3. On a college campus of 5000 students, one student returns from vacation with a contagious and long-lasting flu virus. The spread of the virus is modeled by 5000 F(t)= -0.81 1+4999e-0S where F(1) is the total number of students infected after t days. The college will cancel classes if 40% or more of the students are infected. (a) Graph the function and sketch the curve, label an appropriate domain and range. (b) How many students are infected after 5 days? (c) After how many days will the college cancel classes?

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

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A:

Q: Determine analytically the point (s) at which the graph of the function has a horizontal tangent. x2…

A:

Q: 7/8 For what value of x does the graph of f(x) = x8e* have a horizontal tangent?

A:

Q: What must be done to a function’s equation so that its graph is stretched vertically?

A: The graph of a function is stretched vertically.

Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

A: In the question we have to find the differential equation and the value at x=15.

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A: The median size of a new single-family house built in the United States is modeled by the equation…

Q: A company has started selling a new type of smartphone at the price of $110 - 0.1 x where x is the…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 128 feet per second,…

A: Given height as a function of time S= -16t2+128t Here, A= -16 B= 128, C=0

Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

Q: Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form:…

A: The algebraic representation of the linear function is fx=mx+b

Q: A manufacturer has determined that the weekly profit from the sale of x items is given by the…

A:

Q: The marginal revenue function of a good is given by MR = 275 – x – 0.3x². Find the percent of…

A: Given: The marginal revenue function MR=275-x-0.3x2. The production is increased from 10 units to 20…

Q: As I left home in the morning, I put on a light jacket because, although the temperature was…

A:

Q: The magazine Scientific American released a study of data analysis on how quickly children are able…

A: The function P(t) represents the percentage of children who can speak in at least single words by…

Q: In a particularly small region in the Philippines, the consumer price index C depends on • E, the…

A: Given that, The consumer price index C, which depend on The current value of the gross Domestic…

Q: It is estimated that between the hours of noon and 7:00pm, the speed of highway traffic past a…

A: Check S(t) for all values of t

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

A: Let at any time 't', the distance of car A from the intersection is x, and the distance of car B…

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

A:

Q: The tangent line to the graph of f(x)= 5-x+e^(x-1) is horizontal at what  point?

A: Calculus Question

Q: am having trouble finding the equation of the line tangent to the graph of f at (1,1), where f is…

A:

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A:

Q: The following graph shows the pathogenesis curve for a certain infectious disease from the time when…

A: The function is ft=-t3+17.6t2+7.2t.   Substitute 8 for t in ft=-t3+17.6t2+7.2t.…

Q: 5. The function is decreasing everywhere and changes from concave up to concave down at x = -1 and…

A: The graph of the function. We have to check whether the given statement is correct or not.

Q: The following graph shows the pathogenesis curve for a certain infectious disease from the time when…

A: Given function is: ft=-t3+17.6t2+7.2t where, t is the time in number of days. ft is the number of…

Q: Find the maximum rate of decrease of f at the point (1, 2). None of the above -2/2 2/2 8.

A: To find- Maximum rate of decrease of f at the point(1,2)

Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.

A:

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

A:

Q: The location of the point of inflection in the graph of the function y = x ln x is

A: Given: y = x ln x

Q: The figure shows the percentage of the U.S. popul ati on, f(x), made up of teachers as a function of…

A: Given graph is,

Q: The following graph shows the pathogenesis curve for a certain infectious disease from the time when…

A:

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: If f (x)= x2 - 4x, at which point on the graph f (x) is the tangent line horizontal

A: topic - slope of tangent line

Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

A:

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

Q: On the basis of data for the years 1911 through 1991, the expected life span of people in a country…

A: First find the number of years x from 1908 to date of birth of the person 1966 than put that x in…

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second,…

A: Consider the provided function.

Q: A researcher believes that if x thousand individuals among a susceptible population are inoculated…

A: Given: I(x)=aRx-b R=0.9

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: In a particular very small region, the consumer price index, C, depends on the current value of…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A:

Q: 2. A property agent handles an office building with 50 identical offices for rental. Experience…

A: 50 offices occupied corresponding to $800 49 offices corresponding to $820 Plot the two points and…

Q: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: suppose the line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the line…

A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the…

Q: Find the equation of the line tangent to the graph of f(x)= -(1/6)x^2 at x=3

A:

Q: Consider the following function. f(x) = x* + 4x3 + 11 (a) Make a sign diagram for the first…

A: We have to find the sign diagram for first derivative,  sign diagram for second derivative,  sketch…

Q: 5. Find the length of the curve given by the graph of the function f(x) = x/x, for a in [1,4].…

A:

Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?

A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…

Q: The population of the United States can be modeled by the function p(x) = 80.21e131x where x is the…

A: We have to graph P(x) and predict population in given years.   According to our guidelines we can…