The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of change of the number of bachelor's degrees ( in thousands ) can be approximated by the following function where t is the number of years since 1970.  B ' ( t ) = 0.0603 t2 - 1.713 t + 15.66 Given that about 885,600 new degrees were conferred in 1970       ( t = 0 ), project the number of bachelor's degrees that will be conferred in 2017.

Q: Find the instantaneous rate of change of each function at the given x-value.

A: Part a,Given,           fx=2x2+3x-4 at x=-3

Q: With the given graph, estimate the instantaneous rate of change at x= -1 and show the steps. Next,…

A:

Q: What is the average rate of change of the function f(x): = x² between x = -3 and x = 3?

A:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: The given function of production cost is To find average rate of change of total cost ,use formula

Q: The air in a room with volume 180 m3 contains 0.15% carbondioxide initially. Fresher air with only…

A:

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x + 4x at x= - 4…

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: As population is proportional to present population. So we need to form a differential equation. and…

Q: Why is the derivative of a constant function zero?

A: Consider the constant function fx=k. Apply the derivative definition as follows.

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: please see the attachment

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 5(x – 2) - 3 ?

A:

Q: A bicyclist is riding on a path modeled by the function f(x)=0.04(8x-x^2) , where x and f(x) are…

A: Given path functionfx=0.048x-x2

Q: If the instantaneous rate of change of ƒ1x2 with respect to x ispositive when x = 1, is ƒ increasing…

A: As instantaneous rate of change  of f(x) that is f'(x) is positive means the function f(x) is…

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given,         The total cost in dollars from the production of x printers is given by…

Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: The rate at which the risk of Down syndrome is changing is approximated by the function r(x) =…

A:

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: Given that: Rate of increase of population is proportional to the number of people in the country.At…

Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: A bacteria colony grows at a rate of 11% per year. If the initial sample has a mass of 500 grams,…

A: We are given that the grow after each year is 11%, that means if the initial value is x, then the…

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Suppose total cost in dollar from the production of x printers is given byC(x) =…

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: Given query is to find the rate of change of cost.

Q: The size of a population of butterflies is given by the function. p(t)= 6000/(1+49(0.6)t) where t…

A:

Q: Find the instantaneous rate of change for each function at the given value: F(x)= x2 + 2 at x = 0

A: Given: F(x)= x2 + 2 at x = 0

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: From the given data:

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: The net worth, ƒ (t), of a company is growing at a rate of f' (t) 1000 – 6t2 in dollars per year…

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: (a) N'(t)=0.041N(t)dNdt=0.041NdNN=0.041dt∫dNN=∫0.041dtln N=0.041t+celn…

Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

Q: currently 49 workers, find the instantaneous rate of change of monthly output with respect to the…

A: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60)  , where x…

Q: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

A: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…

Q: Find the instantaneous rate of change for each function at the given value: . ƒ(x) = x2 + 2x at x =…

A: we have to find the instantaneous rate of change of a given function   given function is ƒ(x) = x2…

Q: A group of survivors on a supply run has returned to their base camp with a population of 2000. Two…

A: Given:  y       = present number of infected people 2000 = total population  y'(t)  = rate of spread…

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: Determine the instantaneous rate of change of the function f(x) x4 at the point where x = -2.

A: instantaneous rate of change of a function is differentiation of function at that point

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A:

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: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: Given:The time it takes an average athlete to swim 100 meters freestyle at age x years can be…

Q: What is the average rate of change of f(x)=log2x from 8 to 32. what is the equation of the seant…

A:

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x…

A: Given that the monthly output is Qx=15,000+2x2 units, where x is the number of workers. Find Q'52.

Q: If f(x) = 12x2 − x3, what is the rate of change of f '(x) at  (−1, 13)?

A:

Q: Let g(x)=7arctan(5x). What is the instantaneous rate of change of g(x) when x=2?

A: g(x)=7arctan(5x) to find rate differentiate g(x) with respect to x

Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: .

Q: A team of biologists stocked a lake with 100 fish of one species to conduct an experiment. They…

A: Given that initial number of fish is 100 and rate of increase of population of fish is directly…

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: What is the average rate of change of f between x=3 and x=10

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Exponential Growth Model

The relation that represents an exponential function is: