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Find the perpendicular bisector passing through the stationary point of the curve y=x^2+2x-7.

First thing to do is to find the stationary point of the curve. This is done by differentiating the function and then equating to zero, as the gradient of the stationary point is zero. Setting dy/dx to ze...

Answered by Chris M. • Maths tutor

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12 + 37 + 47

12 + 37 + 47 = (10 + 30 + 40) + (2 + 7 + 7) = 80 + 16 = 96

It is important to visualize well the operation, being able to separate and put together the numbers that are easy to calculate together. ...

Answered by Marie H. • Maths tutor

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Solve the following equation: 4(sinx)^2+8cosx-7=0 in the interval 0=<x=<360 degrees.

We first use the identity sin²x+cos²x=1 to substitute for sin^2 in terms of cos.

sin^2(x)=1-cos^2(x) -------------> -4cos^2(x)+8cosx-3=0

Answered by Natalia W. • Maths tutor

14119 Views

ABCDEF is a regular hexagon (I will sketch this in the session). Find the angle DAF

What do we know about hexagons? They have six angles and vertices. The fact that the hexagon is regular implies that all interior angles are the same. We can split the hexagon up into six triangles. These...

Answered by Jordan M. • Maths tutor

15250 Views

How do you show that (x+2) is a factor of f(x) = x^3 - 19x - 30, and then factorise f(x) completely?

A1) Showing that (x+2) is a factor of f(x). General Method: If A is a number, then (x- A) is a factor of f(x) if when x=A, f(x=A)=0 <-- This is what we want to show ...

Answered by Rebecca W. • Maths tutor

9492 Views