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the area of a circular sunspot is growing at a rate ofnbsp800nbspkm2sechow fast is the radius growing at the instant
the radius and height of a tank cannot exceed above 5m and 12m respectively it is possible to construct a tank with a
1 suppose total revenue for a product is defined rx 64x - 4x 2 where x is the number of units solda using your
a man leaves point a at 200 pm and walks south at 4 mph at 230 pm a second man leaves the same point and walks east at
suppose thatnbspz x3 y2 nbspwhere both x and y are changing with time at a certain instant when 1 x and 2 y x is
suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter that is 16 cm high
a camera is mounted at a point 3000ft from the base of a rocket launching pad if the rocket is rising vertically at 880
a baseball diamond is a square whose sides are 90 ft long suppose that a player running from second base to third base
johnny is designing a rectangular poster to contain 12in squared4-in margin at the top and bottom and a 3-in margin at
find the number b such that the line y b divides the region bounded by the curves y x2nbspand y 4 into two regions
a circular above-ground swimming pool has anbsp9-foot radius and may be filled to a maximum depth ofnbsp4nbspfeet if
indicate the x-intercepts critical points intervals of increase and decrease and local max and min values of
1 how long will it take an investment ofnbsp2000nbspto double if the investment earns interest at the rate ofnbsp9year
having trouble answering this calculus problemthe manager of a large apartment complex knows from experience that 110
1 find all constant solutions to the differential equation dydx xy2 show that yx cex22 is a solution to the
a woman 5 ft tall walks at the rate of 35 ftsec away from a streetlight that is 12 ft above the ground at what rate is
find the area of the largest rectangle with one corner at the origin the opposite corner in the first quadrant on the
two tugboats are towing a large ship into port the larger tug exerts a force of 3200 pounds on its cable and the
sketch the region bounded between the given functions on the interval and calculate the centroid of each region use
anbspthe following function is an example of a not nice function using your graphing calculator eg ti 83 or 84 or if
find where the graph of fx x4 6x3 24x2 24 is increasing and decreasing and where its graph is concave up and
find the position vector of a particle whose acceleration vector is a 6t 2 with an initial velocity vector 0 0 and
let fx xexa find the critical valuesb find the intervals of increasing decreasing and classify the extremac find the
1you are performingnbsp6nbspindependent bernoulli trials withnbsppnbspnbsp01nbspandnbspqnbspnbsp09 calculate the
the figure below shows the rate of changenbsprt in the quantity ofnbspgasoline contained in a fueling station storage