The suspension cable that supports a footbridge hangs in the shape of a parabola. The height h, in feet, of the cable above the bridge is given by the function h(x) = 0.24x2 − 0.8x + 15, 0 < x < 3.2 where x is the distance in feet measured from the left tower toward the right tower. What is the minimum height of the cable above the bridge? (Round your answer to two decimal places.)

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

A: Given:

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

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

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

A:

Q: 3. Jennifer has 26 m fencing to surround her rectangular vegetable garden in her backyard. a) What…

A: I am going to solve the given problem by using some simple geometry to get the required result of…

Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into…

A: Given query is to find the the vertex form and the minimum value of f.

Q: The monthly profit from the sale of a product is given by P = 18x − 0.1x2 − 50 dollars. (a) What…

A: given: The monthly profit from the sale of a product is given by P = 18x -0.1x2−50 . to find: a. the…

Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

A:

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

A:

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: 10. Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and…

A: Consider the given question,Quadratic equation is a parabolic equation and its vertex is highest or…

Q: A conservation commission estimates the reproduction function for rainbow trout in a large lake to…

A: Given:

Q: Find the point on the parabola x = t, y = t2, -infinity&lt;=t &lt;=infinity, closest to the point…

A: Consider the required point as (x,y)Consider the formula of distance between the two points.

Q: A manufacturer of lighting fixtures has daily production costs of C= 800 - 50x + 0.25x?, where C is…

A:

Q: Let p= 23 - square root x and ​C(x)​= 254 +3x, where x is the number of garden hoses that can be…

A:

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: A company with a monopoly is able to control the price of its product by limiting supply. If the…

A:

Q: For the quadratic function f(x)= -x +6x, answer parts (a) through (c). 29- VVnat are une cooramates…

A: solution is given below

Q: explain this.    the given height of a spaceship at time x is defined by h(x)=…

A:

Q: Diana  has available 80 yards of fencing and wishes to enclose a rectangular area. ​(a) Express the…

A: (a) First of all, consider the formula for the surface area of the rectangle as fencing area is…

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: The cost in dollars for a company to produce x widgets is given by C(x)=4250 +6x for ≥0, and the…

A:

Q: Every second counts You must get from a point P on the straightshore of a lake to a stranded swimmer…

A: Since you have posted multiple questions. We will solve first two questions for you. If you want any…

Q: 2.a. Find the maximum and minimum values of the function: y = 3x² 18x +31 -

A: We have to find the maximum and minimum values of the given function y=3x2-18x+31 .

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: Approximate the curve of the given function f. f(x) = x³ – 6x² + 20 Answer the following: Minimum:…

A: Topic = Functions   Maximum (0,20) Minimum (4,-12)

Q: A Calculator manufacturer's fixed daily costs are given by the function C(x)=750+5x-0.6x2 where x is…

A:

Q: 1. Consider the graph of the quadratic function f(x) = 2(x + 3)² + 1 and each of the following: (4…

A:

Q: Q#4: (i) What is the projected level of revenue in 3 years for a company with current revenues of…

A: (i).       The present value is the value of the sum received at time 0 or the current period.  It…

Q: a company that makes and sells digital cameras has found that the total weekly cost of producing…

A: We have given the cost function C(x)=0.5x^2-210x+26250

Q: Suppose that 513 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Let x be the width of the corral and y be the height of the rectangular section. And also the…

Q: A ball is thrown upward and outward from a height of 5 5 feet. The height of the​ ball, f(x), in​…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to vield the…

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 − 12x2 − 27x + 8…

A: We are given the function f(x) = x3 − 12x2 − 27x + 8. Here, we need to find the local minimum value…

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: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15 mi from…

A: Given- A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15…

Q: x? maximum point of y = — х — 12 х+5 O -0.76, -2.51 О 9.24, 19.48 О-9.24, -19.48 О 0.76, -2.51

A: Given y=x2-x-12x+5 To do Find the Maximum point of y

Q: What is the equation of the function for a parabola that moves 2 units to the right of the origin, 2…

A: Given parent function is f(x)=x2

Q: Consider that when medicine is administered, reaction (measured in change of blood pressure or…

A: Given: R=m2c2-m3 where, c is a positive constant, m is the amount of medicine absorbed in blood for…

Q: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 12 mi from…

A: Given a boat in the ocean is 5 mi from the nearest point on a straight shoreline that point is 12 mi…

Q: A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares…

A: The volume of the box is V=4x3-16x2+16x

Q: A local sandwich store has a fixed  weekly cost of 510.00 and variable cost for making a roast beef…

A: Given: A local sandwich store has a fixed weekly cost of $510.00 and variable cost for making a…

Q: 1. Find the maximum point of the following curve. <press your answer in this form (#,#) or N/A if…

A: Differentiate the given function with respect to x and then solve y'= 0 to obtain the critical…

Q: The absolute maximum of the function f(x) = 4x? 12x + 10 over [1, 6]. -

A:

Q: A manufacturer determines that the profit P (in dollars) obtained by producing and selling x units…

A: Given:            Profit model:                              P(x,…

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

A: Given Data The cost of daily production is C=800-30x+0.75x2.   Differentiate the cost of the daily…

Q: maximum point of y X – 2

A: Given equation: y2=x2x-2

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

A: Explained below

Q: A ball is thrown in the air. Its height at any time t is given by: h =3 +14t -5t? What is the…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.