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question which point on the parabola y x2 is nearest to 1 0 find the coordinates to two decimals hint minimize the
question the cross-section of a tunnel is a rectangle of height h surmounted by a semicircular roof section of radius r
question 1 a open-topped rectangular box with a square base x by x cm and height h cm2 a closed cylinder with radius r
question 1 a function of the form y axe-bx2 with a global maximum at 1 2 and a global minimum at -1 -22 find the
question a find all critical points of ft at2e-bt assuming a and b are nonzero constantsb find values of the
question 1 what effect does increasing the value of a have on the graph of fx x2 2ax consider roots maxima and minima
question a drug is injected into a patient at a rate given by rt ate-bt mlsec where t is in seconds since the
question an object at a distance p from a thin glass lens produces an image at a distance q from the lens where1p 1q
question find formulas for the functions1 a cubic polynomial with a local maximum at x 1 a local minimum at x 3 a
question a landscape architect plans to enclose a 3000 square-foot rectangular region in a botanical garden she will
question a rectangular swimming pool is to be built with an area of 1800 square feet the owner wants 5-foot wide decks
question the mass of a cube in grams is m x3 01x4 where x is the length of one side in centimeters if the length is
question a fixed costs are 3 million variable costs are 04 million per item write a formula for total cost as a
question 1 the difference between two numbers is 24 if both numbers are 100 or greater what is the minimum value of
question 1 the average of two nonnegative numbers is 180 what is the largest possible product of these two numbers2 the
question a for a a positive constant find all critical points of fx x - a b what value of a gives a critical point at
question a find all critical points and all inflection points of the function fx x4 -2ax2 b assume a and b are
question the graphs of the function fx xx2 a2 for a 1 2 and 3 are shown in figure without a calculator identify the
question when you cough your windpipe contracts the speed vr with which you expel air depends on the radius r of your
question the followinga find f and fb find the critical points of fc find any inflection pointsd evaluate f at the
question at time t a projectile launched with angle of elevation alpha and initial velocity v0 has position xtv0 cos
question two particles move in the xy-plane at time t the position of particle a is given by xt 4t - 4 and yt 2t - k
question a an object moves along the path x 3t and y cos2t where t is time write the equation for the line tangent to
question the position of a particle at time t is given by x et 3 and y e2t 6et 9a find dydx in terms of tb find