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Find the x-intercepts of the graph y=x^2+2x

At the x-intercepts of the graph, the line crosses the x-axis. This means that the y-value at these points equals 0. We must therefore make x^2+2x equal to 0 and simplify the equation. x^2+2x = 0 is the same...
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Answered by Harry H. • Maths tutor
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What is a production possibility frontier?

A production possibility frontier, or PPF, is a line showing the maximum level of output in an economy of one good or group of goods in terms of another. At any point on this line, the economy is operating a...
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Answered by Harry H. • Economics tutor
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Differentiate y=e^(x)*sin(x) with respect to x

y=e^(x)*sin(x) Use the product rule: y'=uv'+vu' y=u*v Differentiate: u=e^(x) u'=e^(x) v=sin(x) v'=cos(x) Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x) Take out a factor of e^(x): y'=e^(x)*(cos(x)+s...
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Answered by Alexander J. • Maths tutor
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Which past tense do you use when?

In German, there are 3 ways of forming the past tense . The easiest 2 are the Perfect and Imperfect , and there is another slightly more complex form called the Pluperfect . As a quick summary, the Perfect t...
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Answered by Grace C. • German tutor
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How is Sonata Form an Effective Tool for Creating a Musical Argument?

The structure of Sonata Form - consisting of an Exposition, Development, and Recapitulation (sometimes with Coda) - gives ample room for the execution of a musical argument. In the exposition, all musical ma...
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Answered by Oscar O. • Music tutor
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