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on the tower of terror ride at walt disney world riders are taken to the top of a 200 foot tower and then dropped into
after an antibiotic tablet is taken the concentration of the antibiotic in the bloodstream is modeled by the functionct
a calculate the work required to pump all of the water out over the top of a full tank the shape of the tank is an
a happy heat-loving bug is wandering on a hot plate the temperature at any point on the plate is given bytx y
1 determine where the graph of the function is concave upward and where it is concave downwarda gx 5x3 - 7x b gx -x2
1 the standard electric voltage in a 60-hz alternating-current circuit is given by v 170 sin 120 pit where t is the
1 a boat is headed across a river with a velocity relative to water that can be represented as 65 17 mih the velocity
1 find a particular cosign equation for the sinusoid function graphed in the figure below give the amplitude period and
consider the function f x x - 223 3radicx -22 shown with f x 23 x - 2-13 2 3 3radicx - 2a circle all intervals
1 consider the function fxyz x2 3yzwhat is the rate of change of this function at the point 324 in the direction
two particles are traveling through space at time t the first particle is at the point1 - 2t 2 - 2t 5 2tand the second
alan earns 85000 per year and is considering a second job that would earn him another 10000 annually at what rate will
according to kinetic theory the molecules of ordinary matter are in constant random motion the enegy e of a molecule is
1 evaluate the integral intintr x2y x2 y2 da where r is the portion of the unit disk in the first quadrant2 let e be
find dydx by implicit differentiation show all steps while completing the problemx2yy2x
a spherical tank is filled with water the tank has a radius of 3 m and a spout that is 1 m tall a find the work
1 find all local maximummininium points and values and points of inflection in 16pi 116pi of the functionfx 12x - sin
consider the plane p given by the equation 3x 4y 1 - z - 5 0 and the line lt p0 tva find a value of v that makes
1 find the dimensions of a cylinder of volume 1 m3 of minimal cost if the top and bottom are made of material that
1 determine the largest domain omega on which the function fz log z z is analytic where log z is the principal branch
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