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What is calculus?

Finding the gradient or area underneath a graph

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Answered by Andrew G. • Maths tutor

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The gradient of the curve at point (x,y) is given by dy/dx = [7 sqrt(x^5)] -4. where x>0. Find the equation of the curve given that the curve passes through the point 1,3.

Find the area of the region, R, bounded by the curve y=x^(-2/3), the line x = 1 and the x axis . In addition, find the volume of revolution of this region when rotated 2 pi radians around the x axis.

Find the first 3 terms and the sum to infinity of a geometric series with first term, 10 and common ratio 0.2

Find the gradient at the point (0, ln 2) on the curve with equation e^2y = 5 − e^−x

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