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3x + y =23, 4x +4y=5212x+4y=92, 12x+12y=1568y=64y=8sub in3x+8=23, 3x=15x=5y=8x=5

solving horizontally, use v=s/t, where s=200, v=25(3)^1/2. Hence t=s/v=8/(3)^1/2 (where t is the time when the ball would reach the fort if it does not reach the ground)Solivng vertica...

∫ 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