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Further Mathematics

A Level

How do you find the matrix corresponding to a transformation?

Let's say that T is a transformation of the two dimensional plane. Remember that we have the two standard unit vectors (1,0) and (0,1). These are, respectively, the unit vectors pointing in the positive d...

Answered by Robin F. • Further Mathematics tutor

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Find the general solution to the differential equation: d^2y/dx^2 - 8 dy/dx +16y = 2x

d²y/dx² - 8 dy/dx +16 y = 2x Auxiliary Equation: m² - 8m +16 = 0 (m - 4)²=...

Answered by Oliver F. • Further Mathematics tutor

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P(A)=0.2, P(A|B) = 0.3 and P(AuB)=0.6. Find i P(B) ii P(B'|A')

i. P(AuB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A|B)P(B) = 0.3P(B)

P(AuB) = P(A) + 0.7 P(B) --> 0.6 = 0.2 + 0.7 P(B) --> P(B) = 4/7

ii. P(B'|A') = P(A'nB')/P(A')

P(A'nB') = ...

Answered by Will S. • Further Mathematics tutor

9455 Views

How do you calculate the cross product of two vectors?

To calculate the cross product of two vectors you take the coordinates of vector 1 which are (x₁,y₁,z₁) and the coordinates of vector 2 which are (x₂,y₂

Answered by Michael K. • Further Mathematics tutor

2614 Views

Find the area of the surface generated when the curve with equation y=cosh(x) is rotated through 2 pi radians about the x axis, with 2<=x<=6

Use the formula for the surface area of revolution, which requires dy/dx. So find dy/dx = sinh(x) and substitute dy/dx and y into the formula with the limits provided in the question (2 and 6). Then evalu...

Answered by Jakub H. • Further Mathematics tutor

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