{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Pre-Calc Homework Solutions 401

# Pre-Calc Homework Solutions 401 - Section 10.1 Quick Review...

This preview shows page 1. Sign up to view the full content.

Quick Review 10.1 1. (cos (0), sin (0)) 5 (1, 0) 2. 1 cos 1 } 3 2 p } 2 , sin 1 } 3 2 p } 22 5 (0, 2 1) 3. x 2 1 y 2 5 1 (since cos 2 t 1 sin 2 t 5 1) 4. The portion in the first three quadrants, moving counter- clockwise as t increases. 5. x 5 t , y 5 t 2 1 1, 2 1 # t # 3 6. The graph is a circle with radius 2 centered at (2, 3). Modify the x 5 cos t , y 5 sin t parameterization correspondingly: x 5 2 cos t 1 2, y 5 2 sin t 1 3, 0 # t # 2 p . 7. } d d y x } 5 } d d y x / / d d t t } 5 } 2 3 2 co si s n t t } , which at t 5 } 3 4 p } equals } 3 2 ( 2 2( ˇ ˇ 2 w 2 w / / 2 2 ) ) } 5 } 3 2 } . 8. y 5 } 3 2 } x 1 C . For t 5 } 3 4 p } , x 5 2 ˇ 2 w and y 5 } 3 ˇ 2 2 w } , so } 3 ˇ 2 2 w } 5 } 3 2 } ( 2 ˇ 2 w ) 1 C and C 5 3 ˇ 2 w . Thus, y 5 } 3 2 } x 1 3 ˇ 2 w . 9. y 5 2 } 2 3 } x 1 C . For t 5 } 3 4 p } , x 5 2 ˇ 2 w and y 5 } 3 ˇ 2 2 w } , so } 3 ˇ 2 2 w } 5 2 } 2 3 } ( 2 ˇ 2 w ) 1 C and C 5 } 5 ˇ 6 2 w } . Thus, y 5 2 } 2 3 } x 1 } 5 ˇ 6 2 w } . 10. y 9 5 } 3 2 } ˇ x w , so Length 5 E 3 0 ! 1 § 1 § 1 § } 3 2 } § ˇ § x w 2 § 2 § dx 5 E 3 0 ! 1 § 1 § } 9 4 § } x § dx 5 3 } 2 8 7 } 1 1 1 } 9 4 } x 2 3/2 4 5 } 31 3/ 2 2 7 2 8 } .
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern