Write the simplified output of the transfer function of the following block diagram. R(s) G₁ Note: either move G2 or G3. H₁ G₂ H3 G3 H₂ G4 C(s)
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- Find the domain, range, matrix, and, when A =B, the diagraph of the relation R.az and ду az %3D 3. Find the of the function xsin(y+ z) – xy + z² = 2y. əxFor item 1 to 5, referring to Table 3.5. Consider the ff. data set, in which a maker of asphalt shingles is interested in the relationship between sales for a particular year and factors that influence sales. Y- sales(in thou $); X1- promotional accounts; X2- active accounts; X3- competing brands; X4- potential Table 3.5 Y X1 X2 X3 X4 291.9 9 56 10 160 4 42 4 339.4 6.5 73 16 159.6 5.5 60 11 7 86.3 5 44 12 12 237.5 6 50 6 6 107.2 5 39 4 6805 10
- The following table shows net income I Of and art dealer when he pays for supplies and sells n items. Find a linear model for the net income as a function of numbers of items sold. Write v as a linear combination of u1, u2, and u3, if possible.v = (0, 5, 3, 0), u1 = (1, 1, 2, 2), u2 = (2, 3, 5, 6), u3 = (−3, 1, −4, 2)Decide if the following are linear transformations. If yes, write the answer in standard matrix form
- The linear function of sales towards the component a,b,c, and d as below. Whiles, x1, x2,x3,x4, and x5 is the sales person who have responsible to deal with the company’s customerto buy the product.6x1 + 9x2 + 7x3 + 5x4 = 2506x1 + 4x2 + 7x3 + 3x4 = 1954x1 + 5x2 + 3x3 + 2x4 = 1454x1 + 3x2 + 8x3 + 2x4 = 125a) Develop the matrix of the component sales above.The linear function of sales towards the component a,b,c, and d as below. Whiles, x1, x2,x3,x4, and x5 is the sales person who have responsible to deal with the company’s customerto buy the product.6x1 + 9x2 + 7x3 + 5x4 = 2506x1 + 4x2 + 7x3 + 3x4 = 1954x1 + 5x2 + 3x3 + 2x4 = 1454x1 + 3x2 + 8x3 + 2x4 = 125a) Develop the matrix of the component sales above.b) Analyze what the number of each sales person contribute to that function of salesc) commenf what the solution that appropriate to solve this problemThe linear function of sales towards the component a,b,c, and d as below. Whiles, x1, x2,x3,x4, and x5 is the salesperson who have the responsibility to deal with the company’s customerto buy the product.6x1 + 9x2 + 7x3 + 5x4 = 2506x1 + 4x2 + 7x3 + 3x4 = 1954x1 + 5x2 + 3x3 + 2x4 = 1454x1 + 3x2 + 8x3 + 2x4 = 125 a) Develop the matrix of the component sales above. b) Analyze what the number of each salesperson contribute to that function of sales c) comment what the solution that appropriate to solve this problem
- Advanced Math 5. Find the change of coordinates necessary to express the quadratic form with a matrix A quadratic form with no cross-product terms. Use this to graph the set of points such that x Ax = 16. 10 as aO Give the matrix representation for the relation depicted in the arrow dia- gram. Then, express the relation as a set of ordered pairs. The arrow diagram below represents a relation. 2Brand Z annual sales are affected by the sales of related products X and Y as follows: Each $1 million increase in sales of brand X causes a $2.1 million decline in sales of brand Z, whereas each $1 million increase in sales of brand Y results in an increase of $0.4 million in sales of brand Z. Currently, brands X, Y, and Z are each selling $6 million per year. Model the sales of brand Z using a linear function. (Let z = annual sales of Z (in millions of dollars), x = annual sales of X (in millions of dollars), and y = annual sales of Y (in millions of dollars).)