Search & Filtering
Find the area of the smaller loop r=2-4sin0, symmetrical with Oy.
Find the area between the curve y=1/x and y=1/x+x^2 from x=2 to x=2.
Find the area bounded by the curve y^2-3x+3=0 and the line x=4.
Find the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4.
Define magnitude
Let D: {(x,y)| x>0, y>0}. Consider two function f and g from D to R, defined by:
f(x,y) = Inx - Iny and g(x,y)= x^2+ 3y^2/(2xy)
Show that the necessary condition for the functional dependence of f and g is satisfied. Also find a functional relation between f and g
Find the mass of the object, which is in the form of a sphere of radius √5cm, centred at the origin. The density at any point is given to be constant 2.
Find two level curve of the function: f: R^2→R defined by : f(x,y)= 4x^2+ 16y^2+8
Draw their rough sketches
Find the domain and range of the function f,defined by: f(x,y,z)= x/(2y-3z); x,y,z ∈ R
Show that lim (|x| +1)= ∞
x→∞
