I attempted to look for similar problems but failed. 1. A box with an open top and a square base is to hold 20ft^2. The sides of the box cost $2 per ft^2 while the bottom costs $3 per ft^2. Find...

I attempted to look for similar problems but failed. 1. A box with an open top and a square base is to hold 20ft^2. The sides of the box cost $2 per ft^2 while the bottom costs $3 per ft^2. Find...

An ecologist needs to fence in a state park with a rectangular plot. The rectangular plot must have an additional section of fencing across its width. Find the maximum area that can be enclosed with...

The velocity function (in meters per second) for a certain particle, moving in a straight line, is v(t)=t^2-2t-8 for 1≤t≤6 A) Find the displacement of the particle over this period B)...

∫01 (x5-5x+5x)dx ∫14 √y-y/y2 dy

The count in a bacteria culture was 300 after 10 minuets and 1900 after 30 minuet. assuming the count grows exponentiall, what is the initial siz of the cultur?, find the doubling perio?, find...

The rate of growth of sales (sales per day) for a particular company is predicted to be 45e0.01t, beginning with sales of 800 items on day t = 0. Find a formula for the total number of sales...

a rectangular prism with dimensions l*w*h is expanding its length and width by4m/min and 3m/min respectively, while keeping the height the same how fast is the volume of the prism changing when...

Question 1 : Given that q(x) is a differentiable function , q'(4)=0 and q"(x)=-2x+9, then q(4) is ... **Explain and justify your answer.** Question 2: Water is being poured at...

Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm2?

A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $9 the average attendance has been 27000. When the price dropped to $8, the average attendance rose to 32000...

Find a function f(x) such that f′(x)=-2x2-1 and f(0)=1 f(x)=

let xy=4 and (dy/dt)=1 . find (dx/dt) when x=2 f(x)= ?

Find a function f'(x)=8ex-9x and f(0)=3 f(x)= ?

calc 1 pls answer asap

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/3...

A cylinder is inscribed in a right circular cone of height \displaystyle 11 inches and radius (at the base) equal to \displaystyle 6 inches. What are the dimensions of such a cylinder that has maximum...

answer asap pls!

please help answer asap

help!!! i need this answered asap

find the local max and min values of f(x)=xsinx+cosx for -pi≤x≤pi I am so stuck at how to figuring out the sign, which is important. I did take the derivative xcosx=0 then...