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1 find the isosceles triangle of smallest area figure that circumscribes a circle of radius 1 from thomas simpsons the
the gas equation for one mole of oxygen relates its pressure p in atmospheres its temperature t in k and its volume v
1 find the x-coodinate of the local maximum of fx x3 - 21x2 -17x2 find the absolute minimum value of the following
designing safe boilers depends on knowing how steam behaves under certain changes in temperature and pressure steam
a classic problem from calculus i is to take a wire of length l and cut it into pieces one piece is bent into a circle
in 2007 us consumption of renewable energy was 68 quadrillion btu or 68x1015 btu since the 1960s consumption has been
a 200 degree cup of coffee is placed on a table in a climate-controlled room with the temperature set at a constant 75
a package of frozen strawberries has been taken from the freezer which is at -25 degrees fahrenheit and placed on the
1 write the net ionic equation for the precipitation of aluminum hydroxide2 write the net equation for the precipitaion
1 determine whether rolles theorem can be applied to f on the closed interval a bfx 2 tan x 0 piif rolles theorem
1 determine the intervals where the function below is decreasing fx 2x3-3x2-12x182 find the x-coordinate of the local
1calculate the slope m of the line passing through the points -4 6 and 4 18 for the function illustrated in this
a 16 foot plank is leaning on the side of a wall and is being pulled up the wall at a rate of 12 ftsec by a worker on
a 120 ft chain weighing 300 lbs hangs vertically from the top of a tall building how much of the chain can be lifted to
a 12-lb weight mass m 0375 slugs in fps units is attached both to a vertically suspended spring that it stretches 6 in
consider the function fxyzxy yz2 xz3 find the gradient of ffind the gradient of f at the point 2 4 4find the rate of
1 write equations of the tangent and normal lines to the curve x3yxy4 10 at 212 find the points on the graph of the
1 write dy in terms of x and dx if y 5x22 determine the linear approximation of 212 express your answer as a reduced
1 we wish to construct a pipepline from point p to point q in the diagram below we must select the points a and b for
1 use spherical coordinatesfind the volume of the solid that lies within the spherenbspx2nbspnbspy2nbspnbspz2nbsp 25
1 use graphing technology and the method in example 5 to find thenbspx-coordinates of the critical points accurate to
1 use differentiation to approximate the maximum error in using 5 cm as the radius of a sphere to calculate its volume
a system contains 20 identical and critical components that will be replaced on failure renewal process as a result a
1 the price function for a product is pt 60 - 3t and the demand function is xt 1200 - 005t2 find rt when t802 if fx
1 at what points does the curve lt2t t5 t2gt intersects the paraboloid z x2 y22 find a paraboloa that has a curvature