13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the remainder from f(x) (x- 2). Determine the value of k. %3D

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 length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

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A: To find the foraging time

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A:

Q: Find the number of units x that produces a maximum revenue R. R = 171x2 – 0.06x3 X = units

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Q: Please I want solution of question 4 with step by step. Many Thanks

A:

Q: Use the models f(x) = 0.074x + 2.294 and g(x) = 2.577(1.017)x to solve. a. World population in 1970…

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A:

Q: 2.3 - Can you show the steps to solving this problem? Differentiate the function. 12) y = x^(5/3) -…

A: We have to use the exponent rule.

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

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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&lt;54x+2c      for x≥5 we have to find the value of c…

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

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A:

Q: f the profit function for a product is  P(x) = 6400x + 80x2 − x3 − 220,000  dollars, selling how…

A: The profit function is: P(x)=6400x+80x2−x3−220000

Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

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

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Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

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Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

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A: We will find what (e-l) (4) means in this situation as following.

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Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

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A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

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A: Compare the given cost function with the general quadratic function as follows.

Q: 5. Find all relative maxima of the given function. y =x* -8x' +16x² +3

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Q: 2) A medicine company has a total profit function P(x) = 592X2 + 0592X + 20, where x is the number…

A: Given:         Px=-592x2+0592x+20   where x is the number of items produced. differentiating with…

Q: For what value of X does the function f(x) = x³ – 9x² – 120x+6 have a relative minimum? (A) 10 (в) 4

A: solution is given below .

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

A:

Q: 1) g(x) = 2x + 8

A: given function g(x)=2x+8 on diffrentiating this function we get

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: 2) Sketch the graph of the floor function f(x) = x+31 over the interval [-4,2].

A:

Q: Given f(x) = 2x – 39x2 + 216x + 3, answer the following: a) The point where the relative minimum…

A: Given,          fx=2x3-39x2+216x+3

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $75 −…

A: The price per unit of a cell phone is modeled by the following expression p = 75-0.0125x Where, x is…

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

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Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

A:

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: 13) Given f(x) = 7x² – 4x – 2, without graphing, determine whether it has a maximum value or minimum…

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Q: Find the maximum value of the function (x1 + 4.x2)² f(#1, x2) = by expressing f (x1, x2) as the…

A:

Q: 2. If f(x) = |x|- 2 is translated -5 units horizontally and +3 units vertically, what would be the…

A: The function is given by fx = x-2 To evaluate: The new equation obtained when the function fx is…

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A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: 4) Is y = -3x² + 12, x 20 a one-to-one function? Why or why not?

A: For one -one function F(x1)=F(x2) then x1=x2

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A: We have given a function g(x).  We have to find the interval where g is concave up and decreasing at…

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

A:

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,