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How do we work out the asymptotes of the graph y=1/x -5

In most core 1 papers this kind of question is usually asked. First of all an asymptote is a line that is close to an axis but never touches it. Now look at the graph as a normal reciprocal graph of y=1/x...

AB
Answered by Aniqah B. Maths tutor
8579 Views

If y=3x^3e^x; find dy/dx?

Using the product rule we know that dy/dx = uv' + vu' where u = 3x^3; v = e^x. e^x differentiates to itself multiplied by any number in front of the x. u' = 9x^2; v' = e^x. Therefore dy/dx = 3x^3e...

AG
Answered by Aimee G. Maths tutor
5520 Views

Why do you not add the 'plus c' when finding the area under a graph using integration even though you add it when normally integrating?

when integrating with the limits, you substitute in the two limits into the integral and then take them away. As both will have added the constant 'c', you are taking c away from c and so cancel out, so i...

NM
Answered by Neha M. Maths tutor
5323 Views

For a given function F(x), what does the graph of the function F(x+2) look like in comparrison to F(x)?

F(x+2) is simply F(x) but whenever you see an 'x' replace it with 'x+2'. So when x is say 3, F(x) is F(3) and F(x+2) is F(5). If we draw this out on a graph, we see that this has the effect of shifting th...

JS
Answered by James S. Maths tutor
3506 Views

Emma wants to buy a radio, the full price is £80. In the shop, she is given a discount. A year later, she sells the radio for £78, giving her a profit of 30% of what she bought it for the year before. What discount did she receive? (4)

Finding what Emma paid for her radio £78 / 1.3 = £60 (M1) (A1)

Finding what percentage of £80 that is £60 / £80 = 0.8 or 80% (M1)

Recognising the discount is 20% ie. 1-0.8=0.2 (A1)

HR
Answered by Helena R. Maths tutor
3107 Views

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