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How do I add up the integers from 1 to 1000 without going insane?

Suppose you are asked by your teacher to sum all the integers from 1 up to 1000. You might be thinking they must hold some kind of grudge against you. If you try to calculate the sum by adding on each intege...
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Answered by Matthew B. • Maths tutor
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Differentiate y=(4x - 5)^5 by using the chain rule.

Notation: I use the ^ in the title question to indicated 'to the power of' and I use an asterisk * (or star) to indicate 'multiplied by' in the answer, to avoid confusion with the x term! Step 1) let u = 4x ...
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Answered by Joseph E. • Maths tutor
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Finding Roots of Quadratic Equations

Finding Roots of Quadratic Equations What is a root to an equation? A root to an equation is a set of value(s) that satisfy the equation and when shown graphically they are the x values at which the function...
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Answered by Alexander G. • Maths tutor
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What are the differences between decimal points and significant figures?

The total number of digits to the right of the point are known as ' decimal points ' whereas significant figures start from the first non-zero number. Note : As significant figures start from the first non-z...
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Answered by Niall L. • Maths tutor
84882 Views

How do I find the length of a side of a triangle using the cosine rule?

Suppose we have a triangle with 2 sides of length 4 and 5 (in any units), and the angle between those sides is 60 degrees. We want to find the length of the side opposite the 60 degree angle. Write the cosin...
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Answered by Angus H. • Maths tutor
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