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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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How to solve the inequality 1 - 2(x - 3) > 4x

Firstly you should expand the brackets in this situation in order to collect the like terms, so get all the x's on one side and all the constants on the other side of the inequality. Expanding the bracket...

Answered by Fred E. • 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

9019 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

2301 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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