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标题: 2008 Second Semester MATHS课程问答帖(请用英文提问) [打印本页]

作者: z-score 时间: 2008-3-18 08:27:29 标题: 2008 Second Semester MATHS课程问答帖(请用英文提问)

303B25会在奥大板块长期提供MATHS课程的免费问答。本贴为大家提供assignment, course book, test & exam questions的帮助。

303B25 will offer long term help with MATHS papers in The University of Auckland sub-forum. In this post you could ask questions regarding assignment, course book, test & exam questions.

303B25可以帮助的数学课程:

102 (4楼)
108 (5楼)
150 (6楼)
208 (7楼)
250 (8楼)
255 (9楼)

注意:

303B25看不懂中文，阿童木会把大家问的问题翻译成英文，或者大家可以直接用英文问问题。

[ 本帖最后由 z-score 于 2008-8-4 12:11 编辑 ]

作者: z-score 时间: 2008-3-18 08:27:34 标题: 本贴的贴规

4楼至9楼是不同papers的回复总结，求助问题前请check相关的楼，这样可以避免重复问题。
在每次跟帖的时候，请在标题中注明是哪门课程，例如：MATHS108
请注明问题是哪一张paper的，本贴面向数多统计papers。
请适当给303B25加人气

谢谢大家的合作

303B25祝各位朋友在本学期的数学课程中得到满意的成绩。

[ 本帖最后由 z-score 于 2008-3-18 08:33 编辑 ]

作者: z-score 时间: 2008-3-18 08:27:37 标题: 102的学习资料与问题回复

to be updated

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作者: z-score 时间: 2008-3-18 08:27:40 标题: 108的学习资料与问题回复

to be updated

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作者: z-score 时间: 2008-3-18 08:27:44 标题: 150的学习资料与问题回复

to be updated

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作者: z-score 时间: 2008-3-18 08:27:47 标题: 208的学习资料与问题回复

to be updated

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作者: z-score 时间: 2008-3-18 08:27:51 标题: 250的学习资料与问题回复

to be updated

[ 本帖最后由 z-score 于 2008-3-18 08:37 编辑 ]

作者: z-score 时间: 2008-3-18 08:27:54 标题: 255的学习资料与问题回复

to be updated

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作者: 303B25 时间: 2008-3-18 08:29:53

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作者: apricotnz 时间: 2008-3-18 11:38:40

你太强了~~~~~~！！

作者: 303B25 时间: 2008-3-18 12:47:39 标题: 回复 #12 apricotnz 的帖子

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作者: 木瓜奶牛不下水 时间: 2008-3-18 17:36:38

MATH 108 , ASS 1 , 题目,1,2,3,,4,5,6,7,8,9

作者: 寒冰 时间: 2008-3-18 19:29:15

LSD,,,

at least do sth by yrself ba~~~~~~

作者: z-score 时间: 2008-3-18 23:50:01 标题: 回复 #14 木瓜奶牛不下水的帖子

Hey this is not acceptable

作者: 303B25 时间: 2008-3-19 08:46:47 标题: 回复 #14 木瓜奶牛不下水的帖子

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作者: 木瓜奶牛不下水 时间: 2008-3-19 21:53:19

全都不明白?????整本书要发上来么????

作者: qian.qian 时间: 2008-3-19 22:04:34 标题: 回复 #18 木瓜奶牛不下水的帖子

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作者: z-score 时间: 2008-3-19 22:05:11 标题: 回复 #18 木瓜奶牛不下水的帖子

她让你问一些更具体的问题。

作者: z-score 时间: 2008-3-19 22:07:23

原帖由 qian.qian 于 2008-3-19 22:04 发表
如果你全部都不明白的话....
我想...你需要的是找个tutor从头说起...
他们都是义务性质的..没有可能全部都帮你解出来...
就算能帮你assignment..那以后的test,exam又怎么样...

非常同意

作者: 木瓜奶牛不下水 时间: 2008-3-19 22:15:36

哎.....具体问题,,,,
9. [10 marks] Consider the parallelepiped given by the three vectors O􀀀!A, O􀀀􀀀!B and O􀀀!C in R3 as
shown.
/
K
ooooooo7
O A
C
B
D E
(a) Express the vector O􀀀􀀀!E as a linear combination of O􀀀!A, O􀀀􀀀!B and O􀀀!C.
(b) Let A = (2; 2; 5), B = (􀀀4; 3; 1) and C = (2;􀀀1; 1). Find O􀀀􀀀!E and jO􀀀􀀀!Ej.
(c) Let A = (􀀀2; 0; 0), B = (􀀀k; 3; 0) and C = (0; k; 1), for some k 2 R.
(i) For which values of k is the equation jO􀀀!Aj2 + jO􀀀􀀀!Bj2 + jO􀀀!Cj2 = jO􀀀􀀀!Ej2 satised?
(ii) Sketch the vectors O􀀀!A, O􀀀􀀀!B and O􀀀!C for the value(s) of k you just computed. What
are the angles between them?
(d) In general, when is the equation jO􀀀!Aj2 +jO􀀀􀀀!Bj2 +jO􀀀!Cj2 =

