Given a region R under the curve y = x² in the interval 0 < x< 2. Find the mass, moments, and the center of mass of the lamina of density p(x, y) = x + y occupying the region.

Q: 1 1 1| 1 1 If A =|1 1 1], then A2018 = A?

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Q: |1 0 A=[2 21 1 13 31 |A|=4 O |A|=1 O |Al=21 O |A|=0 O 900

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Q: 200 Let A = 2 20 then e 222 e? o 0 4e? e? 0 6e? 4e? e? e? o 0 2e e? 0 4e 2e? e? 2e 0 0 2e 2e 0 2e 2e…

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Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: 1 −3 5 C= 2 2 -7 10 6 -19 -19 25 and = det (C) = 미

A: here 2 is multiply with all member of matrix  and determinat of matrix c = 2ndet(C) further…

Q: Example 7.4.1. If a = (2, -1, 3) and b (1,2, 1), find a x b.

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Q: Find the values of a such that det (² 3-x 2 3-x 4 1 -1 -1-x = 0.

A: We have to find the value of x such thatWe know that

Q: {x ER: 2x + 31+x=0} = {-6, -2}

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Q: If e = 23, then z 4x

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Q: 3. 6. 7 #3. Let A = 2 3 What is tr(A), the trace of A? 0. 4 (A)3 (B) 5 (C) 6 (D) 7 (E) 24

A: In linear algebra, the trace (often abbreviated to tr) of a square matrix is defined to be the sum…

Q: Q. 2.2 Let X1,.,X, f(r;0), where Ox°-1, 00 f(r; 0) = 0, elsewhere. Find the m.l.e. and m.m.e. for 0.

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Q: 3. Label (with explanation) as true or false. (b) {1} e {{1},2,3}. (a) 5 C N. (c) Ø CR,

A: 3. Labelwith explanation as true or falsea, 5⊂ℕb. 1∈1,2,3c. ∅⊂ℝ

Q: H.W 1.: Use Cayley-Hamilton to find 4 -1 A' and A Where A = [2 1 1 0 1 0 11 2 ]

A: Find characteristics polynomial and use caylay hamilton theorem

Q: e equation of

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Q: At which angle is cos=-1?

A: Given cosθ=-1

Q: 2 Let A = then det(3AT) - 18 -6 -2 II

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Q: (6) L {(1+ te-t)a}.

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Q: 10. If f (x, y) =2ye” then find √, (x, y). f„,

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Q: find u ·v.

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Q: 3 I- 0) = [u- w -3 [-1 4] 6.

A: We will solve it in parts Consider 0-1453-101-1 = (0)(5)+(-1)(-1)+(4)(1)    (0)(3)+(-1)(0)+(4)(-1)=…

Q: Prove the following statement: (VxR) (x 0 ⇒ (y R) (xy = 1))

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Q: 3. What is the value of ? B (9 - 40)" (2t - 3) A D

A: We know thatangle measure=arc measure

Q: /1- V1- V1- VI-….. then what is the value of x? If a = | O 0.816 O 0.618 O 0.681 O 0.716

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Q: (d) (e)

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Q: 1 -1 2. Let A = and u = 3 -3 -5 -3 (a) Is u in Col(A)? (b) Is u in Nul(A)?

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Q: VII. Given the following: U = {x|0 < x < 20} A = {2x|0 < x < 5} B = {2x – 1|1 < x<7} %3D Find the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find I(3/2), I(-1/2), and I(-3/2) in terms of n

A: Γ 32=∫0∞t32-1e-tdt=∫0∞t12e-t=0.282π

Q: 2 Determine if the following statement is true or false. Motivate your answer. If Re(:) > Re(w) and…

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Q: Find Lt Vx (Vx+c- Vx)

A: We have to solve the following limits, limx→∞xx+c-x

Q: Evaluate Conditions. pum テ=(6)V:s「(4s te return

A: In 2 quadrant sinx and cosecx is positive. Otherwise, all other trigonometric values are negative.

Q: 1.4.19 how does the solve for it ? I just stuck and confused linear algebra

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