Christian Lawson-Perfect 2 years, 9 months ago

Gave some feedback: Ready to use

Christian Lawson-Perfect 2 years, 9 months ago

Saved a checkpoint:

This is fine. I had to add \left and \right around brackets in a couple of places so they stretch around the fractions inside.

Restore this checkpoint

Hannah Aldous 2 years, 9 months ago

Gave some feedback: Needs to be tested

Elliott Fletcher 2 years, 9 months ago

This is a really good question, i just have a couple of comments

Main Parts

a) and b) i would use a \displaystyle before the fractions in the questions to make the fractions look bigger.

Advice

a) in the very last calculation when you are factorising the quadratic, you write the constant term as a power of a different number like 4^3, i would just leave this as it's simplified number, e.g

x^2-30x-4^3 = 0 could be x^2-30x-64 = 0

b) There is a random ' after the ln on the first line here

I think you are just missing a few full stops after some equations. Specifically, the one before "We then just need to rearrange our equation" and the very last line where you give the final value of x.

Elliott Fletcher 2 years, 9 months ago

Gave some feedback: Has some problems

Hannah Aldous 2 years, 9 months ago

Gave some feedback: Needs to be tested

Hannah Aldous 2 years, 9 months ago

Gave some feedback: Has some problems

Hannah Aldous 2 years, 9 months ago

Gave some feedback: Doesn't work

Hannah Aldous 2 years, 9 months ago

Gave some feedback: Needs to be tested

Stanislav Duris 2 years, 9 months ago

Gave some feedback: Has some problems

Stanislav Duris 2 years, 9 months ago

I feel like some parts in advice need a bit more explanation:

- In part a.iv) I think you should add a bit more explanation why the answer is always 0. Something along the lines that as $b^0 = 1$ then $\log_b(1) = 0$.

- In part b) at the end, "the only value for x is..." I feel should be something along the lines of "the only possible value for x is ...".

- In part c) "Laws for logarithms can also be applied to $\ln$." maybe you could add "as $\ln(x) = \log_e(x)$."

- Also, the last two lines of the advice is only right when p = 2. The right answer in advice always takes a square root rather than the appropriate root. Fix this.

There are some small mistakes in punctuation:

- Some parts are missing a blank space between the = and the gap.

- In advice, I feel like many of the commas you used are unnecesseary, for example "We need to use the rule," is followed by that rule so I would remove the comma so it flows better. You've done this correctly in part a.iii). Maybe if you want to keep the comma there, you should put comma after the rule/equation on the separate line as well, to make it stand out from the sentence. Similarly, "Subsituting in our values for x and y gives," I would remove these commas too for the same reason.

- You're missing a few full stops when your sentences finish with an equation in advice. For example, in part a) after the last line in each part i/ii/iii or last line of the whole advice, I think there should be full stops.

- In advice part b), near the end - "to write our equation as," is followed by two lines of equations. You put full stop after the first line by mistake, but it should be at the end of the second line. Just move the \text{.} to the end of that expression.

Finally, part c) asks for the answer to be put in the form $\frac{e^{a}}{b}$, but accepts answers in different forms such as ($(\frac{e^{m}}{q})^{1/p}$ or ${e^{a}}*{b^{-1}}$. I think this could be easily fixed by putting some required/forbidden strings in the string restriction for the question. I would advise trying "(e" and ")^" and "*" as forbidden strings and add "e" as a required string just to be sure. Hopefully that will fix this tiny problem.

Hannah Aldous 2 years, 9 months ago

Gave some feedback: Needs to be tested