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Shape S is one quarter of a solid sphere. The volume of S is 576(pi)cm(^3). Find the surface area of S correct to 3 significant figures

Radius is the only property of a sphere that is used to define surface areas and volumes. We need to find what the radius is from the information that the question has given us. S is a quarter sphere, and we...
JW
Answered by Joe W. • Maths tutor
15290 Views

Factorise X^2 + 13x + 42; from this, please give the answer to X^2 + 13x + 42 = 0

This question aims to look at quadratic equations. We factorise Quadratic equations into two sets of bracketsFirst, we are dealing with X 2 . X 2 is formed from X multipled by X, so each bracket should conta...
KA
Answered by Khalid A. • Maths tutor
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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
5115 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
3949 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)x 2 du/dx=1/x dv/dx=xTherefore we get:I=...
LK
Answered by Lena K. • Maths tutor
1957 Views