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a heavy rope 40 ft long wedge and hangs over the eds 07 lbft high let x be the distance in feet below the top of the
the height and radius of a right circular can are measured as 60 m and 45 m respectively with possible errors of 01 m
a cylindrical water tank with its circular base parallel to the ground is being filled at the rate of 9 cubic feet per
two trains leave a station at 1200 noon one travels north on a track at 75 mph the second travels east on a track at 30
find the equation of the tangent line to the curve y 2 sec x - 4 cos x at the point pi3 2 write your answer in the
scenariothe design and development department associated with a power generation plant has various issues which require
a train is traveling over a bridge at 30 miles per hour a daring spy is jogging on the top of the train at 2 miles per
an object has a trajectory given by the parametric equationswhere x and y are measured in feet and t in secondslist all
an object starts t 0 at the point 2 -3 and travels along a straight line connecting to the point -1 1 where x and y
the following parametric equations trace out a loopx 7 - 32 t2y -36 t3 3t 1find the t values at which the curve
assume that the positive x-axis points east and the positive y-axis points north suppose you arc hiking on a terrain
a baseball player hits the ball and then runs down the first base line at 20 fts the first baseman fields the ball and
gasoline prices in 2008 the price of gasoline in the united states inexplicably spiked and then dropped the average
for the curve rt find an equation for the indicated plane at the given value of t rt t2 - 10i 2t - 3j 9k osculating
the vector rt is the position vector of a particle at time t find the angle between the velocity and the acceleration
consider the followingn1sigmainfin 80 9n-1a find the sum of the seriesb use a graphing utility to find the indicated
1 find a first-degree polynomial function p1 whose value and slope agree with the value and slope of f at x cfx 9
as shown in the figure aa 5 ab 6 bb 3 the minimum value of am mb is figure is not to scalekey 106if a polygon has
a particular computing company finds that its weekly profit in dollars from the production and sale of x laptop
the demand d for a new rollerball pen is given by d 0007p3 06p2 120p where p is the price in dollarsa find the rate
the equation rv 5800 v can be used to determine the heart rate r of a person whose heart pumps 800 milliliters ml of
the temperature at a point x y is tx y measured in degrees celsius a bug crawls so that its position after t seconds is
a group of environmental professionals developed the graph show the reducation in carbon monoxide in country a from
1 find the fluid force on the vertical plate submerged in water where the dimensions b and a 5 are given in meters
evaluate 3int6 4s2 ds using the trapezoidal rule and simpsons rule determinea the value of the integral directlyb the