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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 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
1 a kite 50ft above the ground moves horizontally at a speed of 2fts at what rate is the angle between the string and
1 a heap of rubbish in the shape of a cube is being compacted into a smaller cube given that the volume decreases at a
great scott doc brown has just bought 100 grams of plutonium 241 which has a half-life of 14 years he plans on storing
1 the graphs of the function f given in blue and g given in red are plotted above suppose that u x f x g xnbspand v x
1 given the given cost functioncx8700 440x 05x2 and the demand function px1320 find the production level that will
i given a demand function d150-2x and a supply function s8x where x is price find the x y coordinates of the