Using Maclaurin's series expand tan x up to the term containing x5
Find the volume of sphere x2 + y2 + z2 = a2 using triple integrals.
Find the volume bounded by xy- plane, the cylinder x2+y2= 1 and the plane x+y+z = 3
Find the volume in the positive octant bounded by the plane x+2y+3z =4 and the coordinate planes.
A circular hole of radius b is made centrally through a sphere of radius a . Find the volume of remaining sphere.
Find the centroid of the upper half of the circle x2+y2= a2
Find the area bounded between the curve y2= 4x and x2= 4y using Green's theorem.
Using Green's theorem in xy plane find the area of the region in the xy plane bounded by y3 = x2 and y=x .
Find the area of a circle of radius a using Green's theorem.
Form the differential equation by eliminating a and b from y =a tan x + b sec x.
Express x5 in term of legendre polynomials.
Find the differential equation of all spheres whose centres lie on the Z-axis.
Form a partial differential equation by eliminating the arbitrary constants a,b,c from z = ax+by+cxy
Find a partial differential equation of all spheres of given radius.
Find the complete integral of p+q = sin x + sin y
Expand sin x as a finite series in powers of x , with remainder in Lagrange's form. Hence find the series for sin x .
Using Maclaurin's series expand the following function in powers of x
esin x
If xy = 4 , find the maximum and minimum value of 4x + 9y
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Evaluate :
∫2xcos(x2 – 5).dx
If the sum of 14 terms of an A. P is 1050 its first term is 10 find 20th term ?
Diagonals of a quadrilateral 30 cm long and the perpendicular drawn from the opposite vertices are 5.6 and 7.4 cm find the area of the quadrilateral.with steps ?
Find the sum of the integers between 10 and 30 including 10 and 30 which are not divisible by 3.
A cyclic quadrilateral pqrs are where PS equals to PQ and angle SPQ is 70 degree find angle psq