Suppose a flu epidemic has broken out at your school. Assume that on Feb 10, a total of 20 people have the flu and that each day the number of people who have the flu triples. Let f(t) represent the total number of people who have gotten the flu by the day that is t days since Feb 10. Find the equation of f

Q: .Suppose that for a certain disease the cumulative number of deaths is given by 7.8 C(t) = ,…

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

A: given,                If a person's temperature after x hours of strenuous…

Q: find a general formula for f (n)(x). f (x) = x−3/2

A: Given, f (x) = x−3/2 To evaluate, fn(x)

Q: Suppose that f(x) dx = 5. Calculate (4f(x) + 3) dæ-

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Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: We will find the limit  x→∞ of the ratio of the two functions.

Q: If F(t) = t2/120 ; 0≤t≤8 years, the average failure rate will equal to:

A: The rate of failure for the survivors to the next instant of the time is defined as the failure rate…

Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

A:

Q: Suppose f(x)=6x2+9x−14f. Write an expression in terms of x and h that represents the average rate of…

A: fx=6x2+9x-14

Q: Describe the long run behavior of f(t) = (t – 1)(t + 3)°(t – 5) As t → - 00, f(t) – 00 As t + o,…

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Q: Suppose f(x)=6x2+9x−13. Write an expression in terms of x and h that represents the average rate of…

A: Average rate of change is ratio of change in function values and time interval.

Q: Solve f(t) =t° + 4f(7)dt 3

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Q: If f(x) = In( 1 + e4x), find f '(0). f '(0) =

A: The objective is to find f'(0).

Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: Find a general formula for f("(x) if f(x) = 11x²e*. pln)(x) %D

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Q: If f(x) = In( 3 + e4x ), find f '(0). f '(0) =

A:

Q: Let f(x)= 2x ; 0<x<1. Find E(3X+5)

A: Given, f(x)=2x   ;0&lt;X&lt;1

Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

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Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: Suppose that a vending machine service company models its income by assuming that money flows…

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Q: find a formula for f^(n) if f(x)=x^2e^x

A: We find derivatives of f(x) using product rule.

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: Suppose f(x)=5x2+8x−16. Write an expression in terms of x and h that represents the average rate of…

A: Average rate of change is ratio of change in value of f(x) and change in x.

Q: The time t, in minutes, between successive arrivals at an emergency room of a certain city hospital…

A: Given information: Given that the time t in minutes between successive arrivals at an emergency room…

Q: Suppose f(x)=6x2+9x−12. Write an expression in terms of x and h that represents the average rate of…

A: The average rate of change is given by: f(x+h)-f(x)h

Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

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Q: Find the function f(x) by solving the initial value p 3. 3x2 f'(x) = -(1, 1) 4

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

Q: Suppose f(x) represents the cost, in dollars, of producing x tons of coal and g(t) represents the…

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Q: 3. If f'(x)= 3x² 2 and f(1) = 4, find f(e).

A: To find f(x) from f'(x) we integrate it C=integrating constant

Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: Find f by solving the initial-value problem. f'(x) f(9) = 45

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Q: For each year, the population of a forest of trees is represented by A(t)=115(1.025)t.   In a…

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Q: Find f(4) if f(t)dt = x2 - 2x +1 Note: Write your answer only as an integer. Your answer cannot…

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Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: Find f by solving the initial-value problem. f '(x) =8/(x1/2), f(9) = 51

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Q: course repeater claims that his brother who did some Calculus at college years ago, but currently on…

A: Given: fx=2x2-1x2+3x2+1 gx=x2+872-3x25 The objective is to check given first order derivative of…

Q: t)=7(0.27)t, where the output f(t) measures the volume of liquid (in milliliters) in terms of is the…

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Q: The following equation represents the growth of bacteria in a particular food product, where t…

A: Given, the number of bacteria function f(t) = 700e0.1t , where t is time in days. When the bacteria…

Q: Suppose f(x)=6x^2+8x−13 Write an expression in terms of x and h that represents the average rate of…

A: Given function is fx=6x2+8x-13     .......1

Q: Find $ such that D =F. x - hg - hp-

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Q: E. The number of employees for at a certain company has been decreasing each year by 5%. If the…

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Q: A car purchased for $20,160 is expected to depreciate according to the formula  f(x) = −1920x +…

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Q: Find f(0) iff (x) et?

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Q: C'(10) = 380,

A: Given: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.