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...

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.

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

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.

calculus, differentiability

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

#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) = 28/(x^2 + 3)

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...

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...

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

Calculus Question - Please help An object is thrown from a height H above an uneven ground described by a height function h(x). Suppose that the object can be thrown with maximum velocity v at...

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...

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 11 cm. (Note the answer...

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=______...

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 :)

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...