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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 zero ...
CM
Answered by Chris M. • Maths tutor
3553 Views

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. This makes...
MH
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 sin 2 x+cos 2 x=1 to substitute for sin^2 in terms of cos. sin^2(x)=1-cos^2(x) -------------&gt; -4cos^2(x)+8cosx-3=0 We use the standard quadratic formula to solve for cos(x): cos(...
NW
Answered by Natalia W. • Maths tutor
14457 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 tr...
JM
Answered by Jordan M. • Maths tutor
15874 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 &lt;-- This is what we want to show This is because if (x-A) is a factor of...
RW
Answered by Rebecca W. • Maths tutor
9765 Views