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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...
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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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How do you calculate the specific heat capacity of a substance?

c = EmΔt. With E being the thermal energy during the transfer, m being the mass of the substance, and Δt being the change in temperature.Usually they'll hide one of the values E, m or Δt in a different equat...
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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)) − ∫...
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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 ...
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Answered by Moyin A. Maths tutor
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