Methods 2009 Exam 1 Suggested Solutions

[hard]

you know for q 2 if i didn't simplify cos(pi) and sin(pi) to like 1 or -1 or whatever and left it as a long answer and i got the first and second part right would i get 2/3?

[naved_s9994]

if you look at the 06 exam, the first part says find the rule, and the examiners report doesnt state the domain

Yeah... the question asked for the rule...

Whereas this one asks for the function.

I wrote the domain aswell

[TrueTears]

you know for q 2 if i didn't simplify cos(pi) and sin(pi) to like 1 or -1 or whatever and left it as a long answer and i got the first and second part right would i get 2/3?

yeh lose 1 mark for answer mark I guess.

[avram_grant]

if you look at the 06 exam, the first part says find the rule, and the examiners report doesnt state the domain

Yeah... the question asked for the rule...

Whereas this one asks for the function.

Question 2
For the function f : R → R, f (x) = 3e2x – 1,
a. Þ nd the rule for the inverse function f −1

that is the question from the 06 exam - in the examiners report they do not include the domain....

[chima987]

what were the answers to the probabilty questions?

[bloodboy]

Hey True Tears, what if you left C in there, would that be considered an antiderivative?

[almostatrap]

Thanks for the solutions!


for q10. I wrote out x=8, h=0.06, f(x)=blah and f'(x)=blah all correctly

then i accidentally subbed in 2 instead of 8 for f'(x), giving a wrong answer. how many marks would i lose, out of 4marks?

[nala]

I left C in the antiderivative, but specified that c = any real number.

[hyperblade01]

if you look at the 06 exam, the first part says find the rule, and the examiners report doesnt state the domain

Because they asked for the RULE

This year they said FUNCTION which means rule AND domain
Yeah... the question asked for the rule...

Whereas this one asks for the function.

Question 2
For the function f : R → R, f (x) = 3e2x – 1,
a. Þ nd the rule for the inverse function f −1

that is the question from the 06 exam - in the examiners report they do not include the domain....

They asked for the RULE then

This year they asked for the function which means rule AND domain

[TrueTears]

Hey True Tears, what if you left C in there, would that be considered an antiderivative?

Technically you should have made c = 0 or some other constant but I don't think examiner are that tight to take a mark off if you left +c...

[TrueTears]

if you look at the 06 exam, the first part says find the rule, and the examiners report doesnt state the domain

Yeah... the question asked for the rule...

Whereas this one asks for the function.

Question 2
For the function f : R → R, f (x) = 3e2x – 1,
a. Þ nd the rule for the inverse function f −1

that is the question from the 06 exam - in the examiners report they do not include the domain....

Yeah... cause it asks for the RULE not the FUNCTION.

There's a huge difference b/w "find the rule of the function" and "find the inverse function"

EDIT: hyperblade beat me to it

[naved_s9994]

I left C in the antiderivative, but specified that c = any real number.

it said AN, hence no C

[nala]

For the tan(2x) question (I can't remember which one it was), I ended up with the 2 correct answers (pi/6 and 2pi/3), but I also has -pi/6 as an answer (no idea why- i think my brain went slow for that question ).
Is that a 1-mark deduction or 2-mark deduction out of 3?

[Chocolate01]

would you lose marks for not simplifying 1203/600?

[TrueTears]

For the tan(2x) question (I can't remember which one it was), I ended up with the 2 correct answers (pi/6 and 2pi/3), but I also has -pi/6 as an answer (no idea why- i think my brain went slow for that question ).
Is that a 1-mark deduction or 2-mark deduction out of 3?

1 mark yes. Just for answer