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Option 1 - Differentiate using product rule giving dy/dx = cos²(x) - sin²(x). (2 marks) Subbing in x as pi (1 mark) then gives (-1)² + (0)² . ...

let us start by taking two points on the curve y=x², the first with x-coordinate x, and the second x+Δx and drawing a straight line between them. We can form a right-angled triangle, with two s...

Differentiating a function, f(x,t) with respect to a varible, such as x or t, tells you rate of change of the fucntion with respect to that varible.  By subbing in a value for x into you differentiated fu...

3cos^2(theta) - 3sin^2(theta) - 5cos(theta) + 2 = 0

3cos^2(theta) + 3cos^2(theta) - 3 - 5cos(theta) + 2 = 0

6cos^2(theta) - 5cos(theta) - 1 = 0

delta = 25 + 24 = 49

cos(theta) ...

(First draw graph of sin(x) and mark 0 and pi and 2 pi) In short, you will need to split up your integral into two parts. One from 0 to pi and one from pi to 2 pi? Can you see/guess why this might be? Fir...