A boy is selling lemonade throughout the hot summer.  Suppose the number of cups sold is given by the function n(x) = x2^(-x) + 2, where price, x, in dollars determines the number of cups sold per day, n, in hundreds.  What is the price that maximizes the number of cups sold?  How many cups are sold at this price?

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

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Q: 2. The height, h, in feet, of an object thrown upward from a height of 144 feet is a function of…

A: Since , it is given that h(t) represent height of the function at time t  h(t)=-16t2+128t+144

Q: The amount of money (in trillions of dollars) that is invested in passively managed mutual funds can…

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Q: Suppose an investment of $3,800 doubles in value every decade. The function (x) = 3,800 - 2"…

A: Given, after x decades the value of the investment is f(x) = 3800·2x We have to find the investment…

Q: Find the Difference Quotient of the following function: f(x)= 4x^2+6. Please show the steps, I'm…

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Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: Answer : Maximum area should be 4.225 unit2 .