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1 determine the intervals where the function below is decreasing fx 2x3 9x2 12x 542 find the x-coodinate of the
1 the curve x t2nbsp- t y t3nbsp- 3t - 1 crosses itself at 21 determine equations of the tangent lines at that point2
consider a particle moving in a circle at a fixed radius r from the origin determine the normal and tangential
1 a cylindrical package to be sent by mail can have a maximum combined length and girth perimeter of a cross section of
consider the iterated triple integral-2int20int4-y20inty33y2 z2 dzdxdya write down an equivalent iterated triple
1 consider the followingfx x3ex2find the taylor series atnbspxnbsp 0 of the given function use suitable operations
1 consider the bounded 3-d region r bounded by the planes z x z -x and the curved surface z 1 - y2a this is a rather
1 consider componentwise addition of element of rn and scalar multiplication defind by cx 0 if c 0 x otherwise for
1 consider applying newtons method to find the rootnbspalpha 0nbsp of the equation sin x 0 find the maximal interval
1 a compute the effect of a 22 billion federal income tax cut when the populations marginal propensity to consume is
1 compute the average temperature of a wire in the shape of the helix rt cost t10 sint 0 le t le 10piif the
1-when a circular of metal is heated in an oven its radius increases at a rate of 002 cmmin at what rate is the plates
1 a boat sails directly toward a 100 - meter skyscraper that stands on the edge of a harbour the angular size theta of
1 a ball is thrown directly upward its height h in feet above the ground after t seconds is given by h t 22 80t - 16t
1 assume that you want to find the dimensions of a rectangular garden of 100 square meters for which the amount of
1 the area of a sector in a circle is given by the formula a12r2theta where r is the radius and theta is the central
1 an aquarium 6 ft long 3 ft wide and 5 ft deep is full of water recall that the weight density of water is 625 lbft3a
1 a 40 m chain weighing 3 kgm hangs over the side of a bridge how much work is done by a winch that winds the entire
1 find 0int10int1-x0int1-x-y z dzdydxnbsp2 a sheet of metal in the shape of a triangle massingnbsp10 kgnbspper square
1 the population of mice in alfred is given by pt 2188e3t where t is in years since 1986 the rate of change of the
1 find an equation of the tangent line to the curve y xradicx that is parallel to the line y 1 3x2 the gas law for an
1 minimum average cost the average cost per hour in dollars coline of producing x riding lawn mowers can be modeled by
1 find the equation of the plane tangent to the surface fxyz radicxyz at the point 1312 find the equation of the plane
1 find the equation of the tangent line to the curve y x2 at x 1this line is also tangent to a circle with center 18
1 scientist can determine the age of ancient objects by a method called raarbon dating the bombardment of the upper