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A curve is given by the equation y=x^3-11x^2+28x; find the coordinates of the points where the curve touches the x-axis.

Since the equation has a cubic term, we can expect the curve to have certain properties: it should have three points where the graph touches the x-axis, two turning points, of which one should be a minimum a...
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Answered by Lui H. • Maths tutor
3748 Views

Solve 3x - 5 = 13

Algebra can be tricky to get a hold of but once you've worked through a few questions, you'll quickly get the hang of it!The aim of this question is to find x, that means the solution will look like this: x ...
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Answered by Tutor170840 D. • Maths tutor
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Solve D/dx (ln ( 1/cos(x) + tan (x) )

Solve D/dx (ln ( 1/cos(x) + tan (x) ) As always, we approach with a substitution method that we would normally use for differentiating ln (x). So, we try differentiate ln (t) with t= 1/cos(x) + tan(x)So we, ...
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Answered by Amera D. • Maths tutor
4420 Views

Expand 5yx^2 (3x^3 - 5xy + wy^2)

To do this we must multiply each of the individual terms inside the brackets by the outside terms. Be cautious of the negative term and its corresponding sign. We will go over the method in the uploaded file.
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Answered by Ishaaq N. • Maths tutor
3678 Views

By plotting appropriate graphs, find x to the nearest integer if x^2+3=2-4x.

Plot the graphs y=x^2+3 and y=2-4x. The solution(s) are the point(s) of intersection. The graphs can be plotted by making a table of values; this is the best method for the quadratic curve. The straight line...
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Answered by Samuel H. • Maths tutor
3282 Views