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How do you calculate the angle between two vectors?

The formula a x b = | a || b |sinθ is given in the formula bookletTherefore, θ, the angle between both vectors a and b is equal to sin -1 (( a x b )/(| a || b |))Remember, a x b can be found by multiplying a...
GT
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How do you factorize a quadratic when a ≠ 1 when ax²+bx+c=0

First check if a, b and c all have a common factor.For example, if we have 3x²+6x+3=0, we can divide both sides by 3 and get x²+2x+1=0, which is easier to solve.If a,b and c do not all have a common factor w...
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4589 Views

How do you integrate by parts?

Using the formula (given in the formula booklet):∫ u(dv/dx) dx = uv − ∫ v(du/dx) dxFor example if we want to integrate ∫xsin(x) we can take x to be u and sin(x) to be (dv/dx).So ∫ xsin(x) dx = x(-cos(x)) − ∫...
GT
1669 Views

Solve the simultaneous equation by elimination: 3x + y = 11 and 5x + y = 4

Simultaneous equations have at least two unknowns that must have the same value in each equation. This means the value of x and y in both equations must be the same. To solve this by elimination, the aim is ...
MA
Answered by Moyin A. Maths tutor
4676 Views

Using answer to previous question state the coordinates of the minimum

From previous question y=2(x+2) 2 -1Minimum would be when (x+2) 2 is at it's smallest value, in this case when (x+2)=0 since any other value squared would be greater than 0. This occurs when x=-2, and y at t...
MC
Answered by Matilda C. Maths tutor
3608 Views