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R=1000e^-ct , it takes 5730 years for half of the substance to decay a. find the number of atoms at the start of the decay. b. calculate the number of atoms left when t=22920. c. sketch the function.

a.1000 b. R=62.5 c. Sketch
PU
Answered by Prasad U. • Maths tutor
5097 Views

How do you integrate ln(x)?

I would use the whiteboard and write down y=lnx, and also the integration by parts formula below it. I would then explain how to treat ln(x) as the "u" and "1" as dv/dx; including why thi...
JZ
Answered by Jamie Z. • Maths tutor
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How do you integrate xln(x) between the limits of 0 and 2?

In order to answer this question you need to use integration by parts.Using the standard integration by parts formula: ∫u dv/dx dx = uv-∫v du/dx dx.Let:u=ln(x) v=(1/2)x 2 du/dx=1/x dv/dx=xTherefore we get:I=...
LK
Answered by Lena K. • Maths tutor
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If a rectangle has sides (x+3) and (2x-1) and an area of 15, find x and the length of each side.

To find x, we need to create an expression from the information given. We know the area is 15 and that the area is equal to the length multiplied by the width. This gives us:(x+3)(2x-1) = 15Then we can expan...
JL
Answered by Jasmin L. • Maths tutor
5286 Views

Enzymes are proteins. Antarctic fish may have different structure of enzymes to non-antarctic fish. Explain how their enzyme structure may be different.

Enzymes would have different sequence of amino acids and therefore different primary structure. This would result in different shape of a protein ie their tertiary or, if present, quaternary structure.
DR
Answered by Daria R. • Biology tutor
6375 Views