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Given y = 2sin(θ) and x = 3cos(θ) find dy/dx.

The function is defined parametrically so we usually approach these questions using chain rule.Recall that: dy/dθ * dθ/dx = dy/dx So we will need to differentiate each expression individually then multiply t...
JC
Answered by Jacob C. Maths tutor
5639 Views

work out 3 1/2 - 2 1/3. Give answer as an improper fraction

change everything to sixths. 21/6 - 14/6 = 7/6
MS
Answered by Maiya S. Maths tutor
3885 Views

which of these angles is obtuse?

An obtuse angle is an angle that is greater than 90degrees but less than 180 degrees. when looking at the diagram all angles apart from B are acute (as they are less than 90 degrees) Therefore B is the obtus...
MS
Answered by Maiya S. Maths tutor
3123 Views

How can I find the normal to a curve at a given point?

Take the curve y = 2x 2 - 4 and point P (2,4) . a) First, find the straight line tangent to the curve at point P . This will have the gradient of the curve at point P . To find it, differentiate: dy/dx = 4x ...
AP
Answered by Artyom P. Maths tutor
5121 Views

Sketch y = 9x – 4x^3, showing where the curve crosses the x axis.

First you should look at the equation and try and get a sense of the general shape of the graph. The highest power in here is a 3, so this is a cubic graph. The coefficient (number in front of the x^3) is a ...
AE
Answered by Anais E. Maths tutor
5979 Views