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(Core 2) Show that the region bounded by the curve y = 7x+ 6 - (1/x^2), the x axis and the lines x = 1 and x = 2 equals 16

The question wants us to confirm the answer so the marks will be in the method unlike most questions which require you to find the answer. How to approach this is by thinking what ways can we calculate ar...

Answered by Lewis J. • Maths tutor

3455 Views

A curve (C) with equation y=3x^(0.5)-x^(1.5) cuts the X axis at point A and the origin, calculate the co-ordinates of point A.

Insert 0 into the equation in place of Y as the Y co-ordinate is always 0 across the X-Axis.0 = 3x^0.5-x^1.5The x^0.5 can be factored out from the 3x^0.5 and the x^1.5 giving you...x^0.5(3-x^1) = 0 [As x^...

Answered by Jack M. • Maths tutor

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Differentiate and find the stationary point of the equation y = 7x^2 - 2x - 1.

First we will differentiate the equation.
To differentiate the equation we must multiply the coefficient by the power, and then subtract the power. If the is no x within an element the element become...

Answered by Elise W. • Maths tutor

3196 Views

A ball is released from rest at a height of 4m. At what speed does it hit the ground?

First write out information from the question.s=4m u=0m/s v=? a=9.8m/s² t=Choose correct "suvat" equation: v²=u²+2asSubstitute in known variables.Obtain v= 8...

Answered by Molly A. • Maths tutor

3397 Views