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Find the derivative of f(x)=exp((tanx)^(1/2))

We use the chain rule. Let u(x)=exp(x), v(x)=x 1/2 , w(x) = tan(x). Then f(x) = u(v(w(x))). So by the chain rule, f'(x) = u'(v(w(x)))*(v(w(x)))'. u'(x) = exp(x). By the chain rule, (v(w(x)))' = v'(w(x)) w'(x...
LD
Answered by Luke D. • Maths tutor
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How are proteins synthesised?

Proteins are coded for by genes (a sequence of DNA that codes for a specific polypeptide), in the nucleus the DNA is unwound by an enzyme and then another enzyme with copy the template strand to make a molec...
BR
Answered by Billy R. • Biology tutor
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The price of coffee beans rose from $1.15 to $1.40 between June and August 2017. A possible cause of this rise is: a) Improved weather conditions in coffee-growing countries; b) An increase in national minimum wage in coffee growing countries.

The correct answer is b).The price mechanism is defined as the interaction between supply and demand for a good, which determines price such that quantities supplied and demanded are equal.An increase in nat...
GS
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How can I prepare for the LNAT multiple choice?

The LNAT is supposedly a test that you 'can't' prepare for. It is designed to test your natural aptitude for textual comprehension and structuring arguments - crucial skills for being a lawyer. However, ther...
ZR
Answered by Zara R. • LNAT tutor
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Acid HA has a Ka of 2.00 x 10-4mol dm-3. A solution was made by adding 15cm3 of 0.34 M NaOH to 25cm3 of 0.45M HA. Calculate the moles and the concentration of A- and HA in this solution. Using the expression for Ka calculate the pH of the solution

Write the equation : NaOH + HA --> NaA + H 2 O. Find the moles of A - : the moles of A - = the moles of NaOH added. 15 x 10 -3 x 0.34= 5.10 x 10 -3 . Workout the initial moles of HA : 25 x 10 -3 x 0.45= 0...
HS
Answered by Hibba S. • Chemistry tutor
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