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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 functi...

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 = (2x² + 8x + 3)/3x by cross multiplying.

So equation becomes 2x²+ 8x + 3 = -9x by multiplying both sides by 3x. Adding 9x to both sides gives 2x²

Answered by Jorge A. • Maths tutor

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A car is moving on an inclined road with friction acting upon it. When it is moving up the road at a speed v the engine is working at power 3P and when it is moving down the road at v the engine is working at a power P. Find the value of P.

Incline is at θ where sin θ = 1/20 and mass of the car is 800kg and v is 12.5 m/s

Up the road: Power = Fv F = R + (800g)/20

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Answered by Jonathan M. • Maths tutor

3138 Views

Given two functions f and g where f(x)=3x-5 and g(x)=x-2. Find: a) the inverse f^-1(x), b) given g^-1(x)=x+2, find (g^-1 o f)(x), c) given also that (f^-1 o g)(x)=(x+3)/3, solve (f^-1 o g)(x)=(g^-1 o f)(x)

a) For an inverse function- "inputs become outputs" so swap the positions of the input-variable (i.e "x") with the output variable (i.e f(x)) and then rearange. Once rearanged so that...

Answered by Kendra K. • Maths tutor

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The normal price of the pair of shoes is £28. In a sale the price is reduced by 35%. What is the new price of the shoes?

If you take £28, what is 10% of 28? 2.8 So what is 30% of 28? You would do 2.8 x 3... which is? 8.4 And what is 5% of 28? You would half 2.8...so 1.4 Now add together 30% of 28 and 5% of 28... this gives ...

Answered by Seyta D. • Maths tutor

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