Question: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals 64minusxsquared . What are the dimensions

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals 64minusxsquared . What are the dimensions of the rectangle with the maximum area? What is the area? Question content area bottom Part 1 The shorter dimension of the rectangle is enter your response here and the longer dimension is enter your response here . (Round to two decimal places as needed.) Part 2 The area of the rectangle is enter your response here . (Round to two decimal places as needed.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1. Two triangular pens are built against a barn. Four hundred forty meters of fencing are to be used for the Barn three sides and the diagonal dividing fence (see figure). What dimensions maximize...

Use the derivative f'(x) = x (x-5)(x + 1) to determine the local maxima and minima off and the intervals of increase and decrease. Sketch a possible graph of f (f is not unique) The local...

Find the smallest perimeter and the dimensions for a rectangle with an area of 49 in2. 2 is in. The smallest perimeter fer a rectangle with an area of 49 in (Simplify your answer.) A rectangle is...

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y = 25 x2. What are the dimensions of the rectangle with the maximum area? What is the area? The shorter...

pullit(S ) POSSIDIE A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y = 64 - x-. What are the dimensions of the rectangle with the maximum area? What is...

A rectangle is constructed with its base on the x - axis and two of its vertices on the parabola y = 8 1 - x 2 . What are the dimensions of the rectangle with the maximum area? What is the area? In...

Solve the following. K A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y =289 - x. What are the dimensions of the rectangle with the maximum area? What...

Solve the following. Pan 1 of 4 0 Points: 0 of 1 A rectangle is constructed with Its base on the x-axis and two of its vertices on the parabola y = 4 x2. What are the dimensions of the rectangle with...

A rectangle is constructed with its base on the? x-axis and two of its vertices on the parabola y=256-x^2 What are the dimensions of the rectangle with the maximum? area? What is the? area?

1. For f(x)=x^4 - 4x^3 + 4x^2 find all local and absolute maximum, and minimum values on the interval [-1, 3], For each point found, state if local or absolute and max or min. 2. A rectangle is...

Pauls Valley Protection Service has three support departments (S1, S2, and S3) and three operating departments (P1, P2, and P3). The direct costs of each department are $30,000 for S1, $20,000 for...

The capstone assignment for BUS 460, Business Strategy, along with the assignments in this course are designed to demonstrate that students have achieved the learning outcomes established for the...

Find the most recent financial statements for Loblaws at loblaw.com and for Husky Energy at huskyenergy.com. Calculate the asset utilization ratio for these two companies. What does this ratio...

please use perpetual inventory to find cost of goods sold using the weighted average method (: A record of transactions for Thomas Company for the month of May was as follows: Purchases (units @ cost...