Q5 (i) Find the rate of change of the function f(x) =x + 2 /1 − 8x with respect to x when x = 1. (ii) The number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by Q(K) = 500 K2/3.

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

A: Given a function, F(x) = x2 + 2 at x = 0 To Find the instantaneous rate of change for function at…

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A:

Q: The cost of producing x units of a certain commodity is c(x) = 1000 +5.70x +.7x2. What is the…

A:

Q: 2. The total cost, C (in thousand of dollars), of producing x (in hundred) units of some commodity…

A:

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

A:

Q: for #16

A: Average rate of change of a function f(x) over an interval [a, b] can be found using the formula…

Q: 5. Find the instantaneous rate of change of 1 g(x) = 2x – 32x° + 17x² – 9x + 4 at x = 2

A: Given equation is, gx=2x4-32x3+17x2-9x+4

Q: 13. a) Determine the average rate of change over the interval x = [1, 5] of the function y = 3x + 1.…

A: To solve the following

Q: Find the average rate of change of g(x) = 2x+ on the interval [-4,3] 2.

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: f(x)=x2+2 find average rate of change from -2 to 0 feom 1-3 and from -1 to 2

A:

Q: 6. The number of tree frogs on an island is growing at a rate proportional to the population. The…

A: topic - exponential function

Q: . The daily amount of smog produced by cars coming into a city is given by y = 2 + 0.01x3/2, where y…

A:

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

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 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: The length of the rectangle is decreasing at a rate of 5 centimeters per second, and its width is…

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

A:

Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

A:

Q: In a first order chemical reaction with no backorder reaction the concentration of the reactant is…

A: We solve for C(t)

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: 3. fox =V X at X T6

A:

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

A:

Q: 4. on the interval [-1,3] find the average rate of change of g(x) = 8x +

A: The given function is gx=8x2+4x2, on the interval [-1, 3]. Note that, the average rate of change is…

Q: A colony of fruit flies grows at a rate proportional to its size. At time t = 0, approximately 20…

A: Let the population of fruit flies be modelled by function y.  The question mentions that the rate is…

Q: The rate of change of the male population of a particular barangay is proportional to the male…

A:

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: One model for the way diseases die out when properly treated assumes that the rate dy/dt at which…

A:

Q: Let f(x) = 6x2 + 7x - 5. Then the average rate of change of f(x) from 0 to 18 is the same.as the…

A:

Q: 4 Find the average rate of change of g(x) 9x2 on x3 the interval [-2,2]

A: In this question we have to find the rate of change.

Q: A certain paper-cutting machine produces various sizes when increasing the length of a rectangular…

A:

Q: Pollution levels in a lake have been modeled by the equation x = 0.08 + 0.18e−0.35t where x is the…

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Q: F(x)=8x-2; X=2, x=3 How do I find the average rate of change and net rate

A: Given that F(x)=8x-2; X=2, x=3  To find the average rate of change and net rate

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

A:

Q: e average rate of change of the function from Function X-Values f(x) = -2x3 + 8x2 + x X1 = 1, x2 = 8

A: Given : fx = -2x3+8x2+x

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

A: Given fuction

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

A:

Q: The volume of a container is given by V = ar² ( h + 1) cm³ , where r(radius), h(height) are…

A:

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

A: Topic :- Differentiation

Q: Following the procedure on this page, find the instantaneous rate of change of the function f(x)=x^3…

A:

Q: Two substances, A and B, are being converted into a single compound C. In the laboratory it has been…

A:

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

A:

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: ズ-1 f(x) = X + 3

A: given: f(x)=(x-1)/(x+3) x=4 delta(x)=8

Q: Q2/ A tank contains initially (150) liter of brine in which (60)N of salt is dissolved starting at…

A: The amount of salt in the tank at the end of 5 min is 111.38779 N

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: The instantaneous rate of change for the function Y=x^2+2x,  at x= 3

A: The rate of change of any function is given by dydx  at any point x=x0 ,that is derivative of 'y'…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.