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Given that f(x) = 1/x - sqrt(x) + 3. Find f'(1).

We are given that f(x) = 1/x - sqrt(x) + 3. Here, f(x) represents a function. A function is a relation or expression involving one or more variables. We are able to differentiate f(x) in order to find the gr...
Answered by • Maths tutor
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[based on MAT 2018 (G)] The curves y = x^2 + c and y^2 = x touch at a single point. Find c.

If helpful draw a diagram to see what is going on, but keep the time in mind! From your sketch it should be apparent that c must be positive and that the single point of contact of the curves is above the x-...
Answered by • MAT tutor
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What is the difference between 'qui' and 'que' in subordinate clauses?

'Qui' and 'que' are relative pronouns, both meaning either 'who' or that'/'which'. The problem is that the French grammar works differently to English grammar when it comes to relative pronouns, meaning a di...
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Answered by Annie H. • French tutor
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The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.

y = (7-3x)/2m = -3 / 2 therefore:Y = 2 / 3 X + cwhen Y = 4 and X = 3, c = 2therefore b = 2 / 3 a + 2
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Answered by Dilan P. • Maths tutor
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How could ionic interactions be used in DNA-RNA hybridisation?

The DNA double helix consists of many hydrogen bonds between the base pairs, but in addition there are negatively charged phosphate molecules as a key component of the sugar-phosphate backbone of DNA strands...
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Answered by Mohammed A. • Biology tutor
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