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A rectangle that is x feet wide is inscribed in a cirdle of radius 4 ft...
Q-3:a) A rectangle is to be inscribed in a semicircle of radius 2 m. What is...
Q-3:a) A rectangle is to be inscribed in a semicircle of radius 2 m. What is the largest area that the rectangle can have and what are the dimensions. (10 marks) 0-4: Draw a graph of f(x) (15 marks)
A rectangle is inscribed in a circle of radius 1 (see the figure). Let P =...
A rectangle is inscribed in a circle of radius 1 (see the figure). Let P = (x,y) be the point in quadrant that is a vertex of the rectangle and is on the circle. Psy) Answer the following questions (a) Express the area A of the rectangle as a function of X A(x) = ax/1-x² (b) Express the perimeter p of the rectangle as a function of x. p(x) = 2(2** 2/7-x) (c) Graph AA(X). For what value of A...
(1 point) Find the dimensions of the rectangle of largest area that can be inscribed in...
(1 point) Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. List the dimensions in non-decreasing order (the answer may depend on r).
Please do both 3. A rectangle has its base on the x-axis and it upper two...
Please do both
3. A rectangle has its base on the x-axis and it upper two vertices on the parabola y = 12 - x? What dimensions will maximize the area of the rectangle? 4. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere with radius 8 inches? OE (S! R4 135=61 rta 64 - 4
QUESTIONS 13-18 PLEASE! Maximum Storage Area DUE DATE: This project is worth 10% of your Unit...
QUESTIONS 13-18 PLEASE!
Maximum Storage Area DUE DATE: This project is worth 10% of your Unit 2 grade. Please review the Project FAQ handout for format and process. Problem Situation A construction company wishes to build a rectangular enclosure to store machinery and equipment. The site selected borders on a river that will be used as one of the sides of the rectangle. Fencing will be needed to form the other three sides. The company foot high chain-link fencing. The...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The...
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 27 ft long and 21 ft wide. If the gardener build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.) wants to ft2 ft 21 ft ? 27 ft
A 2 ft high x 6 ft wide double-glazed window faces southwest. The window has a frame with width o...
A 2 ft high x 6 ft wide double-glazed window faces southwest. The window has a frame with width of 1.25 in. around the outside edge. The top of the window has a 1.5 ft overhang that extends a great distance on each side of the window. The incident angle is 60 deg, the incident direct irradiation is 120 Btu/hr-ft, and the incident diffuse irradiation is 50 Btu/hr-ft. 1- Compute the shaded area of the frame and glazing on July...
(2,4 A water tank is formed by revolving this graph about It is 4 feet wide...
(2,4 A water tank is formed by revolving this graph about It is 4 feet wide and 4 ft high, as shown in the picture. ater is to be pumped to a level one foot above the top, work will be required? Let w be the weight density, in lb per ft", so that your answer will be an expression number the y-axis: It is 4 feet wide and 4 ft high, as shown in the picture. If all the...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? yards and a width of yards. A rectangle that maximizes the enclosed area has a length of The maximum area is square yards Enter your answer in each of the answer boxes. The function f(x)=x® - 3 is one-to-one. Find an equation for f '(x), the inverse function. (Type an expression for the...
Q-3:a) A rectangle is to be inscribed in a semicircle of radius 2 m. What is the largest area that the rectangle can have and what are the dimensions. (10 marks) 0-4: Draw a graph of f(x) (15 marks)
A rectangle is inscribed in a circle of radius 1 (see the figure). Let P = (x,y) be the point in quadrant that is a vertex of the rectangle and is on the circle. Psy) Answer the following questions (a) Express the area A of the rectangle as a function of X A(x) = ax/1-x² (b) Express the perimeter p of the rectangle as a function of x. p(x) = 2(2** 2/7-x) (c) Graph AA(X). For what value of A...
(1 point) Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. List the dimensions in non-decreasing order (the answer may depend on r).
Please do both
3. A rectangle has its base on the x-axis and it upper two vertices on the parabola y = 12 - x? What dimensions will maximize the area of the rectangle? 4. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere with radius 8 inches? OE (S! R4 135=61 rta 64 - 4
QUESTIONS 13-18 PLEASE!
Maximum Storage Area DUE DATE: This project is worth 10% of your Unit 2 grade. Please review the Project FAQ handout for format and process. Problem Situation A construction company wishes to build a rectangular enclosure to store machinery and equipment. The site selected borders on a river that will be used as one of the sides of the rectangle. Fencing will be needed to form the other three sides. The company foot high chain-link fencing. The...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 27 ft long and 21 ft wide. If the gardener build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.) wants to ft2 ft 21 ft ? 27 ft
A 2 ft high x 6 ft wide double-glazed window faces southwest. The window has a frame with width of 1.25 in. around the outside edge. The top of the window has a 1.5 ft overhang that extends a great distance on each side of the window. The incident angle is 60 deg, the incident direct irradiation is 120 Btu/hr-ft, and the incident diffuse irradiation is 50 Btu/hr-ft. 1- Compute the shaded area of the frame and glazing on July...
(2,4 A water tank is formed by revolving this graph about It is 4 feet wide and 4 ft high, as shown in the picture. ater is to be pumped to a level one foot above the top, work will be required? Let w be the weight density, in lb per ft", so that your answer will be an expression number the y-axis: It is 4 feet wide and 4 ft high, as shown in the picture. If all the...
David has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? yards and a width of yards. A rectangle that maximizes the enclosed area has a length of The maximum area is square yards Enter your answer in each of the answer boxes. The function f(x)=x® - 3 is one-to-one. Find an equation for f '(x), the inverse function. (Type an expression for the...
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