5sol - ( ) ( ) ( 3 2 + + + + = L a) Find ) ( ), ( ), ( ), (...

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

View Full Document Right Arrow Icon
1. (4 marks) A light is on top of a 15 ft vertical pole. A 5 ft woman walks away from the pole base at a rate of 3 ft/s. How fast is the angle made by the woman’s head, the light, and the pole base changing 4 seconds after she starts walking? [This question is to be done by hand…no Maple component].
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. (4 marks) Instead of being satisfied with a linear approximation to a function, it is possible to find a quadratic or higher-order approximation. . On pg. 269-270 of your text, this concept is explained, and the higher-order approximation is given by n n n a x n a f a x a f a x a f a x a f a f x T ) ( ! ) ( ) ( ! 3 ) ( ) ( ! 2 ) ( ) )(
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( ) ( ) ( 3 2 + + + + = L a) Find ) ( ), ( ), ( ), ( ), ( 5 4 3 2 1 x T x T x T x T x T for ) 1 ln( ) ( x x f + = around = a . [This part is to be done by hand] b) Plot ) ( x f as well as the approximations ), ( ), ( ), ( 3 2 1 x T x T x T ) ( ), ( 5 4 x T x T on the same plot in Maple, and comment on how well they approximate ) ( x f . > plot([ln(1+x),x,x-(x^2/2),x-(x^2/2)+(x^3/3),x-(x^2/2)+(x^3/3)-(x^4/4),x-(x^2/2)+(x^3/3)-(x^4/4)+(x^5/5)], x=-2. .2, y=-2. .2, colour= [black,gray,blue,green,yellow,red]);...
View Full Document

This note was uploaded on 09/13/2008 for the course MATH 1010u taught by Professor Kim during the Spring '08 term at Trinity University.

Page1 / 2

5sol - ( ) ( ) ( 3 2 + + + + = L a) Find ) ( ), ( ), ( ), (...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online