If an object is projected upward from ground level with an initial velocity of 96 ft per sec, then its height in feet after t seconds is given by s(t) = - 16t+96t. Find the number of seconds it will take to reach its maximum height What is this maximum height?

Q: A company has average monthly costs, in dollars, given by: C ̂ = 45000 / x + 100 + x Where x is the…

A:

Q: The path of a diver is modeled by rx) %= 승x2 + 24x+ 11 where f(x) is the height (in feet) and x is…

A: We, know at maximum or minimum of a function f(x), the first derivative, f'(x)=0. At maximum,…

Q: For the function y = -2+5 sin (x-2), what is the maximum value?

A: Given,Function y =-2+5sinπ12(x-2)

Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

A:

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: (b)

Q: The demand function for a tablet is given by the model p = 200 - 16x2 where p is measured in dollars…

A: Formula for revenue =(price per unit)×(number of units) Profit=revenue-total cost. To solve the…

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: According to question given thatC=0.001x3+9x+128We have to calculate the number of units that…

Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

A:

Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation…

A:

Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately…

A:

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: The cost function for the manufacture of portable MP3 players is given by: C(x) = 25,000 + 20x +…

A: Given cost function is C(x) = 25,000 + 20x + 0.001x2  So the average cost function is…

Q: If a ball is thrown into the air with a velocity of 40 fts, its height in feet seconds later is…

A:

Q: A population of bacteria is growing according to the equation P(t) 1800e 0.09t. Estimate when the…

A: The population is given as a function of time. So put the population to get the answer.

Q: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream…

A: The concentration of the drug in the patient's bloodstream after t minutes is given by

Q: If a projectile is launched vertically upward from the ground with an initial velocity of 80ft per​…

A:

Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

A:

Q: A population of bacteria is growing according to the equation P(t) = 1950e" 10. Estimate when the…

A:

Q: If a ball is thrown directly upward with a velocity of 40 ft/s, its height, h, (in feet) after t…

A:

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A: Solution

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: ​Aki's Bicycle Design has determined that when x hundred bicycles are​ built, the average cost per…

A: The average cost per cycle cx=0.1x2-1.2x+3.939 To minimize the cost, let us find the derivative of…

Q: A population of bacteria is growing according to the equation P(t)=850e0.22tP(t)=850e0.22t. Estimate…

A:

Q: If a resistor of R ohms is connected across a battery of E volts with internal resistance r ohms,…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 160 feet per​…

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per…

Q: If an object is projected upward from ground level with an initial velocity of 160 ft per​ sec, then…

A:

Q: If an object is projected upward from ground level with an initial velocity of 32 ft per​ sec, then…

A: A quadratic function is maximum or minimum at the vertex, which is x=-b/2a

Q: A population of bacteria is growing according to the equation   P(t)=1550e^0.06t, where t is the…

A:

Q: a) What is the maximum amount of the salt that will ever dissolve in the methanol? b) If x = 50 when…

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is the average cost…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given that Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to…

Q: A projectile is launched upward from a height of 720feet with an initial velocity of 64ft/s.The…

A: From the given information;A projectile is launched upward from a height of 720 ft with initial…

Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

A: Let's find.

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: Given, The height of the ball is given by : y = 42t -16t2 ;  Where y is in feet and t is in seconds…

Q: In times of crisis like the Covid-19 pandemic, the basic needs of humans become in demand. The…

A:

Q: The monthly total revenue from a certain product sales of x unit is given as: R(x) =12x – 0.01x²…

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Here we have to find the number of units x that produces the minimum average cost per unit C¯ in the…

Q: The demand function for a tablet is given by the model P= 200-16x2 where p is measured in dollars…

A:

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: We need to find estimated years and oil barrels.

Q: A stone is thrown vertically into the air at an initial velocity of 71 ft/s. On a different planet,…

A:

Q: The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the…

A: Rewrite the given function as Y=1000x-x2. Compare the above function with the quadratic function…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Let C be the concentration of the antibiotic in μg/mL t hours after the antibiotic is taken. Given…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: A ball is thrown upward so that its height above the ground after time t is h(t) = 20t-5t, where h…

A: Given is : We have to find time when h(t) or height will be maximum And for height , function is :…