1. Find the first-order derives: V4x? + 7+5 + 15x – 30 5x

Q: Find the 73%, 82% and 94% response time for the following system given: ÿ + 2ỷ + 4y = U(t) %3D

A: Given y ..+2y.+4y=U(t)     where U(t) =Unit step function Taking Laplace Transform on both sides,…

Q: Determine the integers m and n such that x* - 2x + 3x? – 4x+2 = (x+m)² (x² +1 2x +1 Next, express in…

A: We have to find

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

A:

Q: 19 + 4x. Determine the zero(s) of q(x) = x

A: Recall: zero(s) of q(x) is set of all values of x in which q(x)=0 Given: q(x)=-19+4x

Q: -3 Let A = and v = -12 -4 -6 -3 Av = %3D -12 -4 -6, Ex: 5

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Q: Verify that (AB)T = BTAT.

A:

Q: 1. Write out the dual of: a. Min 3xl + 2x2 + x3 s.t. xl + x2 - x3 = 4 2x2 + x3 < 7 -xl + 3x2 2 6 х1,…

A: The given LPP is: Min 3x1+2x2+x3 Subject to x1+x2-x3=42x2+x3≤7-x1+3x2≥6x1,x2,x3≥0

Q: 3. 'N M2CAN = 18x - 1 MZMAT = 15x + 20 Find the following: M2CAN = MZMAC = MZTAN = MZMAT = MZMAN =

A: Adjacent opposite angle are always equal so equate both and get the x value. Then put the x values…

Q: 1. Find the 5roots of z1 = -V3+iv3. %3D

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

A:

Q: Verify that v2+ V5 is algebraic over Q.

A: Algebraic number :- An algebraic number is a number that is a root of a non-zero polynomial in one…

Q: Compute A - 31z and (313 )A, where A =

A: Given,       A=5-14-44-6-321

Q: The order of the element 3 in Z24 is

A: Given: Z24 Formula Used: The order of an element k in Zn is given by Ok=nhcfk,n

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

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Q: -1 0 -6 9- Let D = 4 Find -2D = 2.

A:

Q: -4 1 compute – 3A -2 Given A 3

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

Q: x is even and v is any integer, then their produc

A: If x is even then x=2m where m is any integer y is any integer,  Case I Let y be even y=2n where n…

Q: If A = 2 1 2. show that A² – 4A – 5) = 0, %3D %3D 12 2 1.

A: To show that  A^2-4A-5I=0

Q: Given: JV5x² - 3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is…

A:

Q: [1 Let A = -2 2 -1 3 1 0 li o -1 B = 1 0 -2 1 1 and C 0 0 Compute BAT – C³.

A:

Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: @31 Find the nverse of the functions 1) fex) = 2x-1 2メ+) 2) fa)

A: The given functions are a fx=2x-1bfx=e2x+1We need to find the inverse of the above functions.

Q: 19. For sets A, B show 1AUB = 1A V 1B, %3D and 1ANB = 1A ^ 1B.

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

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Q: Determine x[2] and x[3] given (a) 2x[n+2] – 5x[n+ 1] = 4n, x[1] = 2 (b) 6x[n] – x[n – 1]+ 2x[n – 2]…

A: Given:  a) b) c)

Q: _, then m= If ym = (1/7)5

A: we have to find the value of m

Q: Find a mat rixP such that P- [1 0 P = 0 -1, -1 OAP = 1 1 OB P= 0 1 -1 0 OCP. 10 ODP = 1 0 OEP

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Q: and 7) show that the limes リ-3 X-2 = X-2 = -2=2-3 intersect. 4. 2

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Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

A:

Q: The academic planner of a university thinks that Ho: p2 0.39 Hạ: p 0.39 Ho: p > 0.39 H.: ps 0.39

A: In hypothesis testing, a null hypothesis can be defined as the hypothesis of no difference or…

Q: If A is a 2 x 2 with det(A) = 3, then det(4A1) = %3D

A: det(A-1)=1det(A) det(4A-1)=4ndet(A-1) where n is the order of the matrix.

Q: 4. у' 3D csc х +у сotx

A: Consider the provided differential equation, y'=cscx+ycotx Find the general solution of the…

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: Compute T B2

A: Given: B=1-1-11 and T:ℝ2,2→ℝ2,2 defined by T(A)=AB-BA. Also, B2=1001, 0110, 100-1, 01-10 To find:…

Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

A:

Q: If X~N(0,1) then X2~

A: In question,  Given that X~N(0,1). Then we'll find the distribution of X2. he solution is below,

Q: pls explain to me step by step. thanks

A: To exponentiate the matrix tA, A as given, using the special properties of A.

Q: Show that r(r+3) Hence, Show that 1 +. 2.5 1 1-4 3-6 n(n+3) n+3 n+2 n+1

A: Using series

Q: 9. (7x + 2) W S T. (4x + 23)- M2VWY = M2SWX = © Gina Wilson (All Things Algebra®, LLC), 2

A: Angle XWS +SWV+WVY=180°

Q: If var(0) →0 as n→ ∞, then 0 is said to be Select one: a. efficient b. unbiased C. consistent d.…

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Q: (a) Compute both P(X < 4) and P(X < 4). P(X < 4) = 0.629 P(X < 4) = 0.433 (b) Compute P(4 < X < 9).…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: Show that  1/3 Tn + 2/3Mn ) = S2n.

A: By definition, Tn=12∆xfx0+2fx1+....+2fxn-1+fxnMn=∆xfx1+fx2+.....+fxn-1+fxn…

Q: - Expand: (2p –q)° | 9. Expand to four terms: (x2 – 3y) °

A:

Q: Q1) Compute the products using the definition as a linear combination. 8 3 -4 1 2 1 5 1

A: As per the definition of linear combination abcdef.x1x2x3=x1.ad+x2.be+x3.cf

Q: use the convolution theorem to find L'{2+1 -1 4 Specifically s²(s²+1)

A: Given,        L-14s2s2+1=

Q: -:find sup (A) and inf (A) when A= (y = 2x + 1, x € N, -10 < x < 10}

A:

Q: a) Expand Ca-b)Catb) b) Hence, expand ox-y+2)(ctytz)

A: a) Expanding (a - b )(a + b)  (a - b)(a + b) =  a(a+b) - b( a+b)                        =  a.a + a.b…

Q: 4. Find the dual of the following LP: max z = - 4x1 - X2 4x + 3x2 6 X1 + 2x2 s 3 3x1 + x2 = 3 s.t.…

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Q: 2. Determine the products C = AB and D = BA if %3D %3D 4 61 -7 A = 1 -5 -1 3 -5 2 %3D -9 --13 -4 7 6…

A: The given matrices are A=46−7−51−9−3114×2 and B=−13−52−13−4762×4.

Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem