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express the vector field F =zxi^+(x^2+y^2)j^+(x/z)k^in cylinderical polar coordinate.
Show that for two scale field f and g : ∇×(f ∇g)+∇×(g∇f)=0
Find the area enclosed by curve r= a(1-cos theta)
Is the curve r = 2 sin 3theta symmetric about the
line theta = π/2 ? Justify your answer.
line theta = π/2 ? Justify your answer.
Find the volume of the solid of revolution
obtained by revolving the area under the
3 curve y = 2 + x^3
between x = 0 and x = 2
about the x-axis. Draw a rough sketch.
obtained by revolving the area under the
3 curve y = 2 + x^3
between x = 0 and x = 2
about the x-axis. Draw a rough sketch.
Find the length of the curve given by x = t^3,
y = 2t^2 in 0<= t/<=1. What is the slope of the
curve at t = 1/2 ?
y = 2t^2 in 0<= t/<=1. What is the slope of the
curve at t = 1/2 ?
Every continuous function is also
differentiable. True or False
differentiable. True or False
Find the domain of the function
f(x) = √{(4-x^2)/ [x]+ 2}
Where [x] is greatest integer function
f(x) = √{(4-x^2)/ [x]+ 2}
Where [x] is greatest integer function
Find the area of a loop of the curve
r = a sin 3theta
r = a sin 3theta
trace the area between the curv'es r: = 2 and
r = 2 sin 3theta and thm find this area.
r = 2 sin 3theta and thm find this area.
