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Integrate ((5x^3) + ((2x)^-1) + (e^2x))dx.

int(5x 3 + (2x) -1 + e 2x )dx =int(5x 3 )dx + int((2x) -1 )dx + int(e 2x )dx int(5x 3 )dx = (5/4)x 4 + c where c is the constant of integration int(2x -1 )dx = (1/2)ln(2x) + d where d is another constant of ...
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Answered by Danny L. • Maths tutor
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Fully simplify (8a^2b * ab^4)/(2a^3b^2)

8a 3 b ab 4 2a 3 b 2 (can write this more clearly by hand using whiteboard) First go about seperating and collecting terms. Begin with the top line. 8 remains the same as there are no other known numbers. We...
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Answered by Archie I. • Maths tutor
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Given that x(a+bx)(a-bx)=25x-4x^3, what is the value of b^(-a)? a,b>0

It's a two part question. First Part Expand the equation the left hand side to get a^(2)*x-b^(2)*x^3 thus comparing co-efficients a^2=25 and b^2=4 thus a= 5 b=2 Second Part Therefore b^(-a) is equal to 2^(-5...
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Answered by Cameron P. • Maths tutor
10622 Views

Solve the inequality 7x+3y-4 > 5y-19x for y in terms of x.

7x+3y-4 > 5y-19x Adding 19x to both sides: 26x+3y-4 > 5y Subtracting 3y from both sides: 26x-4 > 2y Divide both sides by 2 to put the expression in its simplest form: 13x-2 > y or (remembering to...
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Answered by Danny L. • Maths tutor
4323 Views

How did the Nazi party win the hearts and minds of the German population in the 1930s?

This question is very broad and there are many reasons for how the Nazi party were popular in Germany. Examples include their use of propaganda, most specifically their rhetoric of the 'volksgemeinschaft', m...
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Answered by George A. • History tutor
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