F = (3x + 1)² + 9x² – 1 G= (5– x)(2x – 4) + (6 – 3x)? | H = x³ + 4x² – x – 4 3 %3D .2

Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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Q: Express in terms of i. 1. V - 100

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Q: U W V

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Q: Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

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Q: Find three positive numbers whose sum is 12 and whose sum of squares is as small as possible

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Q: Find X ,Y and Z

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Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

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Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

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A: ( d )chi-squared goodness of fit test for categorical data. The formula is as follows:Degrees of…

Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: 60° to 50° z° 50°

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Q: Find u. v. [1.14, -3.26, 2.09, -1.87] = [-2.29, 1.72, 4.33, -1.54] = V =

A: Given u=[1.14, -3.26, 2.09, -1.87] =[u1 u2 u3 u4] say   v=[-2.29, 1.72 ,4.33, -1.54]=[v1 v2 v3 v4]…

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Q: How did we find that variables x and y are independent?

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Q: 2. DG = 3x - 3 2x +2, EF D. G.

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Q: G (5,8) H (4,-5) J (17,-6)

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Q: 3 Q 4. Differentiate Vx2 Vx2 2 +

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.