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As x=3 is a solution, (x - 3) is a factor of f(x) = 2x³- 8x²+ 7x - 3 = 0 ie. 2x³- 8x²+ 7x - 3 = (x - 3)(Ax² + Bx + C) where A,B,C are constants to be...

3x+1/(x+1)(2x+1)=A/(x+1) + B/(2x+1)Multiply equation by (x+1) and (2x+1) to get:3x+1= A(2x+1) + B(x+1)Let x=-1 (x+1=0 so x=-1) sub into new equation. -2= A(-1) + B (x+1)-2=-AA=2Let x=-1/2 and sub into sam...

theta/2pi x2pir = length of ABso therefore simplifying gives... thetar = AB
Perimeter = 2r+thetarequate the answer of 4AB to the perimeter.Solve for theta which eventually give 2/3...

The curve y = x^2 - 4 is a parabola that crosses the x axis at x = - 2 and x = 2, so the area that we are looking for is the area within the parabola when y <= 0 and -2<= x <= 2. So we expect ou...

To find stationary points, we need to find dy/dx and set it equal to 0. Here we must use implicit differentiation: d/dx(x²) + d/dx(-xy) + d/dx(y²) = d/dx(12). Hence 2x - x(dy/dx) - y...