Question 5 During a pandemic the increase rate of the number of deaths R, in number of deaths per number of infections, is represented by the function (I) with I the number of infected residents of the community. Let R = ) = 250 - 1, with domain (0, 920]. Given R dl = 250 In(fr) – I + 920 and dR - -250 IP 5.1 How many people from the community will die from the pandemic if the number of infections increases from 50 to 300? 5.2 Is the increase rate increasing or decreasing? Explain your answer.

Q: Question 14 4. If f (x)= ,then f '(x) equals (1+3x)5 60 A (1+3x) 25 60 (1+3x) 10 - 60 (1+3x) 10 - 60…

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Q: calculate following values:   f(-2) =  f(1) =  f(2) =

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Q: Question 2 Given f' (x) = e". (x² + 5x + 6), and f" (x) = e" · (x² + 7x + 11), ƒ (x) is O increasing…

A: Problem is related to interval when function is increasing and decreasing......

Q: QUESTION 4 The derivative of the function f(x) = a' +5 a2 +4 - 4 at a = 0 is 36 -3 O 4 O 129 O 17 61…

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Q: QUESTION 10 10. Given f(x) = = (x+5)(x-3) x²+2x-1 -, simplify f(y-1).

A: Simplify for f(y-1).

Q: Question#4: A box with an open top is to be constructed from a rectangular piece of cardboard with…

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Q: Question 18 Find the critical number(s) of the function. y- 3x +30x Select all that apply. 30 0. 3.…

A: We are authorized to solve only 1 question, please repost remaining questions Critical number

Q: Question 15 Given the function f(x) =4x- 39x2+90x +2 which of the following describes its absolute…

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Q: Question 5 The following function is homogenous of degree what? Vx?y²+x²+y² f(x,y) = х, у ху 1 3 4…

A: We have to find the degree of function.

Q: Question 1) Find the absolute maximum and minimum of the function f f (x, y) = yx² where - 2<x< 2 -…

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Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: Question 2: Identify the co-ordinates of any local and absolute extreme points and inflection points…

A: Given function is  Y=4x3+21x2+36x-20find local and absolute extreme points and inflection points for…

Q: QUESTION 3 Provide the slope of the line tangent to f-(x) at the point (-2,1) where f(x)= x5 +2x³ -…

A: slope of tangent line on  f-1 (x) is the derivative of f-1 (x) at the given point .

Q: Question 8 The function g(L) = 600L23 represents the number of units produced in L working hours.…

A: We will find out the required value.

Q: Question 12 Find the local extreme values of the function f (x, y) = x² + y² – xy 8 -8 O 4

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Q: Question 14 Given the functionf(x)= 4 determine the interval/s at which f(x) is continuous. x+1…

A: f(x)=4x+1Note :If multiple question are given we have to answer only one question .if you want other…

Q: Question 7 of 9, Step 1 of 1 Correct Find (f• g)(4) for the following functions. f(x) = 3x + 3 and…

A: We have to find

Q: Question 8 Describe the long run behavior of f(x) = (x- 4)(x + 3)°(x – 1)²: | As x - o, f(x) → As x…

A: Solution

Q: Question 17 Let f(x) = 4x2 + 4x – 2, x < –1. Find a formula for f-1(y).

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Q: Question 9 Ay f (x) =< ; Estimate f (-2) %3D 8-6 4 O -1 -2 O None of these 2]

A: The graph of the function crosses the x-axis when x=-2. Then, the value of the function at x=-2 is…

Q: QUESTION 9 The function f(x)-x2-1, ,is increas OA (-0,-2)U (0

A: We have to  choose the correct answer

Q: Question 4 Consider the function f(x) = -5x – 11x + x? +2x 3 2 smallest number n such that f(n) (x)…

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Q: Question 1 (a) A biologist who is studying the growth of a bacteria culture, recorded the following…

A: I will solve the first three sub-parts for you as per the company policy. If you want any more…

Q: Question 2 Given the function k with k'(x) - and b a real number such that b > 0. If the domain of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question 8 The following function is homogenous of degree what? f(x, y) = Vx²y² + y +x 1 other/not…

A:

Q: his Question: 1 pt Suppose that the price p, in dollars, and the number of sales, x, of a certain…

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Q: Question 6 The following function is homogenous of degree what? Vx++x²+y? x+y other/not possible 2 4…

A: For the detailed solution of the problem follow the next step.