作者: 木瓜奶牛不下水 时间: 2008-3-19 22:17:01

郁闷,,,,图传不上去~~~~是个立体的平行四边型

作者: z-score 时间: 2008-3-19 23:47:40 标题: 回复 #23 木瓜奶牛不下水的帖子

不用上传图片，请你说出哪门课assignment的那道题。我会给303B25图片的。

作者: 木瓜奶牛不下水 时间: 2008-3-20 12:43:05

MATH 108 , ASSIGNMENT 1, QUESTION 9

作者: 303B25 时间: 2008-3-20 15:19:45 标题: 回复 #22 木瓜奶牛不下水的帖子

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作者: z-score 时间: 2008-3-20 15:27:21

原帖由 303B25 于 2008-3-20 15:19 发表
I know which problem you're talking about unfortunately since I don't have the assignment I can't quite remember it, and I'm having trouble reading the one you posted.

It will be helpful for ...

I'll post the 108 assignment here for you.

I think he wants help with Question 9

[ 本帖最后由 z-score 于 2008-3-20 15:29 编辑 ]

作者: 303B25 时间: 2008-3-20 15:30:05 标题: 回复 #27 z-score 的帖子

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作者: 303B25 时间: 2008-3-20 15:47:03 标题: math 108 assignment 1 question 9

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作者: 马小哈 时间: 2008-3-20 15:52:06

本帖最后由马小哈于 2010-1-8 12:47 编辑

{:7_353:} {:7_355:}

作者: z-score 时间: 2008-3-20 16:56:58

因为奥大读Stage 1和2的朋友们很多

作者: 摇得你好滚 时间: 2008-3-22 04:00:10

MATH 108 , ASSIGNMENT 1, QUESTION 4(a)(iii)

作者: 249914806 时间: 2008-3-22 22:49:33

Find the limit of f(x)=((x+3)/(x+1))^x. Thanks a lot.

作者: howie_dai 时间: 2008-3-22 23:33:42

limit? too old question for me......haha

i just take a guess,the main point to fix out this problem is about working out what value x cann't take to,

for example,x cann't be -1,secondly, when x is negative value, need to make sure(x+3)/(x+1) is positive value, then work out what value f(x)=y can't touch, then that the limit it is.....

i may wrong, because i had a long time didn't study already, just guess, never mind,haha

作者: 249914806 时间: 2008-3-23 11:16:00

I don't want to say this but i have to, hope you do not mind, you are absolutely completely definitely not on the right track. haha~~
As Mathematics progresses we use L'Hospital rule to solve this kind of problem.The final answer is e^2 but i do not know how it comes to be e^2 i thought it was infinite.
Need help please.

作者: 303B25 时间: 2008-3-23 14:33:10 标题: 回复 #33 249914806 的帖子

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作者: 303B25 时间: 2008-3-23 14:38:51 标题: 回复 #32 摇得你好滚的帖子

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作者: 249914806 时间: 2008-3-23 20:04:44

im sorry,repeat,find the limit of f(x)=((x+3)/(x+1))^x as x->infinite

作者: 303B25 时间: 2008-3-23 21:48:07 标题: 回复 #38 249914806 的帖子

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作者: 249914806 时间: 2008-3-23 22:43:41

The answer is not diverges but e^2.
Question is on A.B.D Page 634 no. 21

作者: 303B25 时间: 2008-3-23 22:53:31 标题: 回复 #40 249914806 的帖子

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作者: 303B25 时间: 2008-3-23 22:55:55 标题: 回复 #40 249914806 的帖子

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作者: 249914806 时间: 2008-3-23 23:17:47

That's all good thanks.

作者: 摇得你好滚 时间: 2008-3-24 00:05:43 标题: 回复 #37 303B25 的帖子

i mean how to write the domain of (hog)of, include the process, thank u

作者: 303B25 时间: 2008-3-24 20:23:51 标题: 回复 #44 摇得你好滚的帖子

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作者: 摇得你好滚 时间: 2008-3-25 02:09:06 标题: 回复 #45 303B25 的帖子

ja, thanks a lot

作者: tokidoki_y 时间: 2008-3-26 18:05:32

um...how about MATHS 108, ASSIGNMENT 1, QUESTION 5., ?

