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For what values of k does the graph y=x^(2)+2kx+5 not intersect the x-axis

Where the graph intersects the x-axis, x 2 +2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x 2 +2kx+5 = 0 not have a solution?This is now a simpler problem (roots of...
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Answered by Hugh K. • Maths tutor
30603 Views

How do you do integration by parts?

When you see a complicated product, split it into the form u.v', where u and v' are algebraic expressions such as x^2. You can then use the formula: uv'=uv-integral(vu') which you would take between any limi...
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Answered by Andrew B. • Maths tutor
3655 Views

what are the different types of capital expenditure appraisal?

Capital expenditure appraisal is the evaluation of investment opportunities. 1. Payback method = The payback method involves calculating the payback period. This is the amount of time it takes a business to ...
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Answered by Cecily Y. • Accounting tutor
15059 Views

What is the fluid mosaic model?

The fluid mosaic model describes the composition and function of cell membranes. Membranes are made of lipids and proteins (and a few other bits and bobs but don’t worry about that here). The lipids and prot...
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Answered by Nick O. • Biology tutor
4674 Views

How do genes affect illness?

A gene is a segment of DNA that carries the instructions for a specific trait, such as eye colour or how well you can digest food. When DNA is damaged or is copied incorrectly this changes the gene and so th...
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Answered by Nick O. • Biology tutor
3228 Views