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1find the area of the region bounded by the graph of y x2 - 5x 6e2x and the x-axis2find the volume of the solid
consider the vector field fx y z 2xyi x2 2yzj y2 ka calculate the curl of fb calculate the divergence of fc how does
3 let c be the curve with parametrization rt cos t sin t 2radic3tpi and let s be the sphere of redius 2 centered at
given the limit statement limxrarr0 1x2 infina write the inequalities fx gt m andx-altdelta as they pertain to this
consider the graph of the function fx -2x2 5x -1 2x - 11 what is the y-intercept of the graphfor the following 3
fx 6x2 x29instruction if you area asked to find a function enter a function if you are asked to find x- or y-values
discussion 1 - please answer all parts of the following questions you must show all work1 lumyn electronics is a family
1 let gx y z ex y z ln y calculate the gradient of g2 use the methods of this section to find an equation for the
you just opened your new bagel shop your financial advisors studied the market and gave you the following equation for
let fx y x2 y and let crarrt et e-ta compute ddt fcrarrt using the chain ruleb compute ddt fcrarrt without using the
when a cold drink is taken from a refrigerator its temperature is 5degc after 25 minutes in a 20degc room its
1 the cumulative sales 5 in thousands of units of a new product after it has been on the market for t years are modeled
we might think that a ball that is dropped from a height of 15 feet and rebounds to a height 58 of its previous height
1 determine all binary cyclic codes of length 4 for each code provide generator polynomial check polynomial generator
an oil company discovered an oil reserve of 160 million barrels for time t gt 0 in years the companys extraction plan
consider the given curves to do the followingxy 7 x 8 - y-12use the method of cylindrical shells to find the volume v
the height h in feet of an object shot into the air from a tall building is given by the function ht 640 80t - 16t2
a particle moves according to a law of motion s ft t3 -9t224t t ge 0 where t is measured in seconds and s in feetfind
suppose the dollar cost of producing x video cameras is cx 500x - 0008x2 10- 8x3estimate the marginal cost at
the half-life of plutonium-241 is approximately 13 yearsa how much of a sample weighing 8 g will remain after 90 yearsb
for the graphs of fx cos x and gx sin 2x on the interval 0le x le pi2a calculate the points of intersection of the
set up and evaluate the definite integral for the volume of the solid generated by revolving the region bounded by the
1 for fx y x3y2 2xy sinxy compute fx fy fxx fyy and fxy2 for fx y 4x 3y - xy answer the followinga nablaf2 1 b
suppose in a housing project a sociologist passes out a questionnaire to the residents in which she asks each resident
1 find the horizontal and vertical asymptotes of the curvey 8 x4 x2 - x42 find the limit if it existslimxrarrinfinx