wait population should be 22? as after 5 years the value became 22.87 hence the population can not be assumed to increase by the other fraction so wouldn't the lower value be the answer???
Overkill. The suggested substitution turns a routine question into a complex one since (ln2)2^x is the derivative of 2^x + 1. With a straight forward manipulation, the integral is an example of the reverse chain rule. This is not a criticism of your presentation but merely my thoughts on the question structure which penalises an intuitive student. I would prefer to see using the substitution or otherwise...- manifestly questions are structured this way supposedly for the benefit of students but latently, my view is that it is for the benefit of markers.
Great vid! Can I just check, at 5:43 would we also divide by the derivative of the polynomial inside the brackets? (But doesn't apply here as it'd be equal to 1)
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Which disgusting topic would we like to see next?
my exam is tomorrow please upload a 5 hour video on every maths topic
can you please do a video on connected rates of change for tuesday's pure 2 exam
I actually understand this, you are a bloody miracle.
Suggest enlarging the printed text.
Great vid Patrick 👍
I can't see the questions properly
you are amazing bro
Great video!
Cheers Mr Butler, likewise!
Great! Thank you😊
wait population should be 22? as after 5 years the value became 22.87 hence the population can not be assumed to increase by the other fraction so wouldn't the lower value be the answer???
Overkill. The suggested substitution turns a routine question into a complex one since (ln2)2^x is the derivative of 2^x + 1. With a straight forward manipulation, the integral is an example of the reverse chain rule. This is not a criticism of your presentation but merely my thoughts on the question structure which penalises an intuitive student. I would prefer to see using the substitution or otherwise...- manifestly questions are structured this way supposedly for the benefit of students but latently, my view is that it is for the benefit of markers.
Great vid! Can I just check, at 5:43 would we also divide by the derivative of the polynomial inside the brackets? (But doesn't apply here as it'd be equal to 1)
You would, but it can't just be any polynomial it has to be linear!
THANK YOU
how about change the name of the series to beautiful a level questions
init such a nice question.
which exam board is this?