Homework Due February 7

Webwork section 1.5 and section 1.6.

Webwork Question

***** The feedback message: *****

Hello,
I keep getting .** for this problem but it's coming back as wrong.
Please Help,
********
A rectangular box has length 11 inches, width 6 inches, and a height of 10 inches. Find the angle between the diagonal of of the box and the diagonal of its base. The angle should be measured in radians.
**************************

It looks like you have approximately the right answer. Try entering the answer as "0.***", i.e. a zero before the decimal point and three digits after the decimal point..

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Homework question

***** The feedback message: *****

What am I doing wrong? Wouldn't you multiply the first vector by negative
one to find the opposite one?

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Last answer:
        AnSwEr0001: 6/sqrt(94)
        AnSwEr0002: -4/sqrt(94)
        AnSwEr0003: 7/sqrt(94)
        AnSwEr0004: -6/sqrt(94)
        AnSwEr0005: 4/sqrt(94)
        AnSwEr0006: -7/sqrt(94)
Number of correct attempts:   0
Number of incorrect attempts: 7
******************************
Find two unit vectors orthogonal to a=<−1,1,2> and b=<-1,-5,4>.  Enter your answer so that the first non-zero coordinate of the first vector is positive.
First vector: < _ , _ , _ >
Second vector: < _ , _ , _ >
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Yes, you would multiply the first vector by -1 to get the second vector.  But to get a
unit vector orthogonal (perpendicular) to both a = ⟨−1,1,2⟩ and b = ⟨−1,−5−4⟩,  
you would start with  a x b, and then normalize to get a unit vector.  

You have computed a x b incorrectly (you can tell this because <6,-4,7> and <-1,1,2>
are not orthogonal since <6,-4,7>.<-1,1,2>√94 =(6*(-1)+(-4)*1+7*2)/√94=(-6-4+14)/√94
=4/√94≠0 ) and you have normalized incorrectly (since
 √(6^2+(-4)^2+7^2)=√(36+16+49) =√101≠√94).

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Homework Due January 31

Webwork section 10.3 and section 10.4.

HW question background

Dr. Taylor,
Section 10.2 Problem 11 involves knowledge of physics I have forgotten. How
are we supposed to calculate this?Thanks for your time. 


A horizontal clothesline is tied between 2 poles, 10 meters apart. When a mass of 2 kilograms is tied to the middle of the clothesline, it sags a distance of 1 meters. What is the magnitude of the tension on the ends of the clothesline?   NOTE: Use g=9.8m/s^2 for the gravitational acceleration.

As far as the physics you have forgotten, it would probably be good for your career as an engineer to un-forget this stuff, as physics is one foundation of the things you will need to know to do a good job as an engineer.  Here are a bunch of hints:

webwork question

 Find the center and radius of the sphere
x2+20x+y2+8y+z2−20z=−180
***** The feedback message: *****

How do you find the radius? I completed the square for x, y, and z, but I
couldn't find the radius.

***** Data about the problem processor: *****


***** Data about the problem: *****

Problem ID:                   9
Source file:                  Local/Rochester/setVectors1space3D/UR_VC_1_5.pg
Value:                        1
Max attempts                  unlimited
Random seed:                  1623
Status:                       0.75
Attempted:                    yes
Last answer:
        AnSwEr0001: 4
        AnSwEr0002: 8
        AnSwEr0003: -2
        AnSwEr0004: sqrt(17)
Number of correct attempts:   0
Number of incorrect attempts: 11
*************************************************
When you've completed the square you should have something like

(x-a)^2 + (y-b)^2 + (z-c)^2=S

for some numbers a,b,c and a number S≥0.  The numbers (a,b,c) are the coordinates of the center of the sphere and S is the square of the radius, i.e. r=√S.

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The textbook...

1) Hi, my name is ********* from your morning class of MAT 267 MWF 9:00-9:50 A.M. I know that you have listed the book title online but just as a confirmation, is the book...

Well, the cover looks good, but as you know it's a mistake to judge the book by the cover.

2) Dear Dr. Taylor,
      I have the required textbook for MAT 266, and I never used the online code. This textbook looks nearly identical to the one listed in your class requirements, and I was wondering if I could use it instead of buying the new one.  I will be bringing my old textbook to class tomorrow, so if you are not sure without looking at it, I would appreciate it if you could see if it will work. 
      Thank you in advance.

OK, I'll take a look.  I think it will be fine, but better to make sure.

3) I have an ASU Calculus book from last semester, and the author is James Stewart, but the code doesn't match the one online, and the cover is different than the one you showed in class. I'm not sure if I have the right book.

Yeah, I think you have the wrong book. Was it from the 266 course or the 271 course?

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Welcome to MAT267

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Webwork Sections 1.1 and 1.2 will open on Friday 1/17/2014 after class and will close on Friday 1/24/2014 at 8:00AM.