Q: • Question 5 Given the function ( 4x -6 4x - 12 0 f(1) = Calculate the following values: f(- 1) =…

A: our objective is to find f(-1) , f(0), f(2).

Q: Question 24 The function f (x) = 2x² – 8x + 4 is increasing on the interval ... A [2, ∞ ) B (- ∞ ,0]…

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Q: Question #2 The function h(t)=-16r + 17t+6 can be used to determine the height, h(t), in feet, of a…

A: We have to find the time at which height was 2.25 feet above the ground. This problem has to be…

Q: QUESTION 22 Evaluate the function for the given values of x. 4x + 2, for x< -1 f(x) = + 4, for -1 s…

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Q: QUESTION 8 Determine where the given function is increasing and where it is decreasing. f(x) = x 2 +…

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Q: The population of a certain country (in millions) at time t (in years) is P(t) - 2.4, where t-0 is…

A: The growth of a population is usually defined using the model, A(t)=A0ekt , where, A0 is the…

Q: QUESTION 3 Find all positive numbers b such that the average value of the function g(x) = 80 + 5 x -…

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Q: Question 9 If f'(x) <0 for 1 <x < 6, then f is decreasing on the interval (1,6). True O False «…

A: We have to check

Q: Question 10 of 11 A car travels along the highway to Yuma at a steady speed. When it begins, it is…

A: When x= 0 , y= 400  When x= 7 , y= 50

Q: QUESTION 8 The function fix)--4 x-12 x+L, is increasing on the interval OA (-0,-2)U (0,2) OB. (-1,0)…

A: The derivative of a function may be used to determine whether the function is increasing on any…

Q: Question 8 Suppose f: [a , b] → R is a function with no absolute maximum on [a , b] Which of the…

A: Given that: f:[a, b]→R is a function with no absolute maximum on [a, b].

Q: Question 4 Consider :(-x, 2] → R, where f(x)=(x– 2)² +1. a. Define the function " x = 1,x = 5-V5 „*…

A: Since you have posted the different questions of parts. I am answering the first one. Please post…

Q: Question 5: For each year t, the population of a forest of trees is represented by the function A(t)…

A: Given the population of a forest tree is represented by the function At=1151.025t. In another…

Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

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Q: Question 5 For what value of a is the function t-1, - 10<t<3 f (x) = t²+ 10t, 3<t<10 continuous? O…

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Q: Question 4 The relative rate of change of a function f is given by the ratio The relative rate of…

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Q: Question 3. Find the absolute maximum and absolute minimum of the function f(x) = 3.x2/3 – x on the…

A: To find the absolute maxima and absolute minima of the following function  f(x) = 3x2/3 - x  in…

Q: Question 4 Consider the function k with domain R, k"(t) = A(e - 4e) and A negative and real. Show…

A: Given that:k''(t)=A(e-t-4e-2t)

Q: Question 5 Find the critical numbers of the function, g(t) = tv4 – t where t < 3.

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Q: Question 10 What is true about the function ) - A))→0 from above B) Ax) →∞ OC)) →0 from below D) x)…

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Q: > Question 2 of 16 Find the rate of change of the reciprocal function f(x) = - with respect to x…

A: Recall the following fact.

Q: Question 7 Find all points of discontinuity of the function: f (z)= 324 (A) -2,-2i (C) -2+2i z4-16…

A: The function is given by fz = 3z2+4z4-16 To evaluate : The point of discontinuity.

Q: Question 10 Find all the points of local maxima and local minima of the function f (x) = (x – 1)³ (x…

A: