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Using V = pi* integral of y² between b and a with respect to x , where V is the volume of generated solid.y² = 2x + 1 Integrating between given limits yields a result of 3.75Multipl...

This is an example of a question where you would use the product rule, where if y = uv then dy/dx = udv/dx + vdu/dx. In this case u = 2x and v = ln(x). So first of all we will differentiate 2x wh...

dy/dx=(dy/dt)*(dt/dx); dy/dt=3+16t^-3; dx/dt=3(t-1)²; dt/dx=1/3(t-1)²; dy/dx=(3+16t^-3)/3(t-1)²

x³ - 6x² + 11x - 6 = 0
Let (x-a)(x-b)(x-c) = x³ - 6x² + 11x - 6=> abc = -6 and a + b + c = -6 From abc=-6, find the possibilities of their values: (1,2,...

Since this problem contains both xs and ys on the right hand side, we need to use implicit differentiation. This is where we use the chain rule to differentiate with regards to x the terms which contain y...