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Integrate (x)(e^x) with respect to x and then integrate (x)(e^x) with respect to y.

i) By integration by parts, we see that it equals (x)(e^x)-(e^x)+C, where C denotes the constant of integration. ii) (x)(y)(e^x)+C, where C denotes the constant of integration.
RV
Answered by Rohan V. • Maths tutor
5108 Views

How do you find the possible values of cos(x) from 5cos^2(x) - cos(x) = sin^2(x)?

First, you start by replacing sin^2(x) with 1-cos^2(x) as you want the equation to be in terms of cos(x) and you know sin^2(x)+cos^2(x) = 1. Then you rearrange the equation to get 0 on one side so that you c...
GK
Answered by Gowri K. • Maths tutor
4978 Views

What does Pythagoras's theorem state?

It states that for a right-angle triangle, the square of the hypotenuse equals the sum of the squares of the other sides. So if a denotes the hypotenuse, a^2 = b^2 + c^2.
RV
Answered by Rohan V. • Maths tutor
5313 Views

For a vehicule with a constant acceleration (5 m/s^2) starting at rest, how long would it take to travel 1 km?

as the acceleration is constant, to travel 1km=1000m, we use 1000 m =(1/2) (5 m/s^2) t^2, so t=sqrt(2 1000/5)=20 seconds
DR
Answered by David R. • Physics tutor
2826 Views

Describe and explain how social, economic and cultural factors can affect birth rates

Social factors can have a considerable effect on birth rates. Education levels greatly effect birth rates, educated woman are much more likely to be career mind and less intent on having large numbers of chi...
AB
Answered by Alex B. • Geography tutor
9191 Views