Evaluate: (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D) show complete solutions

Q: s+10 B:1: Solve 1. L { t²cosat) 2. L-1{2+₂} (s²-s-2)

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Q: Example 9.1. Form the difference equation corresponding to the family of curves Y = ax + hr²

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Q: Example 10.3. Solve y'= x + y, y(0) = 1 by Taylor's series method. Hence find the values of y at x =…

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Q: 1. Let z, y ER" be given. (a) If ||z||||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and…

A: \documentclass{article}\usepackage{amsmath,amssymb}\begin{document} (a) Norm x=Norm y=1\\ Let angle…

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A: Divides the region in two parts .

Q: Which is Larger? 2015/2015! OR 2016/2016!

A: We need to identify , which of the following number is larger. 2015 !2015    or  2016 !2016 This can…

Q: Consider the piecewise function 2+x² x<0 x=0 g(x) = 1, 2-³, 0<x< 1 2-x x 21 (a) For each of the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Question (2): Let f,g: R R = R- 0 be any continuous functions. are they homotopic?

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Q: QUESTION 17 The volume of the solid generated by revolving the region bounded by x² = 4y b formula…

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Q: Evaluate the line integral along the curve C. 1. 21 10 21 2. 20 21 3. 20 8 ds, C is the curve r(t) =…

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Q: numbers, then show that Q(√2, √3)= Q(√2+√3)

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Q: 3. A loan of 7 quarterly payments of Php.8,300 is to be made, to pay for a loan at 10% compounded…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)²=2y, the…

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Q: ve y=-x³. 16 Find the area bounded by the curve O 8 square units O 16 square units AA sauare unite 2…

A: The area bounded by the curves f(x) and g(x) is given by ∫abf(x)-g(x)dx y=116x3-34x2+3xy=x equating…

Q: Which of the following function has the Macularin series (-1)"4"x² [(-1)"4" 1 n=0 A. 1 B. 1 - 2²

A: Given the Macularian series                                 ∑n=0∞-1n4nx2n

Q: find the equation of the plane through P(1, 3, 2) that is parallel to the plane 5x - 4y + 3z = 7

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Q: A={1, x, x²} and A'= *-·A·D· Let Z: P₂ → R³ be the linear transformation given: a + 2b + c…

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Q: If F is a finite field of characteristic p, then aap is an automorphism of F.

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Q: convert the cylindrical (5, pi/3, 2) to rectangular

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Q: By using the method of least squares, find the best line through the points: (2,-3), (-2,0), (1,-1).…

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Q: C. Identify each angle without actual measuring 2. 5. 4. 7 A four pairs 3 point c Analyze an L The…

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Q: in extension of a fie elements in K which ver F from a subfie

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Q: (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.

A: (b)  We can do this directly using the principle of inclusion-exclusion. Labelthe vertices of Cn…

Q: 3. Let R be the region lying outside r = 1 and inside r = 1 + cos 0. (i) Sketch the graph of the…

A: The area that is enclosed by a polar curve represented by r=fθ with θ∈a,b is formulated by the…

Q: Complete the following table to evaluate the limit lim Step lim x+√x Step 1 Step 2 Step 3 Step 4…

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Q: A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j…

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Q: Example 12.14. Find an optimal solution to the following L.P.P. be computing all basic solutions and…

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Q: The length of time, in minutes, it took each student in a class to complete a test.…

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Q: Which first order DE is variable separable? dy dx =y²cosx-y²sinx = 1 + xy =ycosx-xsiny =(x-y)² dy dx…

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Q: 2y"-3y"- 3y + 2y = (e*+ex)²

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Q: acid, HO₂C H, the first ionizatio Ka₂=4.2. Why is the second carboxyl g

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Q: Determine whether the given linear operator/matrix is diagonalizable. (a) T : R³ → R³ with T(1, 1,…

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Q: Let K be a field estension of a field F and let a1, a2,.....an be elements in K which are algebric…

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Q: verse of a Matrix I. Use the determinant test for no singularity to determine hether items 1-5 of…

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

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Q: Solve the following system of nonlinear equations 2x₁x₂20 x₁² - 4x₂ - 4 = 0 Using the fixed-point…

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