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Maths
A Level

Integrate 3 sin(x) + cos(2x)

Here is an example of integration where you would use the chain rule. You would begin by integrating 3sin(x) to get -3cos(x) and then cos(2x) to get 1/2sin(2x). This is because whatever is multiplied by t...

DS
Answered by Dannielle S. • Maths tutor
7508 Views

How do you find the angle between two lines in three dimensional vector space given two points on line 1 and the vector equation of line 2

  1. Find the direction vector of line 1

  2. Find the scalar product of the direction vectors of lines 1 and 2

  3. Calculate the magnitude of both direction vectors

    MM
    Answered by Mark M. • Maths tutor
    3229 Views

Write 36% as a fraction in its simplest terms.

36%= 36/100

Divide it by 2, the answer will be 18/50.

It can then be divide by 2 again and getting to the answer of 9/25. 

LY
Answered by Li Ying O. • Maths tutor
9468 Views

A ball is projected at an angle b from the horizontal. With initial velocity V the ball leaves the ground at point O and hits the ground at point A. If Vcos(b) = 6u and Vsin(b) = 2.5u, how long does the ball take to travel between O and A.

This is a classic 2-D projectile question.

The best way to solve this problem is to split the velocity into its x and y components.

In the x-direction a projectile has no forces acting on it...

TC
Answered by Tristan C. • Maths tutor
7598 Views

Find the volume of revolution when the area B is rotated 2 pi radians about the x axis

First must recall the formula, of pi multiplied by the integral of y2

After this, the correct integration should be applied, using an appropriate method that the student has learnt

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LS
Answered by Louis S. • Maths tutor
7932 Views

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