Maths
A Level

### How do you find the acute angle between two intersecting lines whos equations are given in vector form?

For this question we first need to understand which angle it is we're calculating. When two lines intersect two pairs of equal and opposite angles are formed (4 angles total). We are looking to find the s...

32667 Views

### How do I use the discriminant in circle geometry?

Where does the discriminant come from? It is from the quadratic formula. It is the part under the square root sign, in other words it can't be negative or there are no real solutions to your quadratic equ...

Answered by Jonathan S. Maths tutor
6178 Views

### A curve has equation y = 7 - 2x^5. a) Find dy/dx. b) Find an equation for the tangent to the curve at the point where x=1.

a) The derivative dy/dx of the equation is: dy/dx = -10x4. If you don't remember this, revise Power Rule for derivatives.b) The equation of a line is given by y = mx + q. To find the tangent li...

Answered by Gianpiero C. Maths tutor
4684 Views

### find x: e^(3x-9) = 8

use rules: ln e^x = x*ln(e) and ln(e) = 1. find natural log of each side: (3x-9)ln(e)=ln(8). rearrange: x= (ln(8)+9)/3

Answered by Benjamin Y. Maths tutor
5636 Views