Determining the dimensions of a rectangle of maximum area

Assignment Help Mathematics
Reference no: EM13357230

Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle.

Area A rectangle is bounded by x-axis and the semicircle y=√ 25 - x2 (see figure). What length and width should the rectangle have so that its area is a maximum?

1358_Find the dimensions of a rectangle.png

Reference no: EM13357230

Questions Cloud

To make a conjecture about the tangent lines and the graph : to make a conjecture about the tangent lines and the graph with the proof of the conjecture.conjecture consider the
Finding the equations of tangent lines and critical : finding the equations of tangent lines and critical points.conjecture consider the functions fx frac12 x2nbspand gx
Finding the value of x such that the vertical distance is : finding the value of x such that the vertical distance is maximum.nbspconjecture consider the functions fx frac12
Graphing the given function using the graphing utilityapply : graphing the given function using the graphing utility.apply eulers method to the following differential equation to
Determining the dimensions of a rectangle of maximum area : determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle.area a rectangle
Finding the side lengths of the given trianglenbsplength a : finding the side lengths of the given triangle.nbsplength a right triangle is formed in the first quadrant by the x-
Finding the dimensions of a rectangle using second : finding the dimensions of a rectangle using second derivative test.area a rectangle is bounded by the x- and y- axes
Determining the maximum area of a norman window with the : determining the maximum area of a norman window with the fixed perimeter of 16 feet.anorman window is constructed by
Finding the maximum speed using first derivative testnbspon : finding the maximum speed using first derivative test.nbspon a given day the flow rate f cars per hour on a congested

Reviews

Write a Review

Mathematics Questions & Answers

  What is the probability at least one is math phobic

About 12% of the population is math phobic. If two people are randomly selected, what is the probability both are math phobic? What is the probability at least one is math phobic?

  Identifying as well recognizing variations in sets

Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?

  Algebraic number theory

Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].

  Find the speed of the plane

A plane can fly 1280 miles in the same time as it takes a car to go 400 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.

  How many deer are in the preserve

to determine the number of deer in a game preserve, a conservatioist catches 569 deer, tags them and lets them loose. Later, 400 deer are caught; 200 of them are tagged. How many deer are in the preserve?

  Problem solving on single mean

Problem solving on single mean

  How many more kilometers must be driven

after driving 164 km 4/7 of the trip is completed. how long is the trip? how many more kilometers must be driven.

  Volume of rotated solid with disk method

Use the disk method to calculate the volume of the solid shape than will come about as a result of rotating the area bounded by the graphs of y=x^3, y=1, and x=2 about the x-axis.

  Determine the length of this rectangle in inches

a rectangle with a perimeter of 102 inches is half as wide as it is long.Write and solve an equation to determine the length of this rectangle in inches?

  What is the volume of water in the tank

water tank in the shape of hemisphere has radius a and depth h . what is the volume of water in the tank?

  How many members and non-members came to the play

353 people attend a local play at a private club. members get tickets for $2.75 while non-membrs have to pay $6.50 if the total gate for the play came to $1762.00 how many members and non-members came to the play.

  Find the rate at which the distance from the plane

A plane flying horizontally at an altitude of 2 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd