I think your answer to Q8a) is wrong. The order is incorrect, because the transformation you described would yield 4sin((x/2) -60) instead of 4sin( (x/2) - 30)
you are right his one is correct depending on the order, he did translation first so it should by vector (30 0), (x-30) -> (x/2 -30) it will be 60 if stretch first (x/2) -> 1/2(x-60)
To compensate for the chain rule. Let's say you were differentiating y = (ax+b)^n. According to the chain rule, the derivative is y' = [n(ax+b)^(n-1)]*a. Notice that we had to multiply by 'a', since it's the derivative of the inside function. When we integrate, we have to do the opposite of differentiation. Therefore we divide by a, instead of multiplying. Dividing a fraction by a whole number is the same as multiplying its denominator by that number. That's why there's an extra 3 in the denominator.
Yeah it is wrong, either you do translation by (30 0) then stretch factor 2 in x, or you do stretch factor 2 in x, then translation by (60 0). The stretch in y does not impact the order.
in the equation of the Circle at the end you can see r(squared). so we get 36 for that and when you take the square root of 36 you'll get 6 as the radius
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I think your answer to Q8a) is wrong. The order is incorrect, because the transformation you described would yield 4sin((x/2) -60) instead of 4sin( (x/2) - 30)
Since the stretch is not applied to -60, only to x.
you are right
his one is correct depending on the order, he did translation first so it should by vector (30 0), (x-30) -> (x/2 -30)
it will be 60 if stretch first (x/2) -> 1/2(x-60)
@@Nothing-rf3ec Thought so thanks.
@@thesnackbanditno problem, these type of questions are confusing due to order
you are the best! please keep going you are helping alot of us deserve way more subscribers
Sir, you gave the wrong Google drive, could you please give me the solved pdf of this paper
Thanks for pointing this out!
Here is the correct link: drive.google.com/file/d/1c1qT3Ky1Ekh_BO857FlxDDymGq0nvhKs/view?usp=sharing
sir why did you multiplied 3 with three in the denominator of 3x-2^1/2 in the third step of question 7 b?
To compensate for the chain rule.
Let's say you were differentiating y = (ax+b)^n. According to the chain rule, the derivative is y' = [n(ax+b)^(n-1)]*a. Notice that we had to multiply by 'a', since it's the derivative of the inside function.
When we integrate, we have to do the opposite of differentiation. Therefore we divide by a, instead of multiplying. Dividing a fraction by a whole number is the same as multiplying its denominator by that number. That's why there's an extra 3 in the denominator.
How we got r cos theta in question 5 plis explain???
Thank you so much, this really helped me!
Sir in Q8a the sequence of first 2 transformations is incorrect acc to m ark scheme
Yeah it is wrong, either you do translation by (30 0) then stretch factor 2 in x, or you do stretch factor 2 in x, then translation by (60 0). The stretch in y does not impact the order.
Sir please tell me why the radius for qn 9a is 6
in the equation of the Circle at the end you can see r(squared). so we get 36 for that and when you take the square root of 36 you'll get 6 as the radius
brat lekn yorb tawayapsiz , miyyangizni 2 haftaga berib turing, nasinemsn maza qochyaptiku
thanks!
🙏