The surface area of a sphere is in the tables; for example see: https://jpmccarthymaths.files.wordpress.com/2012/02/newtables.pdf

Regards.

]]>In the quiz questions all answers are given bar Q. 2? Can you give the answer so I know if I’m right!

Cheers!

Regards.

]]>I take it you mean solutions, as the answers are there.

Q. 2 — the rate of change of a function is given by the derivative. The surface area of a sphere is given by .

Q. 11 — the antiderivative is in the tables — look for it here: https://jpmccarthymaths.files.wordpress.com/2012/02/newtables.pdf

Q. 13 — Q. 13 (a) The region in question is:

http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E2,%7Bx,1,2%7D%5D

Q.13 (b) The region in question is shown here: http://www.wolframalpha.com/input/?i=Integrate%5Be%5Ex,%7Bx,0,2%7D%5D

Regards.

]]>Velocity is the rate of change of distance.

To find the rate of change of a function you differentiate.

Regards,

J.P.

I got the answer for Q. 4. What did throw me off was when it asked for the rate at which the level was rises. Am I to presume for future that rate refers to velocity?

Regards.

]]>Question 2 — the velocity is the rate of change of displacement/distance, and acceleration is the rate of change of velocity.

Question 9 — not sure what I was thinking… the anti-derivative is actually so you should have

.

Q. 11 is is in the antidifferentiation tablesâ€¦ look for it here: https://jpmccarthymaths.files.wordpress.com/2012/02/newtables.pdf

Q. 13 (a) The region in question is:

http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E2,%7Bx,1,2%7D%5D

Q.13 (b) The region in question is shown here: http://www5b.wolframalpha.com/input/?MSPStoreType=image%2Fgif&w=390.&h=300.&cdf=Animation&i=Integrate%

Regards,

]]>I attempted those questions and had one or two issues.

– Question 2. I didn’t know where to start with that question, it’s probably straight forward but I couldn’t figure it out.

– Question 9. I know you gave the answer but I don’t know what you did to get it.

– Question 11 and 13. Just didn’t where to start again.

I have attached my workings. If you get a chance could you give me direction on the ones above.

Thanks J.P.,

Regards.

]]>Q.9 The anti-derivative is actually so you should have

.

Q. 12 is the correct answer — see this by differentiating the answer using the chain rule. Alternatively do a substitution.

Q. 13 (a) The region in question is:

http://www.wolframalpha.com/input/?i=Integrate%5Bx%5E2,%7Bx,1,2%7D%5D

Q.13 (b) The region in question is shown here: http://www5b.wolframalpha.com/input/?MSPStoreType=image%2Fgif&w=390.&h=300.&cdf=Animation&i=Integrate%5Be%5Ex,%7Bx,0,2%7D%5D

Regards,

J.P.

I have the wrong answer for Q. 9, Q. 12, Q. 13. If you could get back to me before the quiz it would be great. Otherwise I’ll be fairly screwed I’d say.

Thank you.

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