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Homework Questions:
1. How might widespread public ownership of business and the extensive government regulations in India, have affected the efficiency of the state and private businesses and the rate of new business formation in India during the 1947-1990 time Frame? How do you think this factors affected rate of economic growth in India during this time frame?
2. How would privatization deregulation and the removal of barriers to foreign direct investment affect the efficiency of business, new business formation, and the rate of economic growth in India during the post-1990 time period?
Given that X2 is in the model, does X1 contribute to predicting the dependent variable at the .05 significance level?
Find an expression for the velocity vs. distance.
A shipment of 25 television sets contains three defective units. In how many ways can a vending company purchase four of these units and receive
Suppose that L is the tangent line at x = x0 to the graph of the cubic equation y = ax3 + bx. Find the x-coordinate of the point where L intersects the graph a second time.
If it was an experiment, was it a randomized comparative experiment?, blinded? Matched-pairs? What are possible sources of bias/issues with how the data were selected? How might this affect your results?
Use the method of separation of variables, with Θ(x,t) = X(x)T(t), to show that the function X(x) satisfies the differential equation X′′ - μX = 0 for some constant μ. Write down the corresponding differential equation that T (t) must satisfy
Area of a triangle. The base of a triangle is 4 inches longer than the height. If its area is 70 square inches, then what are the base and the height?
Let V be P4 with the inner product in Example 2, involving evaluation of polynomials at -2, -1, 0, 1, and 2, and view P2 as a subspace of V. Produce an orthogonal basis for P2 by applying the Gram-Schmidt process to the polynomials 1, t, and t2.
Are the polltaker's figures consistent? Could they have occurred as a result of an actual sample survey?
Calculate the value of population mean.
The perimeter of a rectangle of a rectangle is 36 ft. The length is 2 ft longer than the width. Find the dimensions. Write a system of linear equations and solve the resulting system. Let x be the length and y be the width.
Let n be "the smallest integer not describable in fewer than 12 English words." (Note that the total number of strings consisting of 11 or fewer English words is finite.)
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