# 8th - MATH-119 WEEK 8 RECITATION QUESTIONS 1 Find the area...

This preview shows pages 1–2. Sign up to view the full content.

MATH-119 WEEK 8 RECITATION QUESTIONS 1. Find the area of the shaded region 2. Sketch the region enclosed by the given curves.Decide whether to integrate with recpect to x or y.Draw a typical approximating rectangle and label its height and width.Then ﬁnd the area of the region. a ) x = 2 y 2 , x + y = 1 b ) x = 1 - y 2 , x = y 2 - 1 3. Use calculus to ﬁnd the area of the triangle with the given vertices. (0 , 0) , (2 , 1) , ( - 1 , 6) 4. Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed line.Sketch the region,the solid,and a typical disk or washer. a ) y = x 2 , y 2 = x ; about the x -axis b ) y 2 = x , x = 2 y ; about the y -axis c ) y = x , y = x ; about y = 1 5. Refer to the ﬁgure and ﬁnd the volume generated by rotating the given region about the speciﬁed line. 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
a ) R 1 about AB b ) R 2 about OC 6. Find the volume common to two spheres,each with radius r,if the centre of each sphere lies on the surface of the other sphere.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

8th - MATH-119 WEEK 8 RECITATION QUESTIONS 1 Find the area...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online