A certain diet pill is designed to delay the administration of the active ingredient for several hours. The concentration C(t) (in mg/L) of the active ingredient in the bloodstream t hours after taking the pill is modeled by  C(t)=3t/2t^2-20t+51 What are the domain restrictions on the function? Use the graph to approximate the maximum concentration. Round to the nearest mg/L What is the limiting concentration

Q: David has available 480 yards of fencing and wishes to enclose a rectangular area. (a) Express the…

A: Given:

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A: We have to find - the number of riding lawn mowers to produce in order to minimize average cost,…

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/4x…

A:

Q: The function f(x) = -x2 + 46x - 360 models the daily profit, f(x), in hundreds of dollars, for a…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get Now

Q: Diana has available 520 yards of fencing and wishes to enclose a rectangular area. (a) Express the…

A: a).

Q: Rachel has 280 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

A: We have to find area equation , x and maximum area

Q: Beth has 3000 feet of fencing available to enclose a rectangular field.(a) Express the area A of the…

A: It is given that Beth has 3000 feet of fencing available to enclose a rectangular field. Let the…

Q: A company estimates the profit for selling a certain commodity by the given function, P(x) = -x2…

A: We will find out the required value.

Q: Suppose the function below describes a physical situation that makes sense only for whole numbers…

A: f(x) = 12x - x² - 16 So, f'(x) = 12 - 2x &, f''(x) = - 2 For, extreme values of f, we have,…

Q: The height of a ball thrown across a field, f(x), in feet, can be modeled by f(x) = -0.005x² + x +…

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

Q: From the graph of the function below, find the coordinates of all relative extrema y=x4-3x3+5x+1

A:

Q: Graph the function by setting the x-intercept and the asymptote. Provide your answer below: f(x) z 4…

A: We need to graph the function.

Q: David has available 400 yards of fencing and wishes to enclose a rectangular area. ​(a) Express the…

A: David has 400 yards of fencing and he wishes to enclose a rectangular area.

Q: From the graph of the function below, find the coordinates of all relative extrema. y=x4-3x3+5x+1

A: Given: y = x4-3x3+5x+1 To find: From graph of the function to find all coordinates of all relative…

Q: The rate at which snow fell on a cul-de-sac street on a particular day can be modeled by the…

A: You must have idea about standard form of parabola in order to understand the problem.

Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

A:

Q: Describe the behavior of the function h  around its vertical asymptote at x= -5 for the equation:…

A:

Q: Asymptotes: x = 3 and y = -2.

A: Given: Asymptotes are x = 3 and y = -2

Q: A county landfill has a maximum capacity of about 121,000,000 tons of trash. The amount in the…

A: (a) Find the slope and the y - intercept and then plot the equation for the function T(x).…

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A:

Q: If club members charge $5 admission to a classic car show, 1000 people will attend, and for each $1…

A: If club members charge $5 admission to a classic car show, 1000 people will attend, for each $1…

Q: Word problem

A: (a) Sketch the profit versus the number of bicycles sold as follows. Since the minimum number of…

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A: Given: Ivana has 240 meters of fencing and wishes to from three side of a rectangular field. The…

Q: Enter the equation of the function, g(x), whose graph is the result of f(x) = √√x shifted right 6…

A: Please see the below picture for detailed solution.

Q: Imagine a lidless box with height h and a square base whose sides have length x. The box must have a…

A: Let us consider a lidless box with height h and a square base whose sides have length x such that…

Q: David has 400 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of…

A: To find the area

Q: Keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

A: keiko has 360 meters of fencing and wishes to form three sides of a rectangular field. The fourth…

Q: For the function y= -1+6cos what is the maximum value? Answer here

A:

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

A:

Q: True or False The y-intercept of the graph of the functiony = f9x), whose domain is all real…

A: The intercepts are the points where the graph of the function crosses the axes.  When the graph of…

Q: The daily closing price of a share of Slope Dude stock for one week can be modeled bu p(x) - x3 -9x2…

A:

Q: The average cost per hour in dollars of producing x riding lawn mowers is given by the following.…

A: a) Using the graphing utility Wolfram alpha we find that the value of x for which we get minimum…

Q: Suppose the function below describes a physical situation that makes sense only for numbers between…

A:

Q: From a 12 cm by 12 cm piece of can be folded up to make a box. a. Express the volume of the box as a…

A: 12 cm by 12 cm piece of can be folded up to make a box.

Q: The graph of y ={(x) = V- 9 is horizontally stretched away from the y-axis by a factor of3 to…

A: fx=x-9

Q: David has 400 yards of fencing and wishes to enclose the area. A. Express the area of A of the…

A: Given that David has 400 yards of fencing and wishes to enclose the area

Q: A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function…

A:

Q: Find the vertical asymptote.

A: Given:

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

A:

Q: Suppose that the cost (in dollars) of manufacturing x items is approximated by the formula C2 = 2x +…

A: The cost of manufacturing x items is given by the following formula C2 = 2x+x2 To evaluate: The…

Q: The function C(1) = x+ 80x +361 gives the cost, C, to make x items. a) What do we need to divide the…

A:

Q: Find the points on the graph of the function that are closest to the given point. flx) = x2 - 6 -3)

A:

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Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

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Q: The average cost per hour in dollars of producing x riding lawn mowers is given by the following.…

A: Explained below

Q: Donna has 280 meters of fencing and wishes to enclose a rectangular field. Suppose that a side…

A:

Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…

A: Draw the diagram of the pen for the puppy.

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A: