Diana has available 120 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is the area largest? (c) What is the maximum area?

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

A: Given:

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

A: a).

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

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: Find the absolute maximum value of the function f(x) = (x - *).

A:

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

Q: how to identify the new quadratic function/s?

A: Using definition of quadratic function.

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

A:

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

A:

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

A: Given:

Q: Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not more…

A:

Q: Find the maximum profit where x that must be produced and sold. Assume that​ revenue, R(x), and​…

A:

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

A: Topic:- algebra

Q: The demand function for a certain make of exercise bicycle sold exclusive through cable television…

A:

Q: Consider f(x)= (x+4) / (sqrt(x^2 + 4)) Find the exact value of the maximum of f.

A: given, f(x)=(x+4)(x2+4)

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: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

A:

Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: Does the function g(x)=2-x  approach a certain real number as the value of x increasing positively?…

A: Given - g(x) = 2-x To find - Does the function g(x) approach a certain real number as the value of x…

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = 0.002x…

A: Given that f(x)=0.002x4+0.025x3-0.364x2-7.243x+86.993 where x is the number of years since 1993 we…

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

A:

Q: If a projectile is fired straight upward from the ground with an initial speed of 128 feet per…

A:

Q: An aircraft factory manufactures airplane engines. If x engines are made then the unit cost is given…

A: This question is related to maxima and minima of function, we will use differentiation to solve…

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: The amount of fencing required would be equal to the sum of length of all the sides including the…

Q: Where does A(x) have a maximum? Explain why that answer is what you should have expected.

A:

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: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: Given:- A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by…

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

A:

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: If a projectile is fired straight upward from the ground with an initial speed of 128 feet per​…

A:

Q: If a ball is tossed in the air modeled by f(x) = -1.5 x2 + 12x + 7 , where height is measured in…

A: The given function is:f(x)=-1.5 x2 + 12x + 7

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Please refer the attached image for complete solution.

Q: Does a relative maximum of a function always have the largesty-value in the domain of the function?…

A: A relative maximum point is a point where the function changes direction from increasing to…

Q: At what x value does the local maximum occur for the function x^3 -4x-2 ? Give your answer in…

A: It is maximum value problem.

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

A:

Q: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1 4 without using a graphing utility.…

A: Given,

Q: the perimeter of a rectangle is 44.8 ft.  A) express the area of the rectangle as a function of the…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

A:

Q: Sketch the quadratic f(x) = (x-4)² - 5 main points from the parent function, appropriate manner.

A: Topic:- function

Q: 6) What is the function of the quadratic that was vertically stretched by a factor of 2 and shifted…

A: According to the guidelines issued by the company we are supposed to answer only first question.…

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

A:

Q: Why must a cubic function have at least one x-intercept

A: A cubic function with REAL coefficients can have either one x-intercept or 3 x-intercepts. This is…

Q: What is the maximum value of the function y = -x² + 6x – 7?

A: 3 To find the maximum value of the given function y = -x2 +6x -7