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Find the equation of the tangent to the curve y=3x^2-7x+5 at the point (2, 3) .

The starting point for a question like this is to differentiate the function - in this case the curve y=3x2 -7x+5 . We calculate that dy/dx=6x-7 . The question tells us that we are interested i...

MS
Answered by Matthew S. Maths tutor
7434 Views

Approximately how long is a double-stranded DNA molecule with a molecular weight of 3x10^9 g/mol? Assume the molecular weight of one nucleotide is 333 g/mol, and that there are 10 base pairs for each turn of the DNA helix equalling 3.4nm in length.

Let's begin by assessing the molecule. If we divide the molecular weight by two, that will give us the weight for one strand of the helix. Knowing that one nucleotide is 333 g/mol, then dividing the wei...

AV
10096 Views

If a solution, contained in a 1cm cuvette, has an absorbance value of of 0.865 A.U, and concentration value of 2mM. What is the value regarding the molar extinction coeffient?

Firstly, using Beer-Lambert's equation. It is noted, that absorption is equal to the molar extinction coefficient, multiplied by the path length of light, multiplied by the concentration of the solution.T...

AV
Answered by Aaron V. Chemistry tutor
1633 Views

Why does tanx = sinx/cosx ?

This identity can easily be shown by asking the student to draw a right-angled triangle, with one of the remaing two angles labelled x, and labelling the respective oppposite, adjacent and hypotenuse side...

SR
13500 Views

How do I improve my QR score?

The greatest problem with the quantitative reasoning section is without a doubt the time pressure. One of the ways to tackle this is to be able to quickly ascertain which questions will take too much of y...

DV
Answered by Dan V. UCAT tutor
1499 Views

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