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Q1, same idea as the previous question
Date Posted:
4 years ago
Can you check for me why the normal part my book answer is different from you
Kathy, I made a mistake in the copying, carrying forward the error. I miswrote the x = 1, y = -3 as (1, 3). I will redo this one later. Just finished teaching my student techniques on trigo identity solving.
Ok. Thanks
That means for the tangent and normal, 1, -3 should be used instead of 1, 3.
Are u around?
I will help you once ready
Kathy, my phone ran into the same trouble again. I will upload my answers by scanning shortly and then answer questions from online.
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This method of finding equations of tangents extends to curves which are not polynomials, such as graphs of ln x and so on.
Date Posted:
4 years ago
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Here
Date Posted:
4 years ago
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Q1, corrected version
Date Posted:
4 years ago
I thought u will change all, haha.
I try myself
I try myself
Which one would you like me to change? I will help you later once I am ready.
The techniques to form equations of tangent and normal to a curve at a specific point are as follows.
1. Obtain the coordinates required for the tangent. If the question says “find the equation...at x = 2”, we need to find the value of y based on the equation of the curve for the coordinates.
2. Obtain dy/dx of the curve for any general point and then sub in the x-value of the coordinate to find the value of dy/dx at that x-value. This is the gradient of the tangent. For the normal, the new value is -1 divided by this number.
3. Now that you have the coordinates and the gradient, you can then form the equation using your y = mx + c.
1. Obtain the coordinates required for the tangent. If the question says “find the equation...at x = 2”, we need to find the value of y based on the equation of the curve for the coordinates.
2. Obtain dy/dx of the curve for any general point and then sub in the x-value of the coordinate to find the value of dy/dx at that x-value. This is the gradient of the tangent. For the normal, the new value is -1 divided by this number.
3. Now that you have the coordinates and the gradient, you can then form the equation using your y = mx + c.
Qns 2 and qns 3
Ok will redo them once ready, I am about to finish a question from another person and then doing other things first. Writing up Q2 and Q3 at 3 pm.
Ok. Thanks
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Q2, Q3, redone
Date Posted:
4 years ago
Thank you. I post a new chapter
Ok wait