Search over 10,000 free study notes

We know to find roots of any quadratic equation we use the quadratic formula, [-b +- (b^2 - 4ac)^(1/2)]/2a where a=2, b=6, and c=7.

Plug these values in and we obtain, [-6 +- (-20)^(1/2)]/4. [Remem...

The passive is used more often in English than in Spanish. In Spanish active sentences are preferred in most cases. For example: She was bitten by the dog is most naturally expressed in Spanish as El perr...

Heat energy Q = mass of substance m X SHC of substance C X change in temperature ΔT Q = 10kg X 4200Jkg^-1⁰C^-1 X (27-22)⁰C Q = 10kg X 4200Jkg^-1⁰C^-1 X 5⁰C Q=210,000J = 210kJ 210 kilojoules of energy is r...

The gradient is the rate of change at a specific point on the curve. Since the tangent is a straight line that touches the curve only once at a specific point, the gradient of the curve and the tangent wi...

When integrating by substitution the first thing to do is change the limits of the integral by subbing them into the equation for u. This gives

u = 5 as the lower limit and

u = 2 for the upp...