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Why doesn't (a+b)^2 = a^2+b^2

(a+b)² actually means (a+b)x(a+b) and so you have to solve this the long way unfortunately. You can use the grid method to do this [I would write this out on the whiteboard function at this poi...

Answered by Mai T. • Maths tutor

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Do particles expand when heated?

When an object is solid, the particles have little energy and are closely packed together. When you heat an object, the particles gain energy and begin to move more frequently and randomly. This means tha...

Answered by Mai T. • Maths tutor

2660 Views

Solve the following simultaneous equations: y - 2x = 6 and y + 2x = 0

Firstly, label each of our equations: y - 2x = 6 (1) y + 2x = 0 (2)Then we can rearrange (2) to get the following: y = -2x (3)Then, substitute (3) into (1): -2x - 2x = 6Which yields the result: -4x = 6The...

Answered by Ciara C. • Maths tutor

4053 Views

Suppose we have a circle with the equation x^2 +y^2 =25. What is the equation to the tangent to the circle at point (4,3)?

Firstly lets draw it out-Draw a line from the origin to the point. calculate the change in y over change in x =(3-0)/(4-0)=3/4Take negative reciprocal which is equal to m. Then do y-y₁=m(x-x

Answered by Nayan M. • Maths tutor

2666 Views

How do you integrate the natural logarithm?

We already know that the derivative of ln(x) is 1/x, so how can this be used for integration?Recall integration by parts uses knowledge of the derivative of one of the parts in the formula.int(u v' dx) = ...

Answered by Josh L. • Maths tutor

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