Surface Integrals – On a hemisphere – Exercise 4089 Post category:Surface Integrals Post comments:0 Comments Exercise Calculate the integral ∫∫SPdydz+Qdxdz+Rdxdy\int\int_S Pdydz + Qdxdz +Rdxdy∫∫SPdydz+Qdxdz+Rdxdy Where P=x,Q=y,R=zP=x, Q=y, R=zP=x,Q=y,R=z And the surface S is the outer side of the hemisphere x2+y2+z2=16,z≥0x^2+y^2+z^2=16, z\geq 0x2+y2+z2=16,z≥0 Final Answer Show final answer ∫∫SF⃗n^ds=128π\int\int_S \vec{F}\hat{n}ds=128\pi∫∫SFn^ds=128π Solution Coming soon… Share with Friends Read more articles Previous PostSurface Integrals – On a cone – Exercise 4103 Next PostSurface Integrals – On a closed domain – Exercise 4782 You Might Also Like Surface Integrals – On a closed domain – Exercise 4782 May 8, 2019 Surface Integrals – On a cone – Exercise 4103 March 17, 2019 Surface Integrals – On a plane – Exercise 4109 March 17, 2019 Surface Integrals – On a cone – Exercise 4120 March 19, 2019 Surface Integrals – On a cylinder – Exercise 4048 March 15, 2019 Surface Integrals – On a paraboloid – Exercise 4055 March 15, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