The sum of the perimeters of an equilateral triangle and a square is 24. Find the dimensions of the triangle and the square that produce a minimum total area.

The sum of the perimeters of an equilateral triangle and a square is 24. Find the dimensions of the triangle and the square that produce a minimum total area.

A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must contain 80,000 square meters in order to provide enough grass for the herd. No fencing is needed...

A rectangular page is to contain 38 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.

Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 264 meters

Find two positive numbers satisfying the given requirements. The sum of the first and twice the second is 80 and the product is a maximum.

calculus, differentiability

#1 f(x) = x [Times the SQUARE ROOT OF(x+24)] #2 f(x)...

Determine the open intervals on which the graph is concave upward or concave downward. f (x) = (x^2 + 2)/ (x^2 − 4)

Determine the open intervals on which the graph is concave upward or concave downward. f(x) = 28/(x^2 + 3)

1. A roast turkey is taken from an oven when its temperature has reached 185 degrees and is placed on a table in a room where the temperature is 75 degrees. (Round your answer to the nearest whole...

1. A Ferris wheel with a radius of 10m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 18m above ground level? 2. Sand falls from...

f(x)= cx^2 + 2x if x < 3 and x^3 - cx if x ≥ 3

Consider the function f(x)=5–7x2, -3≤X≤1 The absolute maximum value is ______ and this occurs at x=______. The absolute minimum value is _____ and this occurs at x=______...

The altitude of a triangle is increasing at a rate of 3000 centimeters/minute while the area of the triangle is increasing at a rate of 1500 square centimeters/minute. At what rate is the base of...

Rectangle R = {𝟎 ≤ 𝒙 ≤ 𝝅/𝟐; 𝟎 ≤ 𝒚 ≤ 𝝅/𝟒} Find the volume of the region bounded above by the surface z = 2 sin x cos y and below by the rectangle R. Thank you so much if you answer...

1. Lumyn Electronics is a family owned business. The company sold 128 TV remote controls in July and incurred a total cost of $2,800. In November they sold 248 TV remote controls and incurred a total...

the limits of the integrals are ln 2 to 0 and ln 5 to 1 and (2x + y) is to the power of e Thank you do much if you could answer this :)

Not necessarily the answer, just confused as to what the question is asking me! So if possible steps to arrive at the answer would be much appreciated! Thank you! rewritten: simplify...

The number of malaria parasites (p) in the blood h hours after a patient takes the medication is modelled by the function: p = 200 / [0.9 + 0.1e^(2h)] a. what is the initial number...

Let F(x)=f(x6) and G(x)=(f(x))6 . You also know that a5=13, f(a)=2, f'(a)=4, and f'(a6)=13. Find F'(a) and G'(a)