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The mean of a group of numbers is found by dividing their sum by how many numbers there are.

Mean=(1+7+25+9+34)/5=76/5=15.2

Write as y=uv u=x v=e^x

du/dx=1 dv/dx=e^x 

Using the product rule, dy/dx=vdu/dx + udv/dx

So dy/dx=e^x(1)+x(e^x...

y = 2x^2 + 4x - 8y = 2( x^2 + 2x - 4)Completing the square:y = 2( (x+1)^2 - 1 - 4 )y = 2(x+1)^2 -10the vertex of graph lies at the minimum value of y, and this occurs when x = -1:y = 2(-1+1)^2 -10y = -10t...

So we have the equation initially in the form 3^(5x-2)=4^(6-x), and as the solution involves log10, then  a sensible first move would be to take log10 of both sides, giving log10(3^(5x-2)) = log10(4^(6...

Starting on the left hand side we can expand out the brackets to get:
(sinx + cosx)(sinx + cosx)
sin²x+sinxcosx+sinxcosx+cos²x
Grouping together the like terms we can ...