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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

Answered by Prasad U. Maths tutor
3900 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 ...

Answered by Jamie Z. Maths tutor
2684 Views

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)x2du/dx=1/x dv/d...

Answered by Lena K. Maths tutor
1202 Views

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 ex...

Answered by Jasmin L. Maths tutor
3708 Views

Work out: 3 ½ – 2 ⅓ Give your answer as a improper fraction

3 ½ = 7/22 ⅓ = 7/3To add or subtract 2 fractions, the denominator (bottom number) must be the same. To create a common denominator we can multiply the first fraction by 3 and the second by 2.This gives us...

Answered by Mai S. Maths tutor
7013 Views

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