# GHW7 - (b What is the percentage error Section 4.1 Maximum...

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

Math 2413 Graded Homework # 7 GHW7 17 October 2011 Due Monday 10/24 in Lecture Work to be done in Blue book per syllabus Section 3.10: Linear Approximations and Diﬀerentials 1. (6 pts) Find the linear approximation of the function f ( x ) = 3 1 + x at a = 0 and use it to approximate 3 0 . 95 and 3 1 . 01. 2. (4 pts) Find the diﬀerential dy for y = cos πx and evaluate it x = 1 3 and dx = - 0 . 02 and round your results to 3 decimal places. 3. (6 pts) One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 o , with a possible error of ± 1 o . (a) Use diﬀerentials to estimate the error in computing the length of the hypotenuse.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (b) What is the percentage error? Section 4.1: Maximum and Minimum Values 4. (12 pts) Find the absolute maximum and absolute minimum values of the following functions at the given intervals: ( a ) f ( x ) = x 3-6 x 2 + 5 , [-3 , 5] ( b ) g ( x ) = x-2 tan-1 x, [0 , 4] Section 4.2: The Mean Value Theorem 5. (12 pts) Verify the functions satisfy the hypotheses of the Mean Value Theorem on the given inter-val. Then ﬁnd all numbers c that satisfy the condition of the Mean Value Theorem ( a ) f ( x ) = x 3-3 x + 2 , [-2 , 2] ( b ) f ( x ) = ln x, [1 , 4]...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online