作者: 没蚊香的黑夜 时间: 2008-3-26 22:50:47

问一下。。。maths 108的assignment一定要用matlab做吗？可以用手写的吗？。。。。好像要求过程吧。。。。。

作者: 303B25 时间: 2008-3-27 13:06:17 标题: 回复 #46 tokidoki_y 的帖子

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作者: 303B25 时间: 2008-3-27 13:06:39 标题: 回复 #47 没蚊香的黑夜的帖子

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作者: z-score 时间: 2008-3-27 13:09:08

He wondered if you need to show working and if you need to do it in MATLAB.

作者: tokidoki_y 时间: 2008-3-27 14:27:19

ok.,thanx. ill try to solve it ...

作者: 没蚊香的黑夜 时间: 2008-3-27 20:39:41

原帖由 303B25 于 2008-3-27 13:06 发表
do the limit for the first one and second one, they must equal to each other, find the value of k such that as x -> pi/2, first function equal the second function, that will be your solution.

Still not quite clear about this.......

Could you plz break it down? or is there any other good way to understand "continuous"?

Cheers

作者: 没蚊香的黑夜 时间: 2008-3-27 23:13:14

Hi again...math 108 question 5....my answer is when k=pi/2 or k=pi/4 ,the function is continuous.... is that right? thanks

作者: 摇得你好滚 时间: 2008-3-28 00:53:57

maths108, assignment 1, No.9 (d) thank u

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作者: KASEI 时间: 2008-3-31 21:57:09

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作者: 摇得你好滚 时间: 2008-4-18 22:00:21

how about the second assignment?

作者: 303B25 时间: 2008-4-20 17:12:21 标题: 回复 #60 摇得你好滚的帖子

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作者: 花花花狸鼠 时间: 2008-4-26 03:18:27 标题: help................

consider the system of linear equatoins,
x+y+kz = 2
3x+4y+2z = k
2x+3y-z = 1
Give the solution when k=3, describing the relationship of the planes in this instance

i tried to transform the above to reduced row echelon form which gives the solutions
(1 1 3 2; 0 1 -7 -3; 0 0 0 0), this means the system has infinitely many solutions, am i right?
from here, i don't know how to do further, what are the solutions represent? if there are infinitely many solutions, the three planes meet on a line or a plane by the three forms which are 3 coincident planes, intersecting is a plane, 2 coincident planes, intersection is a line, intersection is a line. how can i identify which one is which from the above solutions? thx!

作者: 303B25 时间: 2008-4-26 13:15:09 标题: 回复 #62 花花花狸鼠的帖子

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作者: jennyyang 时间: 2008-4-27 18:19:45

Maths 108, ASSIGN 2, Question 8
Could you please explain to me how should I do this question? Its confusing

作者: jennyyang 时间: 2008-4-27 18:39:17

q8 Assign 2

suppose P and Q are two distinct planes in R^3. what sort of set could their intersection be? answer in words and give a sketch to show the possibilities.

作者: 303B25 时间: 2008-4-28 11:22:37 标题: 回复 #65 jennyyang 的帖子

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作者: ycho126 时间: 2008-5-15 19:05:56 标题: math 108 assignment 3

Q3
Find the values of k for which the matrix A = [1 -1 -2 ; 3 k k ; 3 1 k] is invertible.

can i have some hints of how to do this question please?? thx so much

作者: 萨米 时间: 2008-5-15 19:08:42

原帖由 ycho126 于 2008-5-15 18:05 发表
Q3
Find the values of k for which the matrix A = [1 -1 -2 ; 3 k k ; 3 1 k] is invertible.

can i have some hints of how to do this question please?? thx so much

Only the determinent is not 0.

作者: ycho126 时间: 2008-5-16 16:51:31 标题: 回复 #68 萨米的帖子

so do u mean i just randomly choose a real number to let det(A) not equal to 0?
for example, det(A) = 2

作者: 萨米 时间: 2008-5-19 11:31:18

原帖由 ycho126 于 2008-5-16 15:51 发表
so do u mean i just randomly choose a real number to let det(A) not equal to 0?
for example, det(A) = 2

Make it to REF and determine the det.

