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The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P

Differentiate C:dy/dx=4x+5When x=1dy/dx=4(1)+5dy/dx=9This is gradient of tangent.Gradient of normal=-1/9When x=1, y=4y-4=-1/9(x-1)y=(-1/9)x+(37/9)(-1/9)x+(37/9)=2x^2+5x-30=2x^2+(46/9)x-(64/9)x=1 or x=-32/9P ...
HC
Answered by Hannah C. • Maths tutor
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How do I harmonise a Bach chorale?

There is a small journey to make before you can get up to harmonising Bach Chorales. I would first recommend purchasing a (cheap) copy of Riemenschneider complete Bach chorales, and taking the time (2 min/da...
JF
Answered by James F. • Music tutor
4911 Views

Describe the steps involved in mitosis and name the exact stages (6)

Interphase: DNA and organelles replicate 2) Prophase: Chromosomes condense (and become visible! - made up of two sister chromatids joined by centromere), nuclear membrane breaks down, and centrioles move to ...
RG
Answered by Ritika G. • Biology tutor
2698 Views

Why did Descartes employ Skepticism in his search for knowledge?

One important aspect of Descartes epistemology is the reason for which Descartes employed the method of doubt in an attempt to reach knowledge. Although it may appear that Scepticism is incompatible with the...
TH
Answered by Thomas H. • Philosophy tutor
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What is a public good?

A public good is a good that is non excludable and non rivalrous. Non excludable means that anyone can use it; the benefits are not limited to just those who paid for it. Non-Rivalrous means that consumption...
IW
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