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Solve the equation x^2-9x+20

Multiples that equal 20: 1 and 20, 2 and 10, 4 and 5Which of these multiples add/subtract to give -9?= -4 and -5Therefore answer is:(x-4)(x-5)=0x= 4 or x= 5

Answered by Megan C. Maths tutor
3409 Views

The angle of elevation to the top of a tree is 63 degrees. Given that the distance to the tree is 15 m and your height is 1.6 m, how tall is the tree?

Drawing a diagram for this would show that the height of the tree above us is given by tan(63)*15, so the total height is this added to 1.6 m. This gives a height of 31 m.

Answered by Lucy V. Maths tutor
2883 Views

(C3 question). Find an expression for all stationary points on the curve y=sin(x)cos(x). How many such points are there and why?

Stationary points are points at which the gradient of the curve is zero. The gradient is given by dy/dx so we start by computing this using product rule to give us dy/dx=-sin2x+cos2x...

Answered by Tristan G. Maths tutor
4730 Views

(FP3 question). Integrate 1/sqrt(3-4x-x^2).

There are two stages to this integral. Stage 1: Notice that there is a quadratic inside a square root in the denominator. We wish to look for a substitution which will reduce this problem...

Answered by Tristan G. Maths tutor
5807 Views

Find the stationary points of the curve f(x) =x^3 - 6x^2 + 9x + 1

Step One: stationary/turning points are points on the curve where the gradient equals 0 (i.e. a point at which the slope changes from negative to positive, or vice versa). So we ne...

Answered by Angharad L. Maths tutor
9407 Views

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