Write the volume of the solid above the surface z = (x² + y²)'/4 and inside the sphere x? + y² + z2 = 2 as iterated integrals in cartesian, cylindrical and spherical coordinates. Then compute the volume by one of these integrals.
Write the volume of the solid above the surface z = (x² + y²)'/4 and inside the sphere x? + y² + z2 = 2 as iterated integrals in cartesian, cylindrical and spherical coordinates. Then compute the volume by one of these integrals.
Write the volume of the solid above the surface z = (x² + y²)'/4 and inside the sphere x? + y² + z2 = 2 as iterated integrals in cartesian, cylindrical and spherical coordinates. Then compute the volume by one of these integrals.
Transcribed Image Text:4. Write the volume of the solid above the surface
z = (x2 + y?)/4 and inside the sphere x² + y? + z? = 2 as
iterated integrals in cartesian, cylindrical and spherical
coordinates. Then compute the volume by one of these integrals.
More advanced version of multivariable calculus. Advanced calculus includes multivariable limits, partial derivatives, inverse and implicit function theorems, double and triple integrals, vector calculus, divergence theorem and stokes theorem, advanced series, and power series.
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