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Simplify √ 12 + √ 75

First, the surds need to be simplified. Surds can be simplified by finding the highest square number that is a factor of the number in the square root.√12 = √(4 x 3) = √4 x √3 = 2√3√75 = √(25 x 3) = √25 x √3...
GR
Answered by Georgia R. • Maths tutor
18375 Views

How do you know when to integrate by parts?

This is usually a good idea if you have an integral with two functions multiplied together when one of the functions differentiates to a constant (could take more than one differentiation).For example to fin...
DH
Answered by Dominic H. • Maths tutor
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Where does the circle (x-6)^2+(y-7)^2=4 intersect with y=x+3

Where does the circle (x-6) 2 +(y-7) 2 =4 intersect with y=x+3We need to sub y=x+3 into the circle equation giving us an equation in just x:(x-6) 2 +(x-4) 2 =4Next we expand out the brackets:x 2 -12x+36+x 2 ...
NL
Answered by Nicola L. • Maths tutor
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5y = 45

5y = 45y = 45/5y = 9
GB
Answered by Georgie B. • Maths tutor
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dh/dt = (6-h)/20. When t=0, h=1. Show that t=20ln(5/(6-h))

Part 1: This question requires us to first do some rearranging. The right hand side of the equation is in terms of h, and we are looking to find t in terms of h, so it won't be appropriate to simply integrat...
LA
Answered by Linetta A. • Maths tutor
4756 Views