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consider the parametric equationsx cos t - sin ty cos t sin t 0nbsple t le 2pia eliminate the parameter t to find a
a hot air balloon rising vertically is tracked by an observer located 5 km from the lift-off point at a certain moment
a manufacturer of precision digital switches has daily cost c and revenue r functions of cx 10000 5x and rx 7x
1 find the points of inflection of the graph of the function if an answer does not exist enter dne fx 8 sin x 8 cos x
this problem asks for taylor polynomials for fx in1 x centered at a 0 show your work in an organized waya find the
heart excitation a simple model for the time xt it takes for an electrical impulse in the heart to travel through the
use spherical coordinates evaluate intigrate intigrete intigrate e x2 y2 dv where e lies between the spheres x2 y2
problem - evaluate intintd xy da where d is the region bounded by y x -1 and y2 2x 6 by the following the stepsa find
let f xy x2 sin2ya find the rate of change of f at the point 1 pi6 in the direction 4 - 3b find the vector u that
1 some bacteria can sense the nutritional gradient and will move in the direction of higher concentration of nutrients
a building has a rectangular base with opposite corners at 1 2 and 3 8 the roof is the graph of fx y x sin y x 2
a continuous and differentiable polynomial functionis defined as followsy fx 2x3 ax2 bx ca give the x-values
the displacement of an oscillating object as a function of time for two cycles of a function is shown belowa what is
at the pet fair darlenes dog weighed 5 times as much as leahs doog together the dogs weigh 84 pounds how much did each
we define the linear de for x gt 0x2y axy by 0use the substitution u lnx to transform the equation to the
1a recent article in the myrtle beach sun times reported that the mean labor cost to repair a color television is 90
a chandelier was marked up 150 from an original cost of 96 last friday tamir bought the chandelier and paid an
calculate the mass of the solid contained by the ellipsoid x2a2 y2b2 z2c2 1 given constant mass density beta hint
a in this question we are going to derive an integral formula for surface area consider a surface 2 fx y defined over
newgroveton is a community of 445000 in the most recent year there were 750 new cases of disease a in the community
angle of elevation a fish is reeled in at a rate of l foot per second from a point 10 feet above the water see figure
in a system the input signal xt is related to the output signal yt byyt -infinintinfin ht - tau x tau dtau for all
use composition to show whether or not the given function are inverses1 fx -3x 12
the parametric equations and parameter intervals for the motion of a particle in the xy-plane are given below identify
the expression 1450x can be used to find the total cost for x tickets on family night for admission and the movie what