The height y (in feet) of a ball thrown by a child is -2² + 4x + 3 12 y = where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet

Q: Salmon Spawning The number of salmon swimming up- stream to spawn is approximated by S(x) = -x³ +…

A: The number of salmon swimming upstream to spawn is approximated by Sx=-x3+3x2+360x+5000.…

Q: f(x)=3x2+18x-2 What is the value? and does it have a minimum or maximum value?

A: The given function is: f(x)=3x2+18x-2

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: The total cost function is given as  And the revenue function is given as Then the profit function…

Q: land bordered on one side by a highway. There are 760ft of fencing available to fence the other…

A: Length of fencing = 760ft  Length of 2 parallel sides = x

Q: An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the…

A:

Q: The monthly profit from the sale of x units of a product is P = 80x-0.042-12000 dollars. (a) What…

A: Here is the solution of the given problem. Maximum Profit Function.

Q: The total weekly revenue for a firm is R(x) = 6000x - 40x² sold. A maximum of 100 units can be sold…

A:

Q: A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x),…

A: Consider the given model for the height of football fx=-0.025x2+x+6 First, find the first derivative…

Q: the total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillow is…

A: To find the following parts, 1). The number of pillows that must be sold to maximize the profit. 2).…

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: The revenue function R(x,y) is a function in two variables. Hence the maximum revenue will be at a…

Q: 5. The height (feet) of a projectile x seconds after it is launched straight up in the air is given…

A: The instantaneous speed of any projectile at it's maximum height is zero . Because gravity provides…

Q: 1. What is the maximum value of y in the function y = -x²- x + 90? Show your solution. 2. What value…

A:

Q: The height y (in feet) of a ball thrown by a child is 1 -x2 + 4x + 3 12 y = where x is the…

A:

Q: The path of a diver is modeled by f(x) = - 4,2 24 + x + 13. 9 where f(x) is the height (in feet) and…

A:

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x +0.75x², where C is…

A: To find out the production units required to yield minimum cost.

Q: The revenue function is given by R(x) = 38x - 0.01x2. If production is limited to 1500 units. Find…

A: Given revenue function is, Rx=38x-0.01x2 And as production limit is 1500 unit so x≤1500

Q: the daily profit in dollars of a specialty cake shop is descrived by the function P(x)= -5x^2 + 230x…

A: The function P(x)=-5x2+230x-2,040 describes the the daily profit in dollars of a specialty cake…

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: The average cost in dollars of producing x units of golf clubs is C(x) = x2- 18x + 140. Determine…

A: Average cost of golf clubs - C(x) = x2-18x+140Given that,C(x) should be below 75$Then,C(x) <…

Q: The paren" function of a QUADRATIC equation is transformed as described. Write the new equation in…

A:

Q: y = -5x^3+ 135x^2-675x + 107, find minimum, maximum,a nd point of inflection

A:

Q: The profit for a product is given by P (x)=- 14x²+ 1400x – 33,600- where x is the number of units…

A:

Q: Determine the domain and range of the quadratic function. (Enter your answers using interval…

A:

Q: The profit (P) for a company is given by the equation P=-0.02x^2 + 1.40x + 1500, where x is the…

A: Consider the given profit function: P=-0.02x2+1.40x+1500 Where  x is the number of units sold Here,…

Q: 5. The profit function for a business is given by the equation P(x) = -3x2 + 24x – 45, where x is…

A: Given that

Q: the number produced. If the total revenue is given by R(x) = 450x x2 dollars, how many items, x,…

A: Given query is to find the maximum profit .

Q: Y=1/5x^3-square root of x^2+1.Find the graph, the concavité upward and downward, point of…

A: The given function is f(x)=15x3-x2+1 To graph the function and find the interval where the function…

Q: Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on…

A:

Q: 8. The profit P(in hundreds of dollars) that a company makes depends on the amount x (in hundreds of…

A: Given: The given function is P=230+20x-0.5x2. where x is the expenditure made by the company. The…

Q: The profit function for a firm making widgets is  P(x) = 176x − x2 − 1000.  Find the number of…

A: Given that, Profit function of a firm making widgets is, P(x) = 176x - x2 - 1000 where x is the…

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A: Calculate the derivative for P i.e. P’(x).

Q: A farmer has 480 meters of fencing with which to build two animal pens with a ... common side as…

A:

Q: The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower…

A: Given

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: A farmer wishes to make a rectangular chicken run using the existing wall as one side. He has 16…

A:

Q: The total cost of production of x units of a product is given by C = x2 - 50x + 725 Find the level…

A:

Q: 6. The path of a ball is given by y =- tx2 + 3x + 5 where y is the height (in feet) of 20 the ball…

A:

Q: A firm's average cost function is given by the quadratic                                y = x2 -…

A:

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A: First we will find the derivative of profit function and put it equal to zero because at max profit,…

Q: Find the dimensions of a rectangle with perimeter 1000 metres so that the area of the rectangle is a…

A:

Q: Solve the equation algebraically. Verify your results using a graphing utility. 5y + 6 = - 18 - y

A:

Q: The profit of a company can be expressed as: g(x) = -2x² + 160x where x represents the %3D number of…

A: Given profit function  g(x) = -2x2+160x where x represents the number of units sold. Also given the…

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A: To find the dimensions of the box.

Q: A ball thrown into the air reaches a height h (in feet) according to the formula h = -16t2 + 80t,…

A: Given, Height in feet,  h = -16t2 +80t  Where t is the time elapsed since the ball was thrown  We…

Q: A farmer has 44 metres of fencing to build three sides of a rectangular animal pen with the wall of…

A: Introduction: In mathematics, a derivative is the rate at which a function changes in relation to a…

Q: A farmer has 480 meters of fencing with which to build two animal pens with a ... common side as…

A: Let us assume that both pens have same dimensions.

Q: value of a new car in dollars is modeled by the formula V = 150t^2 - 3300t+24000 where t represents…

A:

Q: Ricky wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the…

A: