (-8, -7) (x2, Y2) = (-5, 2) Find the average…

A:

Q: What is the limiting value approached by the sales function?

A: Given: S = 300000(1-e-0.06t)

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.8% per year. That…

A: given: Between 2006 and 2016, the number of applications for patents N, grew by about 4.8 % per…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

A:

Q: cteria grow in a culture at a rate proportional to the amount present. Initially, 300 ands of the…

A:

Q: How can one determine the average rate of change of g(x) = mx+ b over the interval x1 SxSx, without…

A: The equation of a straight line is defined using the linear equation, y=mx+b, where m is the slope…

Q: 8. Use the difference quotient to find the approximate instantaneous rate of change for the function…

A:

Q: he quantity demanded weekly of a certain type of tire is related to its unit price by: p + x^2 =144…

A: The given demand equation is p+x2=144 where the price p is in dollars and x is measured in thousands…

Q: A company's marginal profit is given by m(x)=-2x + 300 dollars per item, where x is the number of…

A: The average of any function f(x) in the interval [a, b] is given by:

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

A: Topic :- Differentiation

Q: Choose whether the following statement is true or false. Average rate of change of a function…

A:

Q: Statistics complied by the local department of corrections indicate that x years from now the number…

A:

Q: y = ln (7x³ + 5)* 4

A:

Q: Find the average rate of change of the function between the given values of x. y = 6 + 5x + 0.5x2…

A: Given: y = 6 + 5x + 0.5x2 between x = 4 and x = 6

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.1% per year. That…

A: Solve the differential equation by variable separation method. Use the initial condition to…

Q: 6 on the interval [-3,3]| Find the average rate of change of g(x) = 4x3 x2 Deavia

A: The average rate of change of a function g(x) in the interval (a, b) is given by the expression…

Q: The amount of photosynthesis that takes place in a certain plant depends on the intensity of light x…

A:

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

A:

Q: If a ball is dropped from a height of 2304 feet, then its height in feet above the ground is given…

A: Given that, if a ball is dropped from a height of 2304 feet, then its height in feet above the…

Q: Find the average rate of change of f(x)= 2xsquared - 9 on the interval [5,b]. Your answer will be an…

A:

Q: A rectangle is expanding with time. The area of the rectangle is increasing at a rate of 12 cm2/min.…

A:

Q: f(x)%3D6x²- 3 on the interval [3, t|.

A: The given function is f(x)=6x2-3 on the interval [3,t].

Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

A: