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Find all the local maximum and minimum values and saddle points of the functionf(x, y) = x2 - xy + y2+ 9x - 6y + 10
elliptical path of celestial bodies
Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 2x and y = x about the line y = 4 . Solution: Firstly let's get the bounding region & t
Determine the ratio in which the line 2x + y -4 = 0 divide the line segment joining the points A (2,-2) and B (3, 7).Also find the coordinates of the point of division. [Ans:2 :
program of curve revolve and create a surface
Five years ago a business borrowed $100,000 agreeing to repay the principal and all accumulated interest at 8% pa compounded quarterly, 8 years from the loan date. Two years after
the base b of a triangle increases at the rate of 2cm per second, and height h decreases at the rate of 1/2 cm per second. Find rate of change of its area when the base and height
It is known that a radioactive material decays at a rate proportional to the amount present.If after a period of 12 years,a 2g piece of radium weighs 1.99g.How long will it be befo
what is the difference between North America''s part of the total population and Africa''s part
1/cos(x-a)cos(x-b)
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
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