1- For (a) solve .
2- For (b) start by finding the L/U limits of the integration.
3- You should post this in the calculus sub-forum.
Hello guys! Im having trouble with this question i would appreciate the help.
curve y=( 2x-3)^3
a) find the x coordinates of the two points on the curve which have gradient 6
b) the region shaded in the diagram is bounded by part of the curve and by the two axes. Find, by integration, the area of this region.
Thank you in advance!
For (b), You appear to have left out important information. You cannot find the area bounded by a curve without know what curve! Are you not given a formula for the graph?
So the points at which the gradient is are and .
(b) The curve cuts the -axis when (and ) and touches the -axis when ; i.e. when . So the area between the curve and the axes is:So the required area is sq. units.
, if my arithmetic is correct.