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Differentiate with respect to x: w=4x^2 + 3sin(2x)

We will split this up and differentiate each part separately. We can differentiate 4x 2 using our normal rules for differentiating; we multiply the coefficient by the power and then subtract one from the pow...
EM
Answered by Emma M. Maths tutor
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What impact will interest rates have on the level of Aggregate Demand in the economy?

Aggregate Demand includes consumption, government investment, net exports and investment. Lower interest rates will make it less attractive for consumers to save, as the returns they will receive on their sa...
OP
Answered by Oliver P. Economics tutor
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By considering the mechanism of the two step reaction of butanone and NaBH4 followed by dilute acid, explain why the product has no effect on plane polarised light.

CH 3 -CO-CH 2 -CH 3 + 2[H] --> CH 3 -CHOH-CH 2 -CH 3 NaBH 4 is a reducing agent that effectively produces an H - ion to act as the reducing agent. The H - ion attacks the electrophilic carbon centre (elec...
AJ
Answered by Alex J. Chemistry tutor
16939 Views

Given that y=(4x+1)^3*sin(2x) , find dy/dx

y=(4x+1)^3 sin(2x) - this is a product of two functions of x. It can be rewritten as y = u(x) v(x) ; where u(x) = (4x+1)^3 and v(x) = sin(2x) Using the product rule: dy/dx = u'(x) v(x) + v'(x) u(x) where the...
CD
Answered by Chris D. Maths tutor
3792 Views

A bag contains red discs, white discs and blue discs. 1/6 of the discs are red, 1/4 of the discs are blue. What is the smallest possible number of white discs?

We are given the fractions representing the number of discs in the bag. When comparing fractions, we should first find a common denomenator for them. The smallest common denomenator for 6 and 4 is 12 (4 3=12...
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Answered by Grimonia C. Maths tutor
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