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What is the double angle formula?

The double angle formula is how to combine/split trigonometric functions so that they can be integrated or simplified using identities. For example, cos (a+b)= cos(a)cos(b) - sin(a)sin(b) , which can be e...

Answered by Robert W. • Maths tutor

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Simplify 125^(-2/3)

Simplify 125^-2/3
A negative indices means that we need to reciprocate the number or "flip it":
125^-2/3 = (1/125)^2/3
A fractional indices can be sp...

Answered by Bethan H. • Maths tutor

5326 Views

The finite region S is bounded by the y-axis, the x-axis, the line with equation x = ln4 and the curve with equation y = ex + 2e–x , (x is greater than/equal to 0). The region S is rotated through 2pi radians about the x-axis. Use integration to find the

formula for volume of solid generated = 2pi x integral between limits of y²expand ( e^x + 2e^-x)²= e^2x+4+4e^-2xintegrate e^2x+4+4e<...

Answered by Kit T. • Maths tutor

7318 Views

I’m having some trouble understanding functions. Mainly concerning how to know what the input and outputs are. Could you give me an explanation?

The best way to think about a function is to see it as a machine. Your input is the item you put into the machine, the function is what the machine does, and then when you get out of the other side is you...

Answered by Chelsie J. • Maths tutor

3331 Views