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A Block of mass 2kg is on an a smooth inclined plane where sin@ = 3/5 at point A. Point B is 5 meters down the incline. Find the time it will take for the block to reach point given it is at rest at point A.

So to start with draw a free body diagram of a block on the slope at point A with the forces acting on it which will be the downward force of mass x g (2g) due to gravity and the reaction force 2gcos@. Th...

Answered by Harry S. • Maths tutor

3086 Views

Why is the definite integral between negative limits of a function with positive values negative even though the area bound by the x-axis is positive? for example the integral of y=x^2 between x=-2 and x=-1

Referring back to the definition of an integral, it is the sum of small elements on the x-axis (dx) multiplied by the value of the function at that point (y) commonly expressed as the sum of ydx. Since x ...

Answered by • Maths tutor

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Expand and simplify: 5(x +y) + 3(4x-2y)

I'd first explain how expansion works, and that the first step is to expand the first bracket as shown below:The first bracket expands to: 5x + 5y which equals 5x + 5yThe next step I'd show would...

Answered by Harvey J. • Maths tutor

4052 Views

What is Differentiation?

Differentiation is finding the derivative of an equation. The easiest way to understand it is to look at examples and then practice on more complex questions. These for examples show the three basic princ...

Answered by Zoé M. • Maths tutor

2919 Views

Simplify fully (x^2 + 3x)/(4x + 12)

You should begin by factorising the numerator and denominator, in order to determine what would go into both parts of the fraction.As you can see, x² and 4x have 'x' in common, and 3x and 12 ha...

Answered by Matthew J. • Maths tutor

3796 Views