An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model p = -t2 + 13t +130, where 1 ≤ t ≤ 6. Find the day the 160 students had the flu. Recall that the restriction on t is at most 6.

Q: Average Linh has obtained scores of 82, 75, and 71 on hermidterm algebra exams. If the final exam…

A: Since Avearge Linh has obtained scores of 82,75 and 71 on her midterm algebra exams. If the final…

Q: Find the minimum value of g(t)=t3−588t+4 on the interval [−7,15]

A: We can find the minimum value as below

Q: Show that the equation x3 - 15 x + c = 0 has at most oneroot in the interval [-2, 2] .

A:

Q: Q2. A phone manufacturer finds that the cost in Omani Rials f of making x phones per day is given by…

A:

Q: If an object is thrown directly from t seconds s (t) = -16t ^ 2 + 48t + 256 feet after t seconds.…

A: For maxima, [double derivative of  s(t)]<0.

Q: Among all pairs of numbers (x,y) such that 4x+2y=18 find the pair for which the sum of squares,…

A: Given  4x+2y=18 y=18-4x2=9-2x f=x2+y2 Put the value of y in f f=x2+9-2x2f=x2+81+4x2-36x  =5x2-36x+81

Q: can there be a maximum for Q = x2 + y2 if x + y = 6? Justify your answer.

A: To check: Whether Q have maximum value or not. Given: The functions are Q=x2+y2, if x+y=6. Concept…

Q: Find the minimum value of xy, when p²x* + q²y* = r². %3D

A:

Q: Suppose that x and y are two positive numbers, and suppose that r+ 2y = 30. Find the maximum value…

A: Given that: x+2y=30…

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: For each value of λ the function h(x,y)=x2+y2−λ(6x+4y−18) has a minimum value m(λ). For which value…

A:

Q: Let Mand mbe the maximum and minumum values of the function f (x, y) = 81x? + y? subject to the…

A:

Q: The path of a diver is modeled byf(x) = (−4/9)x2 + (24/9) x + 12where f(x) is the height (in feet)…

A: Givenf(x) = -49x2+249x+12here, a = -49 , b = 249this is downward opening parabola.

Q: The profit P (in dollars) generated by selling x units of a certain commodity is given by P( x) =…

A:

Q: What is the maximum of the function y = -x° + 3x for x > -1? O-4 O2 04 O-2

A: The given function is y=-x3+3x for x≥-1. Calculate the maxima of the function. Here we use the…

Q: Among all pairs of numbers (x,y)such that 4x+2y=22 , find the pair for which the sum of squares,…

A:

Q: What is the domain of y = In (x² – læ 1а — 6)?

A:

Q: Given the utility function of a consumer for the goods x and y, U = (x + 2)(y+ 1) and the prices of…

A: According to the given information, it is required to find the optimal levels of purchase x and y.

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A:

Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 − 200t + 10,000 Where…

A: The given equation is C=50t2-200t+10,000 Differentiate with respect to t, we get dCdt=100t-200 Again…

Q: A furniture manufacturer estimates that the weekly cost of manufacturing x units of a particular…

A:

Q: A furniture manufacturer estimates that the weekly cost of manufacturing x units of a particular…

A: given weekly cost of manufacturing x units of a particular type of office chair is…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A:

Q: The minimum value of Duf(x, y) is ||Vf(x, y)||. Select one: • True X False

A: A statement is given. We have to show that it is true or not.

Q: Assume the total revenue from the sale of x items is given by R(x) = 35 In (4x + 1), while the total…

A: Profit function, P(x)=R(x)-C(x)

Q: A jewelry maker has total revenue for her bracelets given by R= 89.75x and incurs a total cost of C=…

A: The level of production for which the cost and the revenue are equal is called break even point.

Q: Find the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3

A: Explanation and solutions is given below....

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

A:

Q: The minimum value of Df(z, y) is ||Vf(z, y)||- Select one: O True O False

A:

Q: The demand for a new computer game can be modeled by p(x) = 59 - 7 In x, for 0<x5800, where p(x) is…

A:

Q: The demand for a new computer game can be modeled by p(x) = 59.5 -7 In x, for 0sxs800, where p(x) is…

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given b

A: Given relation - P(x) = 50x-0.25x2where,P(x) = Profitx = number of ticketsDifferentiating P(x) with…

Q: The manager of Dixie Furniture Company estimates that the daily output of her factory (in thousands…

A: a.The given function is

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…

Q: Find the maximum of Q=xy if x+y= 56. The maximum value of Q is Q =

A: Given that x+y = 56 And Q = xy We have to find the maximum value of Q.

Q: Suppose that x and y are two positive numbers, and suppose that x + 2y = 30. Find the maximum value…

A: Given data:   The first equation is x+2y=30. The expression for the function is f(x,y)=(x+1)(y+3).…

Q: What is the minimum of the function y = –x° + 3x for x < -1? O 2 O-4 4 O-2

A: We can solve it graphically. Graph of f for x&lt;=-1:

Q: The minimum value of Duf(x, y) is ||Vf(x, y)||. Select one: O True False

A: The properties of gradient: If z is a function of two variables x and y then assume  fx and fy  are…

Q: Among all pairs of numbers (x,y) such that 6x+2y=36 , find the pair for which the sum of squares,…

A: Given,            Among all pairs of numbers (x,y)  such that 6x+2y=36 and to find the minimum value…

Q: Let's assume that the annual profit focus of the company for skiing is given as follows. P (x, y) =…

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p​…

A: a) If revenue is 0 then R=0 p can not be negative so, p=54.7722557505   Answer(a): p=54.7722557505…

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p​…

A: Given: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p​…

Q: A poll commissioned by a politician estimates that t days after he makes a statement denegrating…

A: Hey the previous answer that you have mentioned is actually S'(t)=75(6t2-150)(t2+3t+25)2 There was a…

Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 - 200t + 10,000,…

A: Here we want to find minimum number of copies of newspaper produced. Here we use application of…

Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.

Q: The height of a projectile, in metres, is modelled by H(t) = -5t2 + 10t + 8, where time, t, is in…

A:

Q: The function f(x) =px²-qx+ 32, p 0 has a minimum value of 0 when x= 4. Find the value of p and of q.…

A: The given function is f(x)=px2-qx+32. To use the minima information of the function, let us…

Q: Find the points of discontinuity for 3(х+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х — х2 b) f(x): 9— х2 -

A: