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- Consider the net revenue function given by S(p, u, v) = R(p, v) – E(p, u) in our usual notation. Letting m denote the vector of imports, Select one: a. S(.) is convex in p and Sp=m. O b. S(.) is convex in p and Sp=-m. O c. S(.) is concave in p and Sp=-m. d. S(.) is concave in p and Sp=m.arrow_forwardQ.4. Let a, 3 and b (a) Determine if bis a linear combination of a,, a, and a,. (b) Determine if the vectors a,, a, and a, are linear independent.arrow_forwardSuppose the vector x characterizing the antigenic state of an influenza virus population changes from one season to the next according to the equation 23 Xt + 1 ¹ -[3.39]** 0 0.9 If the vector in the current season is [...] what was the vector in the previous influenza season? ↓ 1arrow_forward
- Experiment 12: One- and Two-Dimensions Interpolation 1. Create x and y vectors to represent the following data: 10 23 20 45 30 60 40 82 50 111 60 140 70 167 80 198 90 200 100 220 1. Plot the data on an x-y plot. 2. Use linear interpolation to approximate the value of y when x = 15. 3. Usc cubic splinc interpolation to approximate the value of ywhen x = 15. 4. Use linear interpolation to approximate the value of x when y = 80. 5. Usc cubic splinc interpolation to approximate the value of xwhen y = 80. 6. Usc cubic spline interpolation to approximate yvalucs for xvalucs cvenly spaced between 10 and 100 at intervals of 2. 7. Plot the original data on an x-y plot as data points not connected by a linc. Also, plot the values calculated in Exercise 6.arrow_forward7.) for which value(s) of k are the following vectors linearly independent? u = (k. - w =arrow_forward3.10arrow_forward
- help with question 2arrow_forwardAn autopart is manufactured by a company once a month in lots that vary in size as demand fluctuates. The data below represent observations in lot size (v) and number of man-hours (x) for 10 recent production runs. In vector form the data are: 1 20 1 30 1 60 1 80 1 40 1 50 1 60 73 50 128 170 87 X = Y = 108 135 1 30 69 1 70 1 60 148 132 Find the least square estimator 3 of the parameter vector (Bo, ß1)' .arrow_forwardSuppose we have a large sample containing variables A, B, and C. The angles between each vector pair are provided below: ZĀB = 175° ZBC = 105° LĀČ = 37° Provide the correlation matrix and explain in English the relationship of angles between vectors to correlations between variablesarrow_forward
- Show that the vector a =(-1,13, – 5)can be written as a linear combination of b= (1, 4, – 2) and c= (3, – 5, 1). 10.arrow_forward2.10 If A, B, and C are noncoplanar vectors (that is, A, B, and C are linearly independent), determine if the following set of vectors is linearly independent: r₁ = A- 3B +2C, r₂ = 2A-5B +3C, r3 = A - 5B + 4C.arrow_forward5 Find the length of the vector a %3D ||#||arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
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