let f(x)=sin(x)+cos(x)+tan(x)+arcsin(x)+arccos(x)+arctan(x). if m&m are maximum and minimum values of f(x), then thier arithmetic mean is equal to

let f(x)=sin(x)+cos(x)+tan(x)+arcsin(x)+arccos(x)+arctan(x). if m&m are maximum and minimum values of f(x), then thier arithmetic mean is equal to

Golf balls cost $0.90 each at Jerzy’s Club, which has an annual $25 membership fee. At Rick & Tom’s sporting-goods store, the price is $1.35 per ball for the same brand. Where you buy...

The constrained relative maximum of a function f(x,y) with the constraint x^2-7x+2y=16. The constrained relative maximum occurs when x = 0. What is the y-value for the point where the constrained...

graph the function

f(x)= 4x^2-8x+3

Ramon wants to fence in a rectangular portion of his back yard against the back of his garage for a vegetable garden. He plans to use 68 feet of fence, and needs fence on only three sides. Find the...

A hall charges $30 per person for a sports banquet when 200 people attend. For every 10 extra people that attend, the hall will decrease the price by $1 per person. What number of people will maximize...

If s=19-(5+r)3 , for what real value of r will s have its maximum value?

The revenue, R(x), of producing and selling x Awesome Hearing Aids is modeled by the function R(x) = -4 x^2 + 51 x How many hearing aids need to be produced and sold in...

Find the maximum of f(x,y)=xy on the constraint curve (x+1)2+y2=1.

The demand curve for a product is given by q equals 1000 minus 2 p^ 2 where p is the price. Find the price that maximizes revenue for sales of this product.

Let z=(x2+y2)sin(2x+y). Show that (0,0 is a critical point. Is it a local max or min?

Let h and g have relative maxima at x0.

Caresia is an artist who works at a her shop drawing “watercolor portraits.” She charges $20 per portrait and she has been averaging 30 portraits per week. She decides to increase the price, but realizes...

A bakery is making whole-wheat bread and Apple bran muffins. For each batch of bread, they make $35 profit. For each batch of muffins, they make a $10 profit. The bread takes four hours to prepare...

The back of Dantes property is a creek. Dante would like to enclose a rectangular area using the creek as one side and fencing for the other three sides to create a corral. If there is 420 feet of...

Applied Max/Min (25 points) a. You have $2000 dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom costs $5 per foot and...

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then it's height h after t seconds is given by the equation h(t) =-16t2+128t(if...

F(x)=1/3x^3+x^2-8x+2; (-1,3)

Consider the function f(x)=2x2−2x+6, 0≤x≤6. The absolute maximum of f(x) (on the given interval) is _________ and the absolute minimum of f(x) (on the given interval) is __________....