-8 -6 4 -2 a) (-∞, 0]) U (2, 5) U [-5, ∞) O b) (-∞, 2) U (2, 5) U (5, ∞) O ) (-∞, 3] U (-4, 5) U (-5, ∞) d) None of these O e) (-∞, ∞) 2. 2.

Q: 5.18 SHOW that AUB = (A |B)UB 5.17 If AUB =U. Show that %3D

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact…

A: Given that the equation un+1=un-1-un-1un-5un-3+un-5,n=0,1,…----18 has the solution given by the…

Q: 5. Use De Moivre's Theorem to solve all the roots of x^5 +1= 0 O A. 1 cjs [(nt+2nk)/5] ; k = 0, 1,…

A: Given that x5+1=0. We know that  x+iy=r(cosθ+isinθ(x+iy)n=rn(cosθ+isinθ)n =rn(cosnθ+isinnθ)…

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact…

A:

Q: 7. i) Show that Q(2'4,i)/Q is a Galois extension.

A: The given function is, E=ℚ214,ii,e, E=ℚ24,i The minimal polynomial of 24 is  x=24Taking power 4 both…

Q: Show that \{e ^ (- x), x * e ^ (- x)\} is a fundamental set of solutions of y^ prime prime +2y^…

A:

Q: 3. Solve for the Z-Transforms and ROCs of: x[n] = [6, -2,2,0,0,4, -3]

A: We have to solve the given problem.

Q: 6. Show that when ) < |z - 1| < 2, e - ( - 3) (2 - 1)(2 – 3) Complex Analysis n=0 (z-1)" 2+2 2(z-1)

A: We use Laurent series to prove given example.

Q: 4. Prove Theorem 2.6.5.

A: Let p,q be any two distinct points on l. Let r be any point on l. Let m be the line containing p and…

Q: Q4: 1- Prove that (1-0+(1+ () 0. 2. Put in the form a+ib ((1+i))- ((1-i)).

A: Here we have to prove that, 1) 1-i2+(1+i)2=0 2) Put in the form of a+ib, 1+i22-1-i22

Q: Prove Theorem| 2.3: (i) (A+ B)" = A" + B", (i) (A")" = A, (iii) (kA)" = kA".

A: To prove the given transformations

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact…

A: Given equation is as follows: un+1=un-1+un-1un-5un-3-un-5,  n=0, 1, ...............(10) The solution…

Q: 1×2° +2x3° +...+ux («+1)' _ 3u + 5 1° x2+2° x 3 +...+u² ×(« +1) 3n +1 +u X Зи + 5 Show that

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Q: 2 2 22 if== prove that 22 a¯x +b¯y¯ +c¯=¯ 3, ,3, 3 a'x + b°y +c°z xyz abc %3D

A:

Q: 15. Let z = 2cos0 + i(1 – 2sin0) where -n < 0 < n Show that Iz – il = 2

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Q: Prove Theorem 11.3

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Q: Find the the fellowing ODE 's general Solution of ODE'S x³ - X %3D

A: Given ode xy'+4y=x3-xy'+4yx=x2-1

Q: (2, 1) entry of A – B" equals 0. Is ~ reflexive? Is ~ symmetric? Give a brief justification for your…

A:

Q: (z+1)(z+6)(z+10) z(z+2)(z+3) 3. What is the residue of at z = -2 (z+3)(z–2)² (z+2)(z+6) 4. What is…

A: 3) Given f(z) = (z+1)(z+6)(z+10)z(z+2)(z+3) Then Res(z=-2) = limz→-2(z-(-2))f(z)= limz→-2(z+2)f(z)=…

Q: Theorem 9 Let {um}=-5 be a solution to Eq. (18) and suppose that u-s = a, u-4 = b, u_3 = c, u_2 = d,…

A: We are asked to show the following equation, u8n-3=c2ne2n∏i=12nic+a∏i=12n-1ie+c Using the identity,…

Q: 2. Let g (x, y) = 2x² – y² . Compute 9(1, 2), g (2, 1), g (1, 1), g (–1, 1) and g (2, –1).

A:

Q: -5 u1 u2 U3 U4 = -5 , u5 = U6 = 5 u7 = -16 , U8 -1 4 4 -4 Compute projs u8, where s= span{us, u7}.…

A: Here we use dot product to solve this problem.

