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∫ xsin3x dx takes the form of any integral ∫ (u)(dv/dx) dx.
∫ (u)(dv/dx) dx = uv - ∫ (v)(du/dx) dx
Taking u=x and dv/dx= sin3x. The equation can be re-written in the form uv - ∫ (v)(du/dx) dx....

Minimum point of Graph A:*complete square to find(x+2)^2 - 4 - 3 = 0(x+2)^2 - 7 = 0Therefore minimum point = (-2, -7)Minimum point of Graph B:(-2+3, -7+2) = (1, -5)*reverse complete the square method(x-1)...

volume= 1/3(πr²)h= 1/3 (3.14x 13x 13)x9= 1592.79 cm³ (2.d.p) = 1590 cm³ (3.s.f)
r= radius h= perpendicular height

3 eggs = £4.80£4.80/3 = £1.601 egg = £1.604 slices of bread = £3.00£3.00/4 = £0.751 slice of bread = £0.751 egg and 1 slice of bread = £1.60 + £0.75 = £2.35

The answer is 4x(2x+y).The point of factorising is to find the common factor of the two variables in the original equation. Once we've found the common factor (4x in this instance), we bring it to the out...