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You are given the equation of the line y=x^3+x^2-2x. Find the stationary points of the curve and determine the maximum and minimum points and find where it crosses the x-axis and thus sketch the graph

First differentiate the equation to find the equation of the tangents in terms of x. From this set dy/dx=0 because this is the stationary points, from this use the quadratic equation to find the value of x f...
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Answered by Oliver H. • Maths tutor
4349 Views

Rearrange the following equation to make T the subject: (3T+A)/2 = B

T=(2B-A)/3
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Answered by Alice B. • Maths tutor
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Integrate $$\int xe^x \mathop{\mathrm{d}x}$$.

We use integration by parts. Set $u = x$ and $dv/dx = e^x$. This leads to $du/dx = 1$, and $v = e^x$. Then:\begin{align*}\int xe^x \mathop{\mathrm{d}x} &= xe^x - \int e^x \mathop{\mathrm{d}x}\&= xe^x...
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Answered by Christopher N. • Maths tutor
4527 Views

Where does the quadratic formula come from?

This is one of the most common a level math question. One which is essential to understand as it gives a firm understanding of core fundamental principles in math which are Completing the square and Algebra ...
RM
Answered by Riyadh M. • Maths tutor
3756 Views

At whats points does the graph of (t^2)+8t+7 intersect the x axis

Explain to the students what a one to many functions is which in this case is a quadratic, giving them an understanding of why there are two solutions, aided with the image of the quadratic. Followed by expl...
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Answered by Tutor133733 D. • Maths tutor
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