For an enterprise, each worker gets $50 per day and the constant cost of this
enterprise is $300. Find the Average Product (AP), Marginal Product (MP),
Variable Cost (VC), Total Cost (TC), and Marginal Cost (MC). Show all of your
calculations. Explain the calculations of each.
Number of Labor
1
2
3
4
5
Total Product
3
6
8
10
11
Explain the fallacies of the following statement GNP is always greater than GDP
Suppose you have two capacitors 8.0 μF and 4.0 μF connected in series and parallel with points a and b whose potential
difference is 20 V. Find the equivalent capacitance and charge.
Suppose you have two capacitors 8.0 μF and 4.0 μF connected in series and parallel with points a and b whose potential
difference is 20 V. Find the equivalent capacitance and charge.
Example:
A steel railroad track has a length of 30.000 m when the temperature is 0°C. What is its length on
a hot day when the temperature is 40.0°C? (b) Suppose the track is nailed down so that it
can’t expand. What stress results in the track due to the temperature change
A square sheet of metal has sides 2p. The circle fits perfectly into the square:
2p
The area between the square and the circle is
A measure of how hot weather feels to an average person is the Apparent Temperature Index.
A model for this index is:
A = 0.885t − 22.4h + 1.20th − 0.544,
where A is the apparent temperature in degrees Celsius, t is the air temperature, and h is the
relative humidity in decimal form.
a) Find ∂A/∂t and ∂A/∂h when t = 300 and h = 0.80.
b) Which has a greater effect on A, air temperature or humidity? Explain.
Determine whether any of the lines are parallel or identical.
L1: x = 3 + 2t, y = −6t, z = 1 − 2t,
L2: x = 1 + 2t, y = −1 − t, z = 3t,
L3: x = −1 + 2t, y = 3 − 10t, z = 1 − 4t,
L4: x = 5 + 2t, y = 1 − t, z = 8 + 3t.
Write down T3(x), T4(x), and T5(x) for the Taylor series of f(x) = ln (3 + 4x) about x = 0.
Graph all three of the Taylor polynomials and f(x) on the same graph for the interval [−1/2,2]using programming tool.