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Why do we get cos(x) when we differentiate sin(x)?

If we have an equation for a line, it follows a certain shape when put it on Cartesian axes. If we wish to find the value of the gradient of the graph at a certain coordinate, we can use differentiation t...

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Answered by Sophie H. Maths tutor
5481 Views

Prove that the lines 2y=3-x and y-2x=7 are pependicular.

We can find out whether lines are perpendicular by comparing their gradients. Each gradient should be the negative reciprocal of the other - for example, 3/2 and -2/3, or 4 and -1/4. (Writing the number a...

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Answered by Pranavi M. Maths tutor
3460 Views

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
7976 Views

Solve 3x - 5 < 16

The first thing you should always do when approaching questions like this is to get the numbers on one side and the letters on the other. This makes the equation simpler and helps you to solve it. By addi...

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Answered by Dannielle S. Maths tutor
16040 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

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    Answered by Mark M. Maths tutor
    3522 Views

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