HW5-solutions.pdf

# On the other hand d dx sec x sec x tan x thus by the

• Homework Help
• 9

This preview shows page 8 - 9 out of 9 pages.

On the other hand, d dx sec x = sec x tan x . Thus by the Chain Rule, f ( x ) = 4 sec(2 x ) · sec(2 x ) tan(2 x ) . Consequently, dy = 4 sec 2 (2 x ) tan(2 x ) dx . keywords: differential, trig function, tan func- tion, Chain Rule, 020 10.0points Use linear appproximation to estimate the value of 18 1 / 4 . ( Hint : (16) 1 / 4 = 2.) 1. 18 1 / 4 2 2. 18 1 / 4 67 32

Subscribe to view the full document.

selimoglu (afs836) – HW5 – chen – (53405) 9 3. 18 1 / 4 65 32 4. 18 1 / 4 33 16 correct 5. 18 1 / 4 63 32 Explanation: Set f ( x ) = x 1 / 4 , so that f (16) = 2 as the hint indicates. Then df dx = 1 4 x 3 / 4 . By differentials, therefore, we see that f ( a + Δ x ) - f ( a ) df dx vextendsingle vextendsingle vextendsingle x = a Δ x = Δ x 4 a 3 / 4 . Thus, with a = 16 and Δ x = 2, 18 1 / 4 - 2 = 1 16 . Consequently, 18 1 / 4 33 16 .
• Fall '07

{[ snackBarMessage ]}

###### "Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

### 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