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How should I approach a proof by induction question?

Proof by induction is a powerful proof technique that can be used to prove a certain property and is a common question on the IB exams. Consider for instance the problem "Prove that sinx + sin3x +...+ s...
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Answered by Aditya R. • Maths tutor
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What is the basic economic problem?

The economic problem – sometimes called basic or central economic problem – asserts that an economy's finite resources are insufficient to satisfy all human wants and needs.
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Answered by Drishti P. • Economics tutor
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find the coordinates of the turning points of the curve y = 2x^4-4x^3+3, and determine the nature of these points

To begin, we must first use the fact that turning points of a graph occur at points where the gradient is equal to zero, in other words, points where dy/dx =0. Differentiating the equation with and setting t...
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Answered by Jenny N. • Maths tutor
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A circle has equation x^2+y^2-8x+10y+41=0. A point on the circle has coordinates (8,-3). Find the equation of the tangent to the circle passing through this point.

From the equation x 2 +y 2 -8x+10y+41=0, we can find the centre of the circle by the middle two terms -8x+10y and multiplying them by -1/2. So the coordinates of the circle centre are (4,-5).Now we can find ...
JK
Answered by Joseph K. • Maths tutor
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In trigonometry , how do you find the angles of a right angle triangle?

In order to do that, and this only works for right angled triangles, is using the sine, cosine, and tangent rules. An easy way to remember this is by using the acronym SOH, CAH, TOA that my teacher taught us...
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Answered by Paulina W. • Maths tutor
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