10. Prove that w|+|2|="2² VWZ+ W+z +√WZ

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Q: 25. Show that |v|u + Ju|v and |v|u – |u| v are orthogonal.

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Q: a---x (4-3*)hasjust one maimum and one minim um Show that | a- a value . Show also that the…

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Q: Q12: If x + y = 10, then the largest possible Q13:The absolute maximum value of A) has no absolute…

A: Since, we have been asked to solve question-(13) in which our aimis to find the absolute maximum…

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Q: 54. Find numbers a, b and c such that x = 1 + at y = 2+ bt is perpendicular to 2x + y - 3z = 1 z 3+…

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Q: 10. Write the sustem of lineor equations in the form Arebuand solve this motrit equat 2と, X, t Xu-9…

A: Given: 2x1  -x2 +x4 =93x2 -x3 -x4 =-9x1 +x3 -3x4 =-2x1 +x2 +2x3 =0 To find : x1x2x3x4 for system of…

Q: 4. Solve for x : a) V5x +1 = æ + 1 b) a = V3x +7 – 3 c) V2x – 3 – Va – 2 = 1

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Q: In the diagram below ABGH, BCFG and CDEF are squares. Prove that 21 + 2 = Z3. A В C D <4 <6 <5. <7…

A: GF/DF =1/√2 FD/FH=√2/2 = 1/√2 So, ∆GFD~ ∆ DFH Angle 1= angle 6

Q: 3. (a) Find a unit in Z[√2] which is not equal to 1 or -1. Hint: Use 1 (b). (b) (*) Show that Z[√2]…

A: The objective of the question is two-fold. First, we need to find a unit in the ring Z[sqrt(2)] that…

Q: 18. Define I(a, b) = ª exp(-a²u²_b²u^²) du for a, b>0. Show that (a) 1(a, b) = a¹1(1, ab), (c) 1(a,…

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Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

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Q: ) find w=4 +iv if the function. in term of 2 is f(z) = (Z-32²) (2z+i)

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Q: Compute √√√(x+x+x+10)8 4x-2 dx.

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Q: Prove if X,Z, y > 0 xy (3x +2y – 4z)+ yz(y+3z – 4x)+ xz(x+2z –- 4y)>0 then

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Q: .רון 11 12 ~* 0 then use (X₁ X2) (021 (a11 a2₂2) (x₂) to do the proof for a 2 × 2 symmetric matrix…

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Q: 2. Show that a. Q(√5, √-5) = Q(√−1, √5) b. Q(√2, √6) = Q(√2, √3) c. Q(√5, √7) = Q(√5 + √7) d. Q(√a,…

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Q: 2. Compute each set of roots and provide the results in Cartesian form a) x5 = a = -1

A: As per our company guidelines, we can solve first question for you. If you want other question to be…