The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) = 28x – 0.010x2 0

Q: he marginal cost (rate of change of cost) in euros per unit of production for artilugios in a ertain…

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Q: 4x2-x average rate of change of f (x) = over the interval [1,6]

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Q: 1. Use the Difference Quotient to find the instantaneous rate of change of 2. f(x) = -5x2 - x at x…

A: We have to find the instantaneous rate of change using difference quotient we have  f(x)=-5x2-xat…

Q: The marginal revenue of a company is given by R'(x) = 100 + 20x + 3x², where x is amount of units…

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Q: By choosing small values for h, estimate the instantaneous rate of change of the function f(x) = x³…

A: Use the diffrention formula then simplify

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: 4.) The cost in pesos of producing x units of a certain commodity is C(x) = 0.05x? + 10x + 5000.…

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Q: Find the average rate of change of the function from x1 to x2 : f(x) = 3x from x1 = 0 to x2 = 5.

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Q: find the average rate of change for f(x)= x^2-8x+15 from 0to x=4

A: As we know that the average rate of change of f(x) over an interval between 2 points (a,f(a)) and…

Q: x + x dx x2

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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: 3 Find the average rate of change of g(x) = 3x' – 4 from x = - 1 to x = 3

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Q: Find the average rate of change of g(x)=x3-2x+1 (a) From -3to-2 (b) From -1 to 1 (c) From 1 to 3

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Q: Find the average rate of change of g(x) = x3 - 2x + 1:(a) From - 3 to - 2(b) From - 1 to 1(c) From 1…

A: We have been given the function  g(x) = x3 - 2x + 1 We have to find the average rate of change of…

Q: Find the average rate of change of the function over the given interval. Compare this average rate…

A: Given function is fx=-1x. To find the average rate of change of the function over the given interval…

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: If the total revenue function for a blender is R(x) = 41x – 0.01x² where x is the number of units…

A: Given that, the revenue R (in dollars) for a blender is given by  R(x) = 41x - 0.01x2 where x is the…

Q: snip

A: Given: fx=3x-5 To Find: The average rate of change of the given function from x=0 to x=4

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x+3x at x= - 1 The…

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Q: find the average rate of change for the function over the interval y=x^2+3x between x=3 and x=8

A: Given: the function

Q: Find the average rate of change of f(x) = 2x− 2x+ 1 from x= −1 to x = 4.

A: The average rate of change from x=-1 to x=4

Q: Find the average rate of change of the function from x1 to x2  f(x)=6x where x1 =0 to x2 =4

A: fx=6x Now, f0=60=0 & f4=64=24

Q: The population of a colony of bacteria is modeled by the function P(x) = 50(e-X -e-X* ) + 10, for 0…

A: Given that: P(x)=50(e-x-e-x2)+10

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: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5/9x² –…

A:

Q: 1. For function f (x) = 0.5*, state a) the average rate of change from x = -1 to x = 1 b) the…

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Q: If the average rate of change of a function between x = a and x = b is negative, then is the…

A: The rate of change of function between two points of a curve represents the slope of the curve.   If…

Q: Find the average rate of change of f(x) = x2 − 25x + 26 over the interval  [10, 50]

A: Given fx =x2-25x+26   find average rate of change of fx over10,50   The average rate of change of…

Q: The revenue (in dollars) from the sale of x units of a certain product can be described by R(x) =…

A: R(x) = 100x - 0.09x² So, R'(x) = 100 - 0.09(2x) = 100 - 0.18x &, R''(x) = 0 - 0.18 = - 0.18

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: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

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: If the total revenue function for a blender is R(x) = 52x − 0.01x2 where x is the number of units…

A: We have the total revenue function R(x) = 52x − 0.01x2.

Q: Find the instantaneous rate of change for the function at the given value. f(x)=x + 2x at x= 0 The…

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Q: The rate of U.S. per capita sales of bottled water for the period 2000-2010 can be approximated by…

A:

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

A: Topic :- Differentiation

Q: 1.A culture has y,number of bacteria. At time t=2 hours, the number of bacteria is measured to be…

A: Given, Initial number of bacteria is y0. also, given at time t=2 hours, the number of bacteria is…

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

A: Given that:   The rate at which the risk of down syndrome is changing is approximated by the…

Q: Suppose that f(x) = 3x² – 3. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the…

A: We find f'(x) using the power rule Slope of the line tangent to f(x) at x=5 is given by f'(5) So to…

Q: The rate of increase in the number N of bacteria in a certain culture is given by dN = 0.15N where t…

A:

Q: Suppose that the yield (measured in kg/ ha) of an agricultural crop is represented by the function…

A: We need to find rate.

Q: Find average rate of change for the function over the given interval. y = x2 + 4x between x = 2 and…

A:

Q: A radioactive element decays according to the function Q= Qn e", where Q, is the amount of the…

A: Given that a radioactive element decays according to the function Q=Q0ert, where Q0is the amount of…

Q: Find the instantaneous rate of change for the function at the given value f(x) =x +2x at x= 0 The…

A:

Q: The cost in pesos of producing x units of a certain commodity is C(x) = 0.05x2 + 10x + 5000. What is…

A:

Q: Find the average rate of change of the function from x = 1 to x = 7. f(x) = 10x + x Additional…

A: Given that  f(x)=10x^2+x  x from 1 to 7  To find the average rate of change of function

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: A radioactive element decays according to the function Q = Q, et, where Q, is the amount of the…

A: Given:     Q=Q0ert   where Q0 is the amount of substance at t = 0.       r=-0.00027  Q is the amount…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.