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secondary 3 | A Maths
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Hi, really need help on this question, kindly advise. Thanks a lot :)
Date Posted: 4 years ago
Views: 332
Good evening Candice! I am not sure what the question actually wants, but I can say that for between the two intersection points, the sad face curve lies above the smiley face curve.
In view of this, we can say that at b,
- (x + 2)^2 + 10 is greater than b, but b is greater than 4x^2.
Let me think about a.
In view of this, we can say that at b,
- (x + 2)^2 + 10 is greater than b, but b is greater than 4x^2.
Let me think about a.
Since (a, b) lies ABOVE the curve y = 4x^2, we substitute a and b and an inequality sign to get
b > 4a^2
(if the point is on the curve, then b = 4a^2)
Since (a, b) lies BELOW the curve y = - (x + 2)^2 + 10, we can make a similar statement
b < -(a + 2)^2 + 10
In other words, the point (a, b) lies in a region where b > 4a^2 and b <-(a + 2)^2 + 10.
b > 4a^2
(if the point is on the curve, then b = 4a^2)
Since (a, b) lies BELOW the curve y = - (x + 2)^2 + 10, we can make a similar statement
b < -(a + 2)^2 + 10
In other words, the point (a, b) lies in a region where b > 4a^2 and b <-(a + 2)^2 + 10.
Thanks a lot for your prompt advice, Mr Eric :) Appreciate very much.
Have a good evening.
Have a good evening.
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Good evening Candice! This is the furthest I could go; I am unable to find other ways to find the relationship between a and b.
My interpretation of the question is that we need to find an equation connecting both a and b in one single equation. But then, since a and b are variable points within that shaded region, we can at best find an inequality connecting a and b.
My interpretation of the question is that we need to find an equation connecting both a and b in one single equation. But then, since a and b are variable points within that shaded region, we can at best find an inequality connecting a and b.
Date Posted:
4 years ago
Good evening Mr Eric ! Wow! Bravo :) I am really thankful for so much effort that you have put in in explaining the solution to me. I can fully understand it now. Once again, thank you so much :)
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