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Express 5/[(x-1)(3x+2)] as partial fractions.

5 = a(3x+2) + b(x-1), x = 1, 5 = a(3+2) +b (1-1), 5 = a(5) + b(0), 5 = 5a, a = 1, x = -2/3, 5 = a(-2+2) + b(-(2/3)-1), 5 = a(0) + b(-5/3), 5 = -5b/3, b = -3, Therefore: 5/[(x-1)(3x+2)] = 1/(x-1) -3/(3...

AP
Answered by Andrew P. Maths tutor
8413 Views

Compare and contrast the portrayal of the relationship Mrs Linde and Nora have with their parents.

Nora treatment of her father - leaving him on his deathbed - contrasts highlight with Mrs Linde's treatment, as she chose to care for her sick parent. Nora's treatment is reflective of her childlike natur...

MP
6308 Views

Differentiate sin(x)cos(x) with respect to x?

You will have to use the Product Rule. The Product rule: when y=f(x)g(x), then dy/dx=f'(x)g(x)+f(x)g'(x). In this example, f(x)=sin(x) and g(x)=cos(x). Hence f'(x)=cos(x) and g'(x)=-sin(x). Using these an...

MM
Answered by Matthew M. Maths tutor
5280 Views

Explain why Scandium is not considered a true transition metal.

By definition, to be a transition metal, is a d block metal, which forms at least one stable ion, with a partially filled 3d shell.
Scandium has one stable ion, Sc3+, which posses no 3d o...

JP
Answered by Joe P. Chemistry tutor
6045 Views

Factorise fully 6xyz + 24x^2yz + 18xy^3z^2

So we need to find common factors for each term: 6xyz, 24x2yz and 18xy3z2. Let's start with the numbers. Do the numbers 6, 24 and 18 have a common factor? Yes, 6 . If we t...

TL
Answered by Tom L. Maths tutor
3561 Views

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