Q: Simply expression   (1+x2)-x2(1+x2)-1/2/1+x2

A:

Q: 10)Use Cramer's Rule to solve: (-x+2y-3z = 1 2x | + z = 0 3x-4y + 4z = 2 %3D

A: Use Cramer's rule to solve:   -x +2y -3z =12x + z             = 03x-4y+4z    =2

Q: 9 10 Complete the choice matrix by determining whether each rule describes a sequence of transfo…

A: Thats easy. Have a good day!!!

Q: TODlem 16. Find all solulons of the equation z- 5z +4 =0 1 and 4 -1,1,-2 and 2 o -1 and 1 -2 and 2 O…

A: The given fourth degree polynomial is converted into a quadratic equation by using the substitution…

Q: Find the nverse 2 -1 2 A =|1 0 1 f it enists. 0 3 -1

A: The given matrix is A=2-1210103-1. To find the inverse matrix, augment it with the identity matrix…

Q: -4z2-4 Let C: z-1|=3 and I = 4, dz. Then z2-1 O None of these O I-0 (without applying Cauchy-Goursat…

A:

Q: 9. Using the fact that ||u|| = 2, ||v|| = 3, and u x v = (-1,5, 1), find u · v.

A: You have asked multiple  questions and not mentioned  which questions answered you need , so…

Q: Determine a fundamental set of solutions to the ODE y (4) +81y = 0. (Again, you don't need to check…

A:

Q: (*) 3. Let 2 = {A, |n = 1, 2, 3, ...}, where A, Find UN and N2, then !! %3D prove your conjecture.

A: We solve this problem using the basic properties of union and intersection. Also some basic steps of…

Q: If (an) and {b,n) are divergent then (a, + b,) is divergent. a) true

A:

Q: 3 5 The Wronskian of {X2,x2}

A: The given set is: x32,x52

Q: Bb Announcements - Spring 2020-C X W a-concrete-introduction-to-highe X b My Questions | bartleby…

A: Let

Q: Of length I1, tien 50) Show that S is generated by ((1, 2), (1, 2, 3, - · , n)}. [Hint: Show that as…

A:

Q: 8. Determine whether v(x) = r'+3|x| even, odd or neither. Discuss its symmetry.

A: Q8) Given: v(x)=x3+3x

Q: expand about z=1 (z+1)(z-2)*

A:

Q: 2+13 Evaluate zdz along the following paths- (a) horizontally from 1 +i2 to 2+ i2 then vertically to…

A:

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact…

A:

Q: Example:4 Verify Cayley-Hamilton theorem. Hence find 2 -1 A-1, A -1 2 -1 1 -1 2

A:

Q: Jiminy Cricket is going from (0,0) to (10,6) by hopping either right or up. Jiminy cannot move…

A: Given: Jiminy Cricket is going from (0,0) to (10,6) by hopping either right or up

Q: Transform of the followi 2. + (5) = 35-25-1 (S-3) (5²+1)

A: Given that  F(s)=(3s^2-2s-1)/((s-3)(s^2+1)) To find the inverse laplace of F(s)

Q: Prove that JI = J [1 0 0] I = |0 1 0 Lo 0 -1 2 -31 J = 4 5 -6 %3D –7 8 -9 1.

A: Considering the matrix multiplication of J and I

Q: K=(0,20) ) Show (K,0,0) field. 12) Show (2,t,)(K,Ð ¸º) Hlint: : fi R ->K, fa)=e*]

A: As per our guidelines I am only solving 1st. For 2nd kindly resubmit the question mentioning 2nd.

Q: 1. (a) Let 5 -6 -6 B = |-1 4 2 3 -6 -4 Find oigon nigon un imil to D

A: To finding the eigenvalues and eigenvectors to the given matrix we use Gaussian elimination method.…

Q: 3 =1 cjs(6, – 0,) - 3. Let z = ;cjs6, and z, = 1,cjs0, , prove that

A:

Q: 2 -1 4 0 -3 7. -2 find transpose of 4, than verify is A orthonormal. 3. Let A= -2 1 4 -9 in

A:

Q: 13. Find MLADB. 118° В A D MZADB Enter your next step here

A: