# Tutor profile: Shikhar S.

## Questions

### Subject: Calculus

find y' using implicit differentiation: e^(x) - cos(y) = x

e^(x) + y'sin(y) = 1 y' = ( 1 - e^(x)) / sin(y) y' = (1 - e^(x))cosec(y)

### Subject: Economics

What opportunity cost does society face if there is an increase in unemployment? a) loss in the national output b) the fiscal deficit of the government, as a result of paying unemployment benefits c) the rise in the taxation level to pay for unemployment benefits d) fall in disposable incomes, as a result of people losing their jobs

Opportunity cost is the next best alternative forgone when making a choice/decision. Unemployment means that the country is operating inside its production possibility curve. The opportunity cost is the loss in national output that occurs, as those unemployed are no longer producing those goods and services that could have been produced if they were employed.

### Subject: Algebra

e^(2x) - 6e^(x) = -8

e^(2x) - 6e^(x) = -8 e^(2x) - 6e^(x) + 8 = 0 let e^(x) = y y^(2) - 6y + 8 = 0 y^2 - 4y - 2y + 8 = 0 y(y - 4) - 2(y - 4) = 0 (y - 4)(y - 2) = 0 y = 4, y = 2 e^x = 4 => x = ln(4) e^x = 2 => x = ln(2)

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