Determine the definite integral that describes the shaded region above. 5 (6v² - 6v+6) dw 5 [² (6v² - 60+ -5 ○f (6v²- of 6) (6v² – 6v + 6) dv - 5 (6₂² - Gv + 6)df 5 -5 (6v² - 6v+6) dv (6v² – 6v + 6) dv

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A: Given f(x,y,z)=1+xy2-2z2 To find fx, fy, fz

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A: Solution

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A:

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Q: et f = xi+ yj + zk and g = |f|. Then Ve9 =

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

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A:

Q: |3x+2l+1 = 6

A: Given, 3x+2+1=6

Q: 7.) -2 (x-2)2

A: Topic = Limits

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A:

Q: Example. Evaluate (1+1)/(1 - 1). From Figure 5.1 we have 1+iz vie. We plot 1-i in Figure 9.5 and…

A: we have (1+i)21-i=(1+i)21-i×1+i1+i=(1+i)312-i2=1+i3+3i+3i21+1=1-i+3i-32=-2+2i2=-1+i

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.

A:

Q: Which of the following is the graph of the piecewise function f (x) - 7 f(x) -2-1 2 1 √-x-1 if XS-1…

A: To plot the piecewise continuous functions: f(x)=-x-1 if x≤-1xx2-x-2 if -1&lt;x&lt;2log2(x-1) if x≥2

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A: Find characteristics polynomial and use caylay hamilton theorem

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Q: e equation of

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Q: 31. Letf(x) = [x²/3]. Find f(S) if a) S = (-2,-1, 0, 1, 2, 3). b) S = {0, 1, 2, 3, 4, 5). c) S = {1,…

A: 31. Given the function is                            f(x)=x23.

Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

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A:

Q: Find numbers m and M Such that m<f'(1)< M figure in (1.4,1.3) l1,2 (1.6, 1,4) +

A: Given: The graph of f as  To find: The numbers m and M such that m&lt;f'1&lt;M

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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: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

A:

Q: Let a = i +43 + 2k. Find ||a||. −

A: Given, a→=-i→+4j→+2k→

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Q: j! j=0 4.

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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

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Q: 2.11) Write as 1 y- linear combination of X₁² -2 2 F 2 -1

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Q: Let u = (6,6) and v = (5,6). Express 4u+7v in the form (a,b). 4u + 7v= ( (Simplify your answers.)

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Q: 7. Р(6, 4)/4! ANSWER ! 15

A: We have to find given formula.