Search over 10,000 free study notes

x=3, y=2

First, draw a diagram showing the rectangle, the circle and the unknowns . Then find the equations representing this problem (equation of a circle of center 0, x² +y²=4² ...

-First write the integral with ln(x) and form a product of 1 next to it-Let u=ln(x) and differentiate this-Let dv/dx= 1 and integrate this-Substitute values into integration by parts formula-Simplify and ...

The differential of a natural log function gives a fraction where the numerator is the first derivative of what we are taking the natural log of and the denominator is what we are taking the natural log o...

(a) i) dy/dx= 2x-2-12x^-1/2ii) d² y/dx² = 2+6x^-3/2(b) Substitute x=4 into dy/dx= 2x-2-12x^-1/2 Show that dy/dx= 0 and state 'hence there is a stationar...