Q5 Find the instantaneous rate of change at 2 for: f(x) = 6x2-9x -6

Q: The time rate of change of an alligator population P in a swamp is proportional to the square of P.…

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Q: Find the rate of change of the fucntion f(t)=4t^2-5t-3,[x,x+h

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Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

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

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Q: When the price of a certain commodity isp dollars per unit, customers demand x hundred units of the…

A: Given: x2+3px+p2=79 dpdt=-0.3$/month p=$5

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

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

Q: An accessories company finds that the​ cost, in​ dollars, of producing x belts is given by…

A: The​ cost, in​ dollars, of producing x belts is given by c(x) = 730 + 36x - 0.064x2

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

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Q: A police car traveling south toward Sioux Falls, Iowa, at 160km/h pursues a truck traveling east…

A: Given that a police car is travelling south toward Sioux falls at 160km/hour and  a truck is…

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given volume function fx=x3 to find instantaneous rate of change of the volume x=4 in

Q: If ,f(x) = 19x2 − x3, what is the rate of change of f '(x) at (2, 68)?

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 780…

A: Given :  Cost function :  C ( x ) = 780 + 35 x - 0.063x2  Find the rate at which average cost is…

Q: 3x+5 For y = find the instantaneous rate of change when x=2 X-3

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Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = -9t2 + 900.…

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Q: Find the average rate of change of f(x) = - 3x2 + 5 from 3to 7

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Q: If f(x) = 3x + 2x + 6, find the instantaneous rate of change of f(x) at x = 1. -

A: Topic - applications of derivativea Instantaneous Rate of change of f(x) at x is given by slope of…

Q: What is the rate of change of the function y = - 2x – 1?

A: The rate of change

Q: If f(x)=9x+6, find the instantaneous rate of change of f(x) at x=-5

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Q: What is the instantaneous rate of change of f(x) = 3x + 5 at xo 1?

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Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given: fx=x3,  x=5 inches

Q: For function f(x) = 2" , state a) the average rate of change from x =1 to x=5 b) the instantaneous…

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Q: If f(x) = 12x2 - x', what is the rate of change of f'(x) at (2, 40)? %3D Need Help? Watch It

A: Rate of change of f'(x)

Q: f (x) = 2x² – 3x + 2 Find the instantaneous rate of change at x = 2

A: The instantaneous rate of change of a function is given by the first derivative of the function. The…

Q: If y = 42x2 – 7x³ + x, what is the rate of change of y' at (1, 36)? Need Help? Read It

A: Rate of change of the function

Q: Given the function fx) = 2x² + 3x + 1, Find the instantaneous rate of change when x = 1. Find the…

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Q: Given the function g(x) = -a² +5x +14, determine the average rate of change of the function over the…

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

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Q: Find the instantaneous rate of change for the function at the given value. f(x)=x2+4x at x=-4

A: The instantaneous rate of change of a function at a point can be evaluated first by finding the…

Q: Find the derivative (3t - 4) ^8 divided by t + 9

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Q: Q 4 Find the average rate of change between 5 and 0 for: f(x) = 6x2 -9x - 6

A: Obtain the average rate of change of function as follows:

Q: 7. If f (t) = -t + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=…

A: Rate of the average cost of change = (change in output)/(change in input) = dy/dx…

Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, %D in dollars. Find the rate at which…

A: Differentiate the cost function to calculate the rate of change of cost.

Q: Let the height of an object bef(t)=t2+2t−4f(t)=t2+2t−4. What is the instantaneous rate of change of…

A: Given query is to find instantaneous rate of change of the object at t = 2.

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

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Q: If a person's temperature after x hours of strenuous exercise is T(x) = x³ (7- x²) + 98.6 degrees…

A: We have to calculate the rate of change after 1 hours

Q: Find the average rate of change of f(x) = 3x2 - 2, from 2 to 4.

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Q: If f(x) = - 3x + 6x + 3, find the instantaneous rate of change of f(x) at x = 0. Answer =

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Q: Find the instantaneous rate of change for the function: f (x)= 4x = 2x²- 5

A: The instantaneous rate of change of function will be find by differentiate the function with respect…

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 at the Olek Carpet Mill is

Q: S(x) = 3r2 - 5r + 10 %3D What is the rate of change as x goes from r=2 to r = 4? SUBMIT

A: Given: f(x)=3x2-5x+10 a=2 b=4

Q: Find the average rate of change of f(x) = 9x2 – 8 on the interval [2, t]. Your answer will be an…

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Q: Find the average rate of change of f(x)=4x^2-2 from 2 to 4 

A: For the function f(x) the rate of change in a closed interval a to b is given (f(b)-f(a))/b-a Here,…

Q: Find the average rate of change of f(x) = 6x? - 2 on the interval (3, a].

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Q: b) Find and simplify the derivative of the function below: y = x°(3x² + 1)*

A: Use the chain rule and power rule of derivative and simplify the result.

Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over…

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

Q: For the function y = 5x3- 4x a. Determine the average rate of change between x1 = 3 and x2 = 5.  b.…

A: given function y=fx=5x3-4x

Q: As y increases by 10,x Jncreases by 5. Which equation represents this rate of change? (7.1B, 7.1D,…

A: Rate of change = change in y /change in x

Q: Calculate the instantaneous rate of change for the function f(x)=2/3x+5 when x=-7

A: The function is f(x) = 2/(3x + 5). We have to calculate the instantaneous rate of change for this…