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Lorraine M.
Tutor with more than seven years of experience
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Microeconomics
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Question:

Assume that apples are sold in a competitive market in which demand is relatively inelastic and supply is relatively elastic. Suppose that the government introduces a \$4 tax on the producers, on whom will the tax burden fall?

Lorraine M.

The tax burden will fall more on the buyers than on the sellers. The inelastic demand curve means that buyers are less likely to respond to higher prices, so they will bear most of the tax burden, while the elastic supply curve means that sellers will respond well to higher prices and will bear less of the tax burden.

Biology
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Question:

A cow with a red coat is crossed with a bull that has a white coat. All the offspring have red coats with white blotches. What does this indicate about the alleles that determine the red and white coat?

Lorraine M.

The alleles that determine coat colour, in this example, are co-dominant. Since the allele that determines a red coat is not recessive to the allele that determines a white coat, i.e both the alleles are dominant, the heterozygous offspring will express both the white and red coats, resulting in a coat that is red with white blotches.

Calculus
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Question:

Find the general solution to the following first order differential equation: (dy/dt) = 100-2y

Lorraine M.

(dy/dt) + 2y = 100 assume that an integrating factor u(t) exists u(t) (dy/dt) + 2u(t)y = u(t)100 assume that 2u(t) = u'(t) u(t) (dy/dt) + u'(t) y = u(t)100 let u(t) = e^(2t) then u'(t) = 2e^(2t) Therefore: e^(2t) (dy/dt) + 2e^(2t)y =e^(2t)100 (e^(2t)y)' = 100 e^(2t) integrate both sides of the equation e^(2t)y + c = 50e^(2t) +k e^(2t)y = 50e^(2t) + c divide through by e^(2t) y = 50 + ce^(-2t)

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