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1 a 12 foot ladder is leaning against a wall if the top slips down the wall at a rate of 2 fts how fast will the foot
a determine the intervals where the function is decreasing fx2x3-3x2-12x18b find the x-coordinate of the local maximum
suppose the formula for wind chill c in degrees fahrenheit is given by c 357606216t- 3575v016 04275tv016 where vis the
1 show that fx 3radicx has a vertical tangent line at o o and no horizontal tangent hues anywhere2 consider the curve
find the point on the parabola shown below that is closest to the point 5 0a express the square of the distance between
the hypotenuse of a right triangle has one end at the origin and one end on the curve yx x3e-5x with x ge0 one of the
the strength of a rectangular beam is directly proportional to the product of its width w and the square of the depth
the population of a country dropped from 528 million in 1995 to 458 million in 2008 assume that pt the population in
joanna uses her credit card to finance a 800 purchase her card charges an annual interest rate of 2025 compounded
at a price of x dollars the demand in thousands of units for a certain music player is given by the demand function q
the accompanying figure depicts a racetrack with ends that are semicircular in shape the length of the track is 880 ft
show all of your work and reasoning remember to check the endpoints1find the radius of convergence and interval of
graph window x -02 to 63831853071796 y -55 to 55start graph color bluexy0011562-2193-01441165-3386-0297087the graph of
a microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of
a cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup the material for the sides of the
a piece of cardboard measuring 12 inches by 11 inches is formed into an open-top box by cutting squares with side
a closed rectangular box with a volume of 16000 cm3 is made from two kinds of materials the top and bottom are made of
goal to move that limthetararr0 sin theta theta 1 this limit is essential to proving that the derivative of sinx is
table automobile populationyearcarsyearcars1990193120062508199520542007254420002258200825592005247420092542a use the
consider the polar graphs r 1 - sin theta and r sin theta shown in the figure belowa find the polar coordinates r
consider the two lines in the plane which are defined by the equations x 2y 2 and x 2y 4 find the linear function f
a bicycle riders right foot presses down on the bicycles right pedal but the force depends on the position of the
find the length of the cardioid xt 2 cos t - cos 2t yt 2 sint - 2sint - sin 2t for 0nbsple t le
consider maclaurins trisectrix xt t2 - 721t2 yt tt2 - 31t2a find the point on the curve where the curve crosses
a triangle with area of 30 sq in is cut form the corner of a square of side 10 in if the centroid of the remaining