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factorise x^2 - 8x -65

Two numbers add/ subtract to make -8Two numbers multiply to make -65. These are 1 and 65 as well as 5 and 13Seeing as 1 and 65 cant add or subtract to make -8 the numbers we'll use are 5 and 13. These also s...
KC
Answered by Kavi C. • Maths tutor
5417 Views

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
3930 Views

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
4863 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
2668 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...
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Answered by Thomas H. • Philosophy tutor
3522 Views