Hw 14Book

ProBlems

15.3 P1014 1, 4, 7, 9, 11, 1915.5 P1028 3, 9,

Final

ToPics

room

& Time

§15.3 Integrals In Polar Co-ordinates§15.4 Surface Areas

11am Class: Saturday May 16, 7-7:20 pm Canvas & Gradescope12 Noon Class: Wednesday May 13, 9-9:20 am Canvas & Gradescope

PracTice You will be computing the volume under the surfacez = x2 + y2, above the region R, where R is the portion of theunit disc in the third and fourth quadrants. That is, R is the regionwhere x2 + y2 ≤ 1; y ≤ 0.1) a) Sketch the region R.b) Write

∫ ∫Rf dA as a type one integral.

c) Write∫ ∫

Rf dA as a type two integral.

d) Compute the volume under the surface z = x2 + y2, above R.

2) Let R be the region bounded by the curvesy = 1; y = −1 and x = −1; x = −y2.a) Sketch the regionb) Write

∫ ∫Rf dA as a type one integral.

c) Write∫ ∫

Rf dA as a type two integral.

d) Compute∫ ∫

Rx dx dy

This Week

Monday: No Lecture Tuesday: Surface Area PracticeWednesday: No LectureThursday: Old FinalFriday: No Lecture; Course Is Over!

Final

inFo Your final will be like any of the other quizzes. The day & time of your final were determined when the course started. No Time Changes, unless you live half-way across the world.