作者: ycho126 时间: 2008-5-19 14:19:41 标题: 回复 #70 萨米的帖子

thx so much!!

however, i got another problem which is.....
Use the formal definition of differentiation as a limit to find the derivative f'(x). where f(x) = 1/(x-1).
I know the ans is -1/(x-1)^2, but i can't get the answer by using "formal definition"......

作者: KASEI 时间: 2008-5-19 16:24:03

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作者: KASEI 时间: 2008-5-19 22:23:18

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作者: tokidoki_y 时间: 2008-5-20 14:27:23 标题: assignment 3

question 9
f(x) = (x^2-1)/(2x^2-2x-12)
how do we find the asymptotes of the graph of f and any discontinutities??
and also what should we do to find t he relative extrema??

thanx.

作者: ty_srb$ 时间: 2008-5-20 23:02:00

how do you do math208 assg 4 q1.

also. i need a tutor for 208. any advice or any1 that can help me ma?
thx la..

作者: 303B25 时间: 2008-5-23 12:17:36 标题: 回复 #76 tokidoki_y 的帖子

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作者: papa_ohyeah 时间: 2008-5-26 00:38:22

help
how to integrate x/((1+2x)square root).dx
dont know how to type !
hope u understand

作者: 303B25 时间: 2008-5-27 14:01:22

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作者: ccjj 时间: 2008-6-9 15:54:18

looking for a maths108 tutor... urgently please...

please email me...

作者: cathyfee 时间: 2008-6-20 15:14:48

303B25 just wondering can u help with math 253 thx!!

作者: 303B25 时间: 2008-6-23 20:01:06 标题: 回复 #83 cathyfee 的帖子

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作者: CEOjennifer 时间: 2008-7-2 19:20:42

here's a stupid question, does anyone know what is the criteria for Math102 to get A+? Is it 90 or 95 or 85???

作者: 303B25 时间: 2008-7-11 10:28:13 标题: 回复 85# CEOjennifer 的帖子

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作者: 摇得你好滚 时间: 2008-8-2 22:16:45

anyone help in second semester math208 assignment?

作者: 303B25 时间: 2008-8-3 22:08:06 标题: 回复 87# 摇得你好滚的帖子

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作者: 303B25 时间: 2008-8-3 22:19:12

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作者: 摇得你好滚 时间: 2008-8-4 16:12:14

3. (8 marks) Let U consist of all vectors in 3-dimensional Euclidean vector space R3 each of whose entries is the same, that is U = {(a; b; c) : a = b = c∈R}

(b) What is the dimension of U?
(c) Describe U geometrically.
(d) State a system of linear equations that defines U.

作者: duclover 时间: 2008-8-4 18:42:23

can i ask some questions from maths 208???

Let U consist of all vectors in 3-dimensional Euclidean vector space R3 each of whose entries

is the same, that is U = {f(a; b; c) : a = b = c }
State a system of linear equations that de nes U.

what's that mean???

thanks~

作者: 303B25 时间: 2008-8-4 19:45:59 标题: 回复 91# duclover 的帖子

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作者: 303B25 时间: 2008-8-4 19:48:30 标题: 回复 90# 摇得你好滚的帖子

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作者: duclover 时间: 2008-8-4 20:14:46

i still donn't understand how to
State a system of linear equations that defines U
in this quextion.....

作者: duclover 时间: 2008-8-4 20:30:55

In each of the following two cases, the set of vectors {v1,....,vn} forms an orthonormal
basis for the corresponding Euclidean vector space Rn.
Find an expression for the given vector w in terms of this basis.
(Do not use Gaussian elimination.)

Q:n = 2, v1 = [1/root2 1/root2]T, v2=[-1/root2 1/root2]T, w=[9 4]T

(T means transpose)

作者: 摇得你好滚 时间: 2008-8-4 22:11:37 标题: 回复 93# 303B25 的帖子

(c) hint: what does (a,a) look like, x=a, y=a => x=y, over here you got x=y=z
(d) see previous answers. should be obvious now.
.......?

still don't understand....x=y means a line through origin and form 45 degree angle with x-axis? then what about x=y=z?

作者: 摇得你好滚 时间: 2008-8-4 22:50:34

and for Q6, is it using the formula of w=(w * v1)v1+(w * v2)v2+......+(w * vk)vk ?

作者: uwantsprincess 时间: 2008-8-4 23:06:42 标题: MATHS208 Assignment 1

Anyone know how to do Question 1a, 1b??

作者: 303B25 时间: 2008-8-4 23:17:59 标题: 回复 95# duclover 的帖子

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作者: 303B25 时间: 2008-8-4 23:19:20 标题: 回复 94# duclover 的帖子

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