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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 +......

Answered by Aditya R. • Maths tutor

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How can we calculate the maximum and minimum points of a function?

The derivative of a function in a point is, by definition, the slope of the tangent line to the function in that point. In a point that is a maximum or a minimum, one can easily picture that the tangent i...

Answered by Francisco T. • Maths tutor

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Find the Cartesian equation of plane Π containing the points A(6 , 2 , 1) and B(3, -1, 1) and perpendicular to the plane Π2 (x + 2y - z - 6 = 0).

The information we are given to solve for the equation of the plane are the points A and B, as well as the equation of a plane which lies perpendicular to the plane Π we are solving for.Method 1: Since A ...

Answered by Yannick G. • Maths tutor

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Derive the following: f(x)=(96/x^2)+kx

f'(x)=(-192/x^3)+k

Answered by Adrien D. • Maths tutor

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Find the intersection point/s of the equations x²+7x-3 and 3x+4

Like many things in Mathematics, we have to remember that getting used to visualising the problem is often a fundamental stepping stone towards success. Both equations represent a line on the Cartesian pl...

Answered by Daniele P. • Maths tutor

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