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consider the region bounded by the first arch of y sin x and the x-axis find the volume of the solid whose base is
consider the shaded region bounded by y fx and y gx as shown set up the integral needed to find the volume of the
consider the region bounded by y -3x6 y 3 radicx and the x-axis sketch and shade in this region set up the integrals
suppose that a drop of mist is a perfect sphere and that through condensation the drop picks up moisture at a rate
a cube is increasing in volume at a rate of 10cm3sec find the rate of change of the surface area of the cube when one
water is leaking from the bottom of a conical cup which is 4 inches in diameter and 6 inches deep if the water leaks
find the tangent line to the following curves at the indicated pointsa 2x2 y22 25xy at the point 1 2b x2 cosy sin2y
the percent of concentration of a certain drug in the bloodstream x hr after the drug is administered is given bykx 3x
let fxy 3x2 - y 5 perhaps the function represents temperature distribution on the plane and let p be the point with
let d be the triangular region in the xy-plane bounded by the linesy x 3x y 4 and x 3y 12 see figure using the
show that series n1suminfin -1n 2n 112 is conditionally covergenta use one of the comparison tests to show that this
let n0phinxinfin be a family of orthonomal polynomials with respect to the weight function wx show that the nth degree
a show that the following quadrature formula has degree of precision equal to 3-1int1 fx dx f-radic3 3 f -radic3 3b
show that following differential is exactdz yexy dx xeey dyb calculate the line integralnbspintc dz on the line
a show that the fllowing fuction is continuous when k 52 then sow that f is not differntiable at x2fx 6x - 2 for
1 use the acceleration vector at 3i - 4j v0 i j r0 k to find the velocity and position find the position at t 22
1 sketch the curve represented by the vector-valued function and give the orientation of the curve rt 2sin ti tj
part a-1 let f x isin r 0 lt x for each i isin i letdi x y isin r x r0 lt x lt i and 0 lt y lt 1ifind the following
answer the following based on the graph belowa is f-2 positive negative zero or undefinedb is f-2 positive negative
the shape is given by the region eclosed between the loops of r 21 2sin theta1 at what values of theta do the two
computercalculator question the curve ye03x intersects y 6 - x2 at two places use your calculator or
determine the highest real root of fx 2x3 - 117x2 177x - 5 iteration using the secant method use x-i 3 and x0
you say goodbye to your friend at the intersection of two perpendicular roads at time t0 you drive off north at a
a salt-water mixture is being added to a tank at 4 lmin the mixture has a concentration of 03 kgl the tank is initially
the shipments of lica digital singlelens reflex cameras slrs are projected to be nt 6t2 200t 4 radict 20000 0 le t