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Find the equation of the line L passing through (0, 3) and (5, 7). What would the gradient of a line perpendicular to this line be? What about a line parallel to it?

Since L is a straight line between two points, it has the form y=mx+c, where m is the gradient. To find m we use that it is the difference in y values of the points divided by the difference in x values, ...

Answered by Victoria I. • Maths tutor

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A particle of mass 0.5 kg is moving down a rough slope (with coefficient of friction = 0.2) inclined at 30 degrees to the horizontal. Find the acceleration of the particle. Use g = 9.8 ms^-2.

Resolving perpendicular to the plane: R - mg cos30 = 0. Therefore, R = m g cos30, where R is the reaction force perpendicular to the plane. Res...

Answered by Matthew B. • Maths tutor

5615 Views

Evaluate f'(1) for the function f(x) = (x^2 + 2)^5

First, we must differentiate the function. To do this we must let the contents of the bracket be equal to 'u'. We now can produce two equations, one by subbing in 'u' into the function f(x) to give us u^5...

Answered by Tahrim U. • Maths tutor

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Solve the simultaneous equations: 6x - 5y = 17, 3x + 8y = 10

First, you will need to make one of the variables x or y have the same number in front. To do this just multiply the equation by a constant which will give you lets say the x value in this equation with t...

Answered by Jagjit S. • Maths tutor

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Prove that the square of an odd number is always 1 more than a multiple of 4.

First we consider how to represent an odd number. We know that any even number can be represented as 2k for some integer k since, by definition, all even numbers are multiples of 2. We also know that all ...

Answered by Josh L. • Maths tutor

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