Find the dimensions of the rectangle of largest area that can be inscribed in a circle of
Question:
Step by Step Answer:
X The area of the rectangle is 2x 2y 4xy Also r x y so ...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Calculus questions
-
2 moles of an ideal mono atomic gas undergoes reversible expansion from (4L, 400K) to 8L such that TV2 =constant. The change in enthalpy of the gas (A) -1500 R (B) -3000 R (C) +1500 R (D) +3000 R
-
Find the dimensions of the rectangle of largest area that has its base on the -axis and its other two vertices above the axis and lying on the parabola y = 8 x2.
-
A rectangle is inscribed in a circle of radius 2. See the figure. Let P = (x, y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. (a) Express the area A of the...
-
Classify each of the following random variables as either continuous or discrete: a. The survival time of a cancer patient after receiving a new treatment for cancer b. The number of ticks found on a...
-
Dustin's labor supply curve is graphed in Figure 16P-1 a. Consider a wage increase from $5 to $6. For Dustin, does the price effect or income effect dominate his labor supply decision? b. Consider a...
-
a. From the price data here, compute the holding- period returns for Jazman and Solomon for periods 2 through 4. b. How would you interpret the meaning of a holding- period return? PERIOD JAZMAN...
-
Consider the delivery time data discussed in Example 11.3. Find the PRESS statistic for the model developed from the estimation data. How well is the model likely to perform as a predictor? Compare...
-
Simco Blenders makes different kinds of electrical blenders, mixers, and grinders for various kitchen needs. These products are powered by small electric motors. Presently, Simco buys these motors...
-
Current Attempt in Progress These are selected account balances on December 31, 2025. Land $195000 Land (held for future use) 292500 Buildings 1560000 Inventory 390000 Equipment 877500 Furniture...
-
Given the accompanying sample data, use Excels formula options to find the 95% confidence interval for the population mean. Assume that the population is normally distributed and that the population...
-
Find, correct to two decimal places, the coordinates of the point on the curve y = tan x that is closest to the point (1, 1).
-
Find the area of the largest rectangle that can be inscribed in the ellipse x2/a2 + y2/b2 = 1.
-
An employee earns $28 per hour and 1.5 times that rate for all hours in excess of 40 hours per week. Assume that the employee worked 46 hours during the week. Assume that the FICA tax rate is 7.5%...
-
4.4 ** A particle of mass m is moving on a frictionless horizontal table and is attached to a massless string, whose other end passes through a hole in the table, where I am holding it. Initially the...
-
Would you buy Molycorp's stock at $11.49 per share in August 2012 and why?
-
A1 mx 1 m (square) vertical pier supports a bridge over an Alaskan river. Determine the force (loading) on the pier by a 10 m x 10 m ice floe that is 1 m thick, and carried by the river. Assume an...
-
When we run a regression of Y (dependent variable) on X (independent variable), we make an assumption that X affects Y. What is it called when there is a problem of Y causing X, or another variable Z...
-
An audio engineer takes decibel readings at distances of r 1 = 1 3 m and r 2 = 2 1 m from a concert stage speaker during a sound check. When he is r 1 from the speaker, the engineer registers a...
-
In 2013, Thomas DePrince, a passenger aboard a cruise ship, visited the ships jewelry boutique, operated by Starboard Cruise Services, Inc. DePrince told the employees of the boutique that he was...
-
How is use of the word consistent helpful in fraud reports?
-
From an economic perspective, is it sound policy to pursue a goal of zero pollution? Why or why not?
-
A business provides services valued at 1 1 0 0 and sends an invoice to the client. The client has promised to pay in one month. which two accounts will be affected?
-
Rushing's financial statements were finalized on March 3, 2025. Required: 1. What amount(s) if any, related to the situations described should Rushing report among current liabilities in its balance...
-
Monroe Company produces and sells three products. Information regarding these three products for 2024, the most recent year, is provided below: selling price per unit Product #1 $26 variable costs...
Study smarter with the SolutionInn App