A mother brings her 8 week old child in for an examination a…

A mother brings her 8 week old child in for an examination and says, “My daughter rolled over against the wall, and now I have noticed that she has this spot that is soft on the top of her head. I think there is something wrong.” What is the nurse’s best response?

Let QQ be the solid bounded by the paraboloid z=x2+y2z=x^2+y…

Let QQ be the solid bounded by the paraboloid z=x2+y2z=x^2+y^2 and z=16z=16 with SS as its boundary surface oriented outward as usual. And let F→=\vec{F}=.a) Set up and simplify, with bounds, but do not evaluate, the integrals ∫S∫F→∙N→ dS\int_S\int{\vec{F}\bullet\vec{N}\ dS}Hint: the flat top of the solid is its own function and requires its own integralb) Use the divergence theorem to set up and evaluate the integral ∫∫Q∫∇∙F→ dV\int\int\limits_Q\int{\nabla\bullet\vec{F}\ dV}

Type your answers in as best you can. Avoid decimals: leave…

Type your answers in as best you can. Avoid decimals: leave your answers with square roots and/or fractions if applicable. There is a math editor if you click the ⊕\oplus button. Don’t forget to upload your work through the provided link in blackboard or via email, even if you show it here to your recording, because that’s how I will be grading your exams.