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Calculus
Show the COMPLETE solution on the given problems.
1. Evaluate the line integral ∮2
1. Evaluate the line integral ∮2
Calculus
Show the complete solution on the given problems.
1. Find the equation of the tangent plane and the parametric equations of the normal line to
1. Find the equation of the tangent plane and the parametric equations of the normal line to
Calculus
Show the complete solution on the following questions.
1. Evaluate "\\nabla \\cdot (F \\times G)," given "\ud835\udc39(\ud835\udc65,\ud835\udc66,\ud835\udc67) = \ud835\udc66\ud835\udc67 \\vec{\ud835\udc56} + \ud835\udc65\ud835\udc67\\vec{ \ud835\udc57} + \ud835\udc65\ud835\udc66\\vec{ \ud835\udc58}" and "\ud835\udc3a(\ud835\udc65,\ud835\udc66,\ud835\udc67) = \ud835\udc65\ud835\udc66 \\vec{\ud835\udc57} + \ud835\udc65\ud835\udc66\ud835\udc67\\vec{ \ud835\udc58}"
Calculus
Show the complete solution to the given problem.
1. Sketch the vector field "F(x,y)=y\\vec{i}." .
Calculus
Differentiate w.r.t x
y= √{x+√(x+√x)}
y= √{x+√(x+√x)}
Calculus
Find the length of the portion of the parabola x=3t^2, y=6t cut off by the line 3x+y-3=0
Calculus
Bacterial cells grow at a rate proportional to the volume of dividing cells at that moment. If V0
is the volume of dividing cells at any time t . Find the time at which the volume of the cells will
be double its original size.
is the volume of dividing cells at any time t . Find the time at which the volume of the cells will
be double its original size.
Calculus
solve by method of undetermined coefficient : y'' + 2(y') + 5y = x(e^-x)cos(2x)
Calculus
Find the volume of the ellipsoid generated by revolving the ellipse
with the lengths of Major and Minor axis respectively as 20cm and
10cm about its major axis.
with the lengths of Major and Minor axis respectively as 20cm and
10cm about its major axis.
Calculus
Trace the curve y= cube root of x^2 -1 and state all the properties you use to trace it.
