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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 yield the foll...
KU
Answered by Kalid U. • Maths tutor
7667 Views

How should I answer a source based question in an exam?

When answering a source based question, you need to focus on the 5W's. By answering each of them, you will address each of the problems of a source based question. 5Ws : WHO / WHAT / WHEN / WHERE / WHY WHO :...
LW
Answered by Lucy W. • History tutor
8240 Views

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. Now (α + β)...
RT
Answered by Ralph T. • Maths tutor
17687 Views

How do I know when the subjunctive is needed in Spanish?

The Subjunctive is one of the hardest ideas in Spanish, simply because it is not commonly used in English! The easiest way I find to remember it is to think of WEIRDO! Wishes- eg when using deseo que or quie...
AP
Answered by Anusha P. • Spanish tutor
2034 Views

Discuss the extent to which economic development in the resource-rich economies of sub-Saharan Africa is likely to be promoted by international trade

Through international trade resource-rich economies in sub-Sahara Africa will be able to increase their exports; since exports are a component of Aggregate Demand, this will increase AD. Higher AD will incre...
EH
Answered by Euan H. • Economics tutor
3108 Views