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Integrate y=3x+2 with respect to x between the bounds x=5 and x=0, and state the physical significance of this.

47.5 units^2The area underneath the curve bound by the axis being integrated with respect to (i.e. x axis)

Answered by Harry W. Maths tutor
2657 Views

Make a the subject of the formula f=(a+1)/2

2f-1=a

Answered by Berin G. Maths tutor
8648 Views

Exand and simplify (x-2)^2

When tackling this question you cannot simply multiply what is in the bracket as this this is not fully expanded. First you must rewrite it as (x-2)(x-2). From here we can on expand the brackets by multip...

Answered by Joshua S. Maths tutor
6478 Views

Differentiate [ x.ln(x)] with respect to x

The product rule is used to differentiate this since we are trying to differentiate the product of 2 parts--x and ln(x)So using the product rule which is d/dx=u.(dv/dx) +v.(du/dx)let u=x and v=ln(x)then d...

Answered by Omolola L. Maths tutor
3531 Views

Find the area enclosed by the curve y = 3x - x^2 and the x-axis

Start with finding limits by setting 3x - x^2 = 0, then factorise x(3 - x) = 0. Therefore x = 0 or 3. The area is the integral of 3x - x^2 between x = 0 and 3, sub in 3 and 0 into 3(x^2)/2 - (x^3)/3, whic...

Answered by Sam B. Maths tutor
16716 Views

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