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if a rock is thrown upward on the planet mars its height in meters t seconds later is given by ft 10t - 2t2a find the
find the centroid of the solid region which lies above the cone z radicx2 y2 and below the plane z 6 the centroid of
find the unit tangent vector tt rt t2i tj 4k p9 3 4 find a set of parametric equations for the line tangent to the
find all maximum points minimum points and points of inflexion using differentiation techniques for the function fx x3
find the open intervals on which the curve given by the vector-valued function is smoothrt eti - e-tj
if we define a hash function or compression function h that will hash an n-bit binary string to an m-bit binary string
find the arc length parameter along the curve from the point where t 0 by evaluating st 0intt vtau dtaurt 5cos ti
when a charged capacitor is connected to earth it discharges and the voltage v across it will decrease according to the
when mixing a certain cocktail a barperson starts with a 5 litre solution of 10 alcohol into this solution the
a tank has the shape of an inverted hemisphere half sphere with height and radius 2 metres it is filled to the top with
use a trigonometric identity to evaluate intsin2 x cos2 x dx then use this to find the volume of the solid that is
the mean life m of an atom in a radioactive substance is given bym k 0intinfinte-kt dtwhere k is a constant for the
part 11 find the centroid of the system consisting of a mass of 1 at 9 -2 a mass of 6 at 3 0 a mass of 4 at 9 -7 and a
consider the transport equation ut 4ux 0 on the grid below sketch seven different characteristic curves for the
without integrating find an explicit expression for each integrala 0intinfine-s 5t dtb 0intinfine-st sin 3t dtc
the number in millions of people in the us living below poverty level is shown for selected years find a degree 3
1 find the curvature of the curvex 3 cos t y 3 sin t z 4tat t pi6 by calculating ts2 given a position vectorrt lt
a faucet is turned on and water flows out at a rate ofvt t3 - frac12 t2 4 gallons per minutewherenbsptnbspis the
problem 1 between the new film the martian potential spoiler alert and nasas recent announcement that liquid water
plastics engineering inc a developer of advanced belt drive components recently began manufacturing sprockets made of
verify gausss theoremintvolumenbspnablararr middot frarrdv intsurface frarr middot n dafor the functionfrarr r2 sin
1 first for a sample of size n we need to divide the area of our pdf into n 1 region with equal area in this case we
if f is a continuous function of two variables x isin r and y isin r defined over some region d isinr2 then the average
let dt be the length of the tth day of the year 2013 in mumbai india measured in hours from sunrise to sunset three
question 1 find the y for the following equations-a y 12x2 - 12e2xb y lnx3 4x13c y 2x31ex2d y x2e2x