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The curve C has an equation y = sin(2x)cos(x)^2. Find dy/dx. Find normal to curve at x = pi/3 rad, giving answer in exact form.

Student should use a combination of trigonometric identities, product rule and chain rule to find dy/dx.This can be done by applying product rule, obtainingdy/dx = sin(2x). d[cos(x)^2]/dx + cos(x)^2. d[si...

Answered by Sunchi C. • Maths tutor

4083 Views

Solve the equation 3 sin^2 theta = 4 cos theta − 1 for 0 ≤ theta ≤ 360

I would convert the sin squared theta into a cos squared theta using identity that sin sq + cos sq = 1This would then give me a quadratic equation which I would substitute X = cos thetaThen I would solve ...

Answered by Mario L. • Maths tutor

9046 Views

What were the causes of the Nazi rise to pwoer?

Unpopularity of Weimar government and the bourgeoisie of Berlin and Munich Negative cohesion against the communist threatHitler's cult of personality and propaganda, for example Mein Kampf written in Land...

Answered by Emily J. • History tutor

2102 Views

Simplify 125^-2/3

125^-2/3= 1/125^2/3=1/(cube root(125))^2=1/5^2=1/25

Answered by Amy W. • Maths tutor

3328 Views

The circle C has centre (3, 1) and passes through the point P(8, 3). (a) Find an equation for C. (b) Find an equation for the tangent to C at P, giving your answer in the form ax + by + c = 0 , where a, b and c are integers.

A)1) Draw a diagram of the circle displaying the centre and perimeter points along with their respective co-ordinates.2) Write down the equation for a circle labelling the centre and perimeter points. 3) ...

Answered by Patrick V. • Maths tutor

8829 Views