change or 6x2-5x + 13, use one of the formulas from 2. Given that f (x) problem 1 to find the instantaneous rate of change of f at 2

Q: In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f '(x) = 6x + 2. (a)Find…

A: We have to given that f(x)=3x2+2x+11 and f'(x)=6x+2. It is known that rate of change is given as…

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

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

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Q: 3x - 2x+5 5. Find the instantaneous rate of change of f(x)= at x=-3 (Round to 4 decimal places).…

A: Solution:-

Q: A 13-ft ladder is leaning against a wall. If the top of the ladder is falling down along the wail at…

A: Given: The length of the ladder is 13 ft. The rate at which the ladder is sliding is, dxdt=-2 ft/sec

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

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

A: Given a function of amount of photosenthesis taken place in terms of intensity of light x as shown…

Q: 12. f(x)=5-2/5x  express it in the form f(x) =ax+b and state the rate of change of the function.

A: Given:  fx=5-25x To Find:  To express the given function into the form, fx=ax+b, and to state the…

Q: second derivative of  y=x(x-4)3

A: Given function is y = x(x – 4)^3. Differentiate with respect to x on both sides.

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: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

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Q: A model for the spread of an epidemic is that the rate of spread is proportional the number of…

A: Given: A model for the spread of an epidemic is that the rate of spread is proportional the number…

Q: 3. Suppose that the water level of a river is 50 feet and that it is receding at a rate of 0.75 foot…

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Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height…

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

Q: For the given function, find the instantaneous rate of change at x= 4 Y=(x^2-2) (x^2 -6x +6)

A: For this problem, we have find derivate of given function at one time. And later substitute value of…

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 the function f(x) = 9/- 2x - 5 on the interval [2,4]. Give the…

A: In general, an average rate a change function is a process that calculates the the amount of…

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

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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: The maximum rate of change of the function 1 f(x, y) = at the point (1, -2) happens in direction of…

A: I have find the direction and value of maximum rate of change of given function and say that given…

Q: Mr. dela Cruz encourages his students to solve math problems fast and with accuracy. He observed in…

A: Given: Mr. dela Cruz observed in his math class that the time it takes a student to solve x word…

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…

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Q: 3) Find the second derivative of 2x f(x) = for x + 0 3x2+4x Show all steps. Simplify your answer as…

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Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

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Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

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

A: Question- If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded…

Q: Find an equation of the line tangent to the graph of f(x) = (4x-3)(x+2) at (1,3). The equation of…

A: topic- equation of tangent line to the graph

Q: A particle is moving along the graph of the equation y = x* + 2x -5x - 85. If the abscissa is…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =…

A: Given: fx=x+2x-22=y To find the slope of tangent line at point (6,4) ,we need to find the value of…

Q: The approximate rate of change in height of a certain shrub in a nursery is given by f ' ( x ) = 13…

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

A: Given fuction

Q: Find the instantaneous rate of change for the function x2 + 8x at x =- 3. Select one:

A:

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

A: Topic :- Differentiation

Q: An average young person in the United States gains weight at the rate of 16(x - 10)-1/2 pounds per…

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Q: Find an equation of the line tangent to the graph of f(x) = (4x-7)(x+4) at (2,6). The equation of…

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

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Q: A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well thatís…

A: weight of bucket=3lb weight of water at starting=37lb deepness of the well =60 feet bucket lifts at…

Q: Estimate the instantaneous rate of change of P(x) 5x-3 at the point r = 2 Your answer should be…

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Q: The maximum rate of change of the function 1 f(x, y) = Select one: True O False - X - y at the point…

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Q: Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2…

A: average rate of change of cost between point [a,b] is given by

Q: In Example 6 in this section, we were given fx) = 3x? + 2x + 11 and found rx) = 6x + 2. (a) Find the…

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Q: A storage battery discharge at a rate which is proportional to the charge. If the charge is reduced…

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Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

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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: A culture contains 2000 bacteria initially and doubles every 40 minutes. Assuming that the rate of…

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Q: f(x)= 12x^3 -20x^4 Find the rate of change with respect to x

A: