calculus

can the expresion -xy^2-y^2 simply to -x

An isosceles trapezoid is inscribed under the graph oof y =cos x. what are the dimensions which will give the greatest area?

A man 2 m tall is walking away from a lamppost which is 6m tall at a rate of 2 m/s. Find the rate of change of a)the tip of the shadow b) the length of his shadow

cos^-1(cos15pi/6)

lim x-> 2- = 2x-x^2/x-2

int_(1)^(2) 6/t^4 dt

This is problem 16 Section 4.6 page 246. A closed box with square base is to be built to house an ant colony. The bottom of the box and all four sides are to be made of material costing dollar/sq ft, and the top is to be constructed of glass costing dolla...

please help, thanks Simplify (9^x . 3^4x)^2

f(x,y) = 3x + 3y Show that for any epsilon in: |2x + 3y - 5| < epsilon There is a delta value: sqrt((x - 1)^2 + (y - 1)^2) < delta Solve for delta in terms of epsilon ------ I understand that this is a proof that the limit of f(x,y) as (x,y) -> (1,1) is 5...

if y=cosx.sinx find dy/dx

sin(cos^-1(x/2))= draw right triangle to simplify

suppose f(x) = (4/5)x^2 + cosx for x≥0 and g is the inverse of f. find g'(1.5) to the nearest thousandth. would I just swap x and y and then find the derivative of that equation to find g'(x) and then plug in g'(1.5)? When I swapped x and y I got x=(4/5)y...

Sorry, f(x,y) = 2x+3y, not 3x+3y

1.95*12-15.60

33.33KJ