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a bug is traveling along a path on the coordinate plane and its position given by the equation ft t sin t 2a
1 let z fxy be implicitly defined by xz radic3x2 y - z2 find the equation of the tangent plane and the equation of
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1 evaluate the double integralintintd 3y2 da d is the triangular region with vertices 0 1 1 2 4 12 find the volume of
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a plane flying at a constant speed of 350 miles per hour is travelling at an elevation of 25 miles over the head of an
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person a starts at the origin and moves west at 60 mph person b starts 200 miles north of the origin and moves south at
perko manufactures and sells coffee cups graphs of the revenue and cost functions are shown below both revenue and cost
a peregrine falcon is circling looking for prey the position of the falcon at time t is given by the vector-valued
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a particle moves along a straight line and its position at time t is given by st 2t3 - 21t2 60t where s is measured
solve the 2d wave equation of a rectangular vibrating membranepart2upartt2 c2 part2upartx2 part2uparty2 0 lt x lt l 0
we know that the space r2 is two-dimensional mathematically this means that we can generate any vector in r2 using two
part 1 air pressure decreases at a rate of 3 pa pascals per kilometer in the eastward direction in addition the air
a parametrized curve is given by rt 3cost 5sint 4cost1 atnbspt pi4 determine the vectornbsprrarrt x rrarrt first
parametrization for a line integral not sure if im parametrizing the curve correctly since its in 3 space-- can i
an open-top box is to be made from a square piece of cardboard that measures 6 inches by 6 inches by removing a square
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an oil tank is to be drained for cleaning there are vt gallons of oil left in the tank t minutes after the draining
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an object is moving with velocity in ftsec v t t2 - 9find the displacement and total distance travelled from t0 to