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Outline the advantages and disadvantages of Injection Moulding as a manufacturing technique.

Advantages: -> Repeatable - the same design can be achieved every time with very good accuracy. -> Economic - hundreds of copies of the design can be produced before the machinery needs to be maintaine...
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Calculate the total resistance of a circuit with a 300 ohm resistor and 250 ohm resistor in parallel with one another.

Remember that to calculate resistances in parallel, the formula we use is: 1/R t = 1/R 1 + 1/R 2 etc. So that gives us: 1/R t = 1/300 + 1/250 = 0.0073 To find the total resistance we just take the reciprocal...
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The average age of a group of 6 people is 21. One more person joins the group and the average is now 25. How old is the new member of the group?

To work out averages we add up all of the ages and divide by the number of people in the group. So that means in the first group, before the new person joined in, all the ages added up and divided by 6 equal...
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Answered by Alok K. Maths tutor
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Differentiate f(x) = 3x^2+5x+3

Remember the rules for differentiation? We take each term which looks like ax n where a and n are just numbers and we turn it into: (an)x n-1 So for this example, we go term by term and get: f'(x) = 6x 2 + 5...
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Answered by Alok K. Maths tutor
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The quadratic equation 2x^2-8x+1 = 0 has roots a and b. Find the value of a + b and ab

There is no need to solve the quadratic equation here. Use the formulae for the sum and product of roots where: a+b = -b/a and ab = c/a Therefore in this instance: a+b = -(-8)/2 = 4 and ab = 1/2
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Answered by Alok K. Maths tutor
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