hw2answers - Villarreal, Natalie Homework 2 Due: Sep 4...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Villarreal, Natalie – Homework 2 – Due: Sep 4 2007, 3:00 am – Inst: Louiza Fouli 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – fnd all choices be±ore answering. The due time is Central time. Yes, Homework 1 is due AFTER Homework 2. 001 (part 1 o± 1) 10 points A car frst slows down, but then speeds up. Sketch a graph o± the position o± the car as a ±unction o± time. 1. time position 2. time position 3. time position 4. time position 5. time position 6. time position correct Explanation: When the position o± the car is plotted against time, the slope o± the graph indicates the speed o± the car, the greater the slope, the greater the speed, and the car is stationary when the slope is zero. Thus o± the graphs, only
Background image of page 1

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

View Full DocumentRight Arrow Icon
Villarreal, Natalie – Homework 2 – Due: Sep 4 2007, 3:00 am – Inst: Louiza Fouli 2 time position has the given properties. Keywords: graphical interpretation speed, position v. time graph 002 (part 1 of 1) 10 points The point P (1 , 8 5 ) lies on the graph of the function f de±ned by f ( x ) = 8 x 3 + 2 x . By calculating the slope of the secant line P Q for the successive points Q ( x, f ( x )) with x = 1 . 1 , x = 1 . 01 , x = 1 . 001 , x = 1 . 0001 , and x = 0 . 9 , x = 0 . 99 , x = 0 . 999 , x = 0 . 9999 , estimate (to 3 decimal places) the slope of the tangent line to the graph of f at P . Correct answer: 0 . 96 . Explanation: The slope of the secant line P Q for general points P ( a, f ( a )) and Q ( b, f ( b )) on the graph of f is given by rise run = f ( b ) - f ( a ) b - a . For the given points
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/15/2011 for the course MATH 408K taught by Professor Gualdani during the Fall '09 term at University of Texas at Austin.

Page1 / 6

hw2answers - Villarreal, Natalie Homework 2 Due: Sep 4...

This preview shows document pages 1 - 3. Sign up to view the full document.

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