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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...

Answered by Dannielle S. • Maths tutor

7520 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...

Answered by Dannielle S. • Maths tutor

15287 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

Find the direction vector of line 1

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

Calculate the magnitude of both direction vectors

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Answered by Mark M. • Maths tutor
3238 Views

z = 3x + 5y, if x = 7 and z = 41, what is 2y?

z = 3x + 5y 41 = 3(7) +5y 41= 21 + 5y 20 = 5y 4 = y y = 4 2y = 8

Answered by Hannah A. • Maths tutor

3558 Views

How can I solve quadratic equations by completing the square?

When we have a quadratic (ax²+ bx + c = 0) we can "complete the square" to solve for x. For example x²+ 8x + 7 = 0. First look at the x²+ 8x, in particular th...

Answered by Thomas B. • Maths tutor

3237 Views