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Find the coordinates of the point of intersection between the line L:(-i+j-5k)+v(i+j+2k) and the plane π: r.(i+2j+3k)=4.

By inspection we can tell that the line and the plane are not parallel. Since the dot product between the direction vector of the line with the perpendicular vector of the plane was not equal to 0 (i.e. b.n≠...
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Answered by Liam V. • Maths tutor
3913 Views

How do I implicitly differentiate and why does it work? (Assuming understanding of differentiation)

Implicit differentiation can be used when you are asked to find dy/dx of a function that has not been written as y=f(x) e.g. y = x^2 - 1, and which cannot be rearranged as such. We can use the equation of a ...
SO
Answered by Sorcha O. • Maths tutor
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Find dy/dx when y = (3x - 1)^10

The question is asking us to find the first derivative of the function (y) with respect to x terms.y = (3x -1)^10We start by taking the superscript 10 down to the front, and multiply this by the 3 (as per st...
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Answered by Olivia F. • Maths tutor
7352 Views

how to derive escape velocity

escape volocity is the minimum volocity required for one object toescape the gravitationl feild of another.we find this by equating gravitional potental enegy and the kinetic energy of the object to 1/2 * m ...
AM
Answered by Aidan M. • Maths tutor
3769 Views

Solving harder exponential equations, e.g. 5/[exp(x) + 6exp(-x)] - 1 = 0 . CORE MATHS.

Our example equation is, 5/[exp(x) + 6exp(-x)] - 1 = 0 ,and we wish to solve for x. Note that exp(x) is the same as writing e x I have chosen this one, because it helps illustrate some general good practice ...
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Answered by Matthew S. • Maths tutor
4652 Views