A subpopulation of plant, isolated from the main population, is found to obey the function below, describing the number of individuals. 175 – 50t + 15e2 N(t) : 3e2t + 40t + 50 What is the ultimate fate of this subpopulation of plants? Justify your claim with the appropriate mathematics.

Q: 4. What function is y = x3 + 2r + 1? * O A. Linear Function O B. Polynomial Function C. Quadratic…

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A: Comparing this equation with

Q: Find the absolute maximum and absolute minimum of the function f(2) = a2 – 8x + 7 over [1, 8].

A:

Q: I have this function: f(x) = (x + 5)/(x^3 − 9x) I think I am told the domain is {+-3,0} But why does…

A: The domain that you are told is wrong, and definitely domain will also include -5, please take a…

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A: The area, A, in square feet, of the base of a rectangular storage bin in a warehouse, is given by…

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A: Given, The function f(x) is defined as: fx=-16x2+55x+19 The quadratic function g(x) values are shown…

Q: Consider the function graphed at right. What are the X-intercepts of the function? Jo 9 8 76 5 What…

A: To find the x-intercept of the graph

Q: 19) What is the domain of the function f(r) - +2? 2n=1 n3"

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Q: function

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Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) = {V1-x2 ,-1<x<1 x21

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1.Determine the function   f(x)=3(x-4)2+5    in the standard form and state the y-intercept.…

A: The standard form of quadratic equation is f(x)=a(x-h)2+k where (h,k) are the vertices. So the given…

Q: The function f(æ) = 2x³ – 27x? + 48x – 7 has two critical numbers. The smaller one equals and The…

A:

Q: 9. What is the domain of the function f(x) = Vx- 3? | A. (3, 0) B. (-00, 3] С. [3, о) D. (-00, 3)

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is qiven…

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Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) ={V1-x2 ,-1<x<1 x21

A:

Q: A company determines that the number of units of a certain product that will be sold is given by the…

A: Find your answer below

Q: What is the absolute maximum value of the function f(x) = x³ – 3x2 on the interval (-2, 3] ? %3D a.…

A: topic- extrema of function

Q: Which value of X is not in the domain of the function G(x)=26/15x-29" I am a little confused by the…

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Q: 7. Find the natural domain of the function f(x) = V4– 3x .

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Q: A plant is already 13.50 meters tall, and it will grow 10 centimeters every month. The plant's…

A: The given information is    The plant is already 13.50meters tall and it will grow 10cm every…

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A:

Q: 14. The range of the function f(x) = 3x² - 2x+8 is {13,29}. What is the function's domain? a. {1,-2}…

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Q: The profit from producing n quilts per year is given by the function P(n) = -15n² + 240n – 585,…

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Q: What is the upper bound of the function? f(x) = 4x4 - 25x² - 5x - 13 Enter your answer in the box.…

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Q: 7. Determine whether f(x) = -2r? + 12x + 3 has a maximum or minimum value. Then find the maximum or…

A: Given,         f(x)=-2x2+12x+3

Q: Determine the maximum value of f(x)=-x²+2x²+2 on -2 ≤x≤ 3. a) 3.185 b) -7 Od 2 d) 18 2

A: To find the maximum value of the function.

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A: To Determine: for the graph of the following a) use completing the square to find the axis of…

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

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Q: The domain of the function f(x)= sech-1(21 - ) is [380, A), Then The value of k = The value of A =

A: Given function is f(x)=sech-121-xk Since sech-1x=ln1+1-x2x here, 1+1-x2x≥1 ⇒ either x≥0or x≤1

Q: 3. A rocket carrying fireworks is launched from a hill 80 feet above a lake. The rocket will fall…

A: a). The height of the rocket is given by : h(t) = -16t2 +64t +80

Q: | B3(b): Apply Rolle's theorem for the function f(x) = x² + 4x over the interval -4, 0]. Justify…

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Q: 24) Elissa wants to set up a rectangular dog run in her backvard, She has 36 teet of tencing to work…

A:

Q: The functionh is defined as follows. x²-4x-32 h (x) = 2-4 Find h (-3). Simplify your answer as much…

A: Answer is -2.2 Explanation is given below

Q: 34. Describe the end behaviour of the function g (x) = -3x + 2x* – 7x³ + 6x² + 2x – 5. %3D

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Why f(x) = - is not a polynomial function? %3D M 2х

A: In a polynomial function, exponent of the variable should not be fraction, radical or negative.

Q: For this exercise, you will demonstrate the tests to show that y= -19x +7x + 9x is neither an even…

A:

Q: The function h(z)= -16z² + 144 represents the height, h(x), in feet, of an object from the ground at…

A: h(x)=-16x2+144 x= time in seconds after drop h is height from the ground

Q: 3 3 Z =6x,. X2 + X, + Xg + l06 find the endpoints of the function

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Q: 3s*–12s²+12 255

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Q: a² – 4a + 4 Find the function value. Let f(x) = 6x + 5 and g(a) = g(-4)

A: see below the solution

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x +…

A: As per Bartleby guidelines rule I am answering only top 3 questions.

Q: The total revenue for Dante's Villas is given as the function R(x) = 300x – 0.5x?, where x is the…

A:

Q: The function f(x)=-4x3-30x2+72x-6  is increasing on the interval ( ?, ?) It is decreasing on the…

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Q: The function f(c) = -6x3 + 36x2 + 378x - 6 is increasing on which interval? it is decreasing on…

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Q: 54. During a flu outbreak in a school of 763 children, the number of infected children, I, was…

A: As two questions are given, I will solve only the first one : We are given :I=192 lnS762-S+763…

Q: a) Expand the function f(x) = –3 (x + 5) (x – 4) (x – 5) f(x) = b) What are the zeros of the…

A: Topic = Functions

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A:

Q: Consider the function. x2 – 25 f(x) x3 + 2x2 – 25x – 50 For what real values does y = f(x) have a…

A: Here we need to find the vertical asymptote of given function.  The solution is following.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.