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If m=a^x, n=a^y, and a^2 =(m^y n^x)^z Show xyz=1.

If m=a x n=a y and a 2 =(m y n x ) z Show xyz=1. The above question is an indices question from an AS textbook. This is question 7 so I will tell you now that this is perhaps a higher difficulty question but...
JJ
Answered by Joshny J. • Maths tutor
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Integrate the following expression with respect to x by parts: (2*x)*sin(x)

The integration by parts formula: S:u dv/dx = u v - S:v*du/dx, where S: means "Integral of with respect to x" Let 2*x be u and sin(x) be dv/dx So du/dx =2 and v= -cos(x) So S:(2 x) sin(x) = (2 x) (...
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Answered by David P. • Maths tutor
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(8/125)^(-2/3)

Denominator of the power expression indicates the degree of the root in this case its the cubic root. Numeriator denotes the degree of power in this case squared. The negative sign means to inverse the base ...
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Answered by Andrew D. • Maths tutor
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When I integrate by parts how do I know which part of the equation is u and v'?

To determine which function is your u value in the by parts equation, you can use the acronym LATE to find the order of precedence for this value. LATE stands for: Logarithmic functions Arithmetric functions...
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Answered by Ben A. • Maths tutor
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Solve (3x +1)/x + (2x-1)/3 = -3, giving x to two decimal places.

(3x+1)/x +(2x-1)/3 = (2x 2 + 8x + 3)/3x by cross multiplying. So equation becomes 2x 2 + 8x + 3 = -9x by multiplying both sides by 3x. Adding 9x to both sides gives 2x 2 + 17x + 3 = 0. Using a calculator, an...
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Answered by Jorge A. • Maths tutor
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