Find the absolute maxim f(x) = 8x²/3 %3!

Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

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Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: Find the critical points and determine whether they are minima, maxima, or neither. f(x) = x 3 - 4x…

A: We have to find the critical points and we have to determine whether they are minima, maxima, or…

Q: s rate of change of the function at the given x-value. f(x) = 3x2 + x − 3 at x = 1

A: Given: fx=3x2+x-3 To find rate of change of f(x) at x=1

Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

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Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation…

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Q: Experimentally, the number of bacteria in cultivation duplicates for each hour. If there are 1000…

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Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: Solve by making differential equation

Q: An efficiency study of the morning shift at a factory indicates that an average worker arriving on…

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Q: A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting…

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Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x<54x+2c      for x≥5 we have to find the value of c…

Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: A firm’s short-run production function is given by Q = 30L2− 0.5L3 Find the value of L which…

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4

Q: 1. Given the function f(x) = Vx5 – 3Vx², find the interval(s) of increase.

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Q: Find the value(s) of a for wh has range of all real numbers.

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Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

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Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: find the critical points and determine whether they are minima, maxima, or neither f (x) = x3 − 4x2…

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Q: Find the absolute extreme values of the function on the interval. 3) f(x) = In (-x), -5 s x s -1

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Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the critical points of the function f(x)=8x3−x4.

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Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2(x +…

A: Given f(x)=x2(x+2)3 differentiate the function to find the critical points.…

Q: Find the domain of the function: f(x) = ln(3 - x)

A: The Domain of a function Includes all values of x for which the function is defined. We know that a…

Q: write down the solution parameters of this graph. what is the: -scale factor -starting x value…

A: Given graph: There is no Linear 2 and Exponential 2 graph. To find: Scale factor Starting x-value…

Q: Find the relative extrema for f(x) = x* + 32a²

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Q: Find the values of p where demand is elastic. x = 324 — 2р

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Q: By using (fixed point itration), Find a solution for f(x) = x3 + x - 1 = 0

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

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Q: at the one-dimensional and n are constants.

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Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: Determine the value of k so that the rate of change of the function f (x) = 4x² + kx – 7 is 7 when…

A: Answer

Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of…

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Q: fla)= 9 (x=4)° +2 +2

A: Given fx=9x-42+2.

Q: Find all critical points for the function f(x) = x³ – 3x2 +5.

A: To find the critical point of the function             f(x) = x³ -3x² +5 For critical point we want…

Q: Find the absolute maximum value of the function. f(x) = 2(x – e*)

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Q: If the average cost per unit C(x) to produce x units of plywood is given by C(x) = 300/x+10 , what…

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Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75