Find equations of the tangent plane and normal line to the surface x=3y^2+3z^2−274 at the point (-4, -9, -3). Tangent Plane: (make the coefficient of x equal to 1).

? =0

Normal line: ⟨−4, ? , ? ⟩ +t⟨1, ? , ? ⟩.

Lines p and q intersect. find the value of b. show your work. cite any theorems you use.

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

Which graph has a rate of change of zero