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Given 2x^2-3y^2=2, find the two values of dy/dx when x=5.

First solve for the exact point on the line by substituting 5 into the original equation. You should get y=+-4.
Now implicitly differentiate the equation: 4x-6y(dy/dx)=0. Rearranging this will yiel...

Answered by Kalid U. • Maths tutor

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The quadratic equation x^2 - 2kx + (k - 1) = 0 has roots α and β such that α^2 + β^2 = 4. Without solving the equation, find the possible values of the real number k.

We know in a quadratic x^2 +bx + c = 0, -b/a = α + β and c/a = αβ.

Therefore, α + β = -(-2k) = 2k, and αβ = k - 1. (Both are divided by the coefficient in front of x which is 1 so can be ignored.<...

Answered by Ralph T. • Maths tutor

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How should my time be managed during the IB History Paper One?

For the paper one, unfortunately time is not on your side. You have one hour to complete 4 comprehensive questions in the best way possible. You should think of the exam in terms of precision, don't waste...

Answered by Christina K. • History tutor

3106 Views

Explore the ways in which the conflict between generations is portrayed in one of the books you have studied ['Le Liseur', Bernhard Schlink].

Through the two protagonists, Michael and Hanna, Schlink portrays the conflict between the WWII generation and the post-war generation in Germany as one that can never be understood by one another. Indeed...

Answered by Aurelie H. • French tutor

1772 Views

Consider the arithmetic sequence 2, 5, 8, 11, ... a) Find U101 b) Find the value of n so that Un = 152

Firstly, as with any question, make sure to check your formula book in order to find any relevant equations. In this case, the one most relevant to us is U_n = U₁ + d(n-1).
From...

Answered by Kirsty W. • Maths tutor

12206 Views