Consider the DFA M = ({q0, q1, q2, 93}, {0, 1}, 8, go, {41, q2}), where d is defined as follows. 8(40, 0) 8(q1,0) = q1. 8(q1,1) = q1 8(q2,0) = 43, 8(42, 1) = 42 8(43, 0) = q2, 8(q3, 1) = q3 = q1, 8(qo,1) = q2 %3D

Q: him Z Q3. Show that 20Z does not exist.

A: The given problem is to show the given complex limit does not exist.

Q: 5. x₁ + x₂ -3x1 3 +2x30 X₂ - 2x3 = 2

A: According to Bartley guidelines, these are separate questions. Please ask second question…

Q: Let f= {(9,2), (8,5), (2,7)} and g = 4x + 7. Find f(9) + g(9). f(9) + g(9) = (Simplify your answer.)

A: We have to given two functions f, g and we have to find f(9)+g(9).

Q: Determine integers x and y such that (а) gcd(51, 288) — 51х + 288у (b) gcd(357, 629) = 357x + 629y

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Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

Q: 3.) 5v2 - 4lv- 36 9= 6.) 6x2 - x – 12 9.) 7n2 + 15n- 18

A: (3) To factorize: The expression 5v2-41v-36. Calculation: The product of 5 and 36 is 180, therefore…

Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: 4 2 0 8 4 -1 -1 -1 0 -1 0 2. Let B= -6 -3 1 1 Determine the inverse, B-.

A:

Q: Let a, = 1 and a₁ + a1 = n² + 2n, n ≥2. Evaluate S

A:

Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

Q: Evaluate SA(u) du if A(u) a) 6i+8k b) -6i+8k c) 61-8k (3u²-1)i + (2u-3)j + (6u²-4u)k. d)-61-8k

A:

Q: Multiply: 3y2(2y³ - 4y² + 5y) a. 6y5-12y + 15y³ d. 5y5-y¹ + 8y³ b. 5y6-y4+8y² e. 6y5-y4+ 15y³ c. 6y6…

A: SOLUTION-

Q: [1 2 3] ii) Let A = 4 5 6 and B = 5 L78 5] L3 of C32? [-5-5 71 [C11 C12 C13 - 2 4. Suppose BA = |C21…

A: First we state the general formula for multiplication of two matrices and then solve this particular…

Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: Deiding Plyromials 2,2

A:

Q: Given that 5w = = (-5, 20), what is w? Select the correct answer below: (-1,4) O (1, -20) O (-4,1) O…

A: given,  5w→=<-5,20>

Q: If mED = (2x-3), mBF=(15x-39), and m/BCF=(11x-9), find mED. E D B

A:

Q: Use the substitution method to evaluate V1-22dx

A:

Q: Find the midpoint of (6, 7) and (14, 11). O (7, 18) О 20, 18) О 10, 10) (10, 9)

A: given points :(x1,y1)=( 6,7)(x2,y2)=(14,11) Midpoint = x1+x22,y1+y22

Q: 6. (10pts) Determine whether you can find the interpolating polynomial p(t) = a, + a,t + a,r² for…

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Q: Given that 5w= (-5, 20), what is w? Select the correct answer below: O (-1,4) O (1, -20) O (-4,1) O…

A:

Q: Find |AT|, |A²|, |AAŢ|, |2A\, and |A¯¹]. 4 03 A 2-1 5 1 46 (a) IATI (b) |A²| (c) JAATI

A:

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: The Forward Gregory-Newton Interpolation formula is defined as:…

Q: **2.) In the diagram below, ray NK bisects JNL MJNK-(22-2 and MELNK-(3x)". Determine the value of…

A: Given: In the diagram, the ray NK bisects ∠JNL. m∠JNK=2x2-2°. m∠LNK=3x°. Since the ∠JNL is…

Q: The steady state error to a unit ramp input of the system shown in fig( Q4a) is ess ==5. Show that…

A: Calculate expression for C(s):  Cs=Rs·ωn2ss+2δωn1+ωn2ss+2δωn1+ks         =Rs·ωn21+kss2+2δωns+ωn2

Q: 10. Find all analytic functions such that its real part u = u(x, y) satisfies the differential…

A:

Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

A:

Q: (AUB) = ACNBC. Show that P(ACNBC) = 1- P(A) - P(B) + P(ANB)

A: P(Ac∩Bc)=1−P(A)−P(B)+P(A∩B)

Q: -2 21 3. Which of the following 51 2 1 Let A = 4 5 31 B = 12 and C 2 4 is the third row of A" B –…

A: Solution

Q: а) In(x) — 3(Vinx) + 2 — 0 b) 25% – 8(5*) = -16

A: lnx-3lnx+2=0

Q: Why did you pick (a,b) to be (1,1)? Can anything be chosen instead of  (1,1)?

A: Linearization of a function f(x,y) about a point (a, b) is given by

Q: how to find the polynomial interpolant of the data points: (3,4) (5,80) (7,188)?

A:

Q: Find the convolution of e3u(t) and tu(t). Answer: + _ + -+) u(t) Find the convolution of e3tu(t) and…

A:

Q: • f(x162) - x (2-c@s20) +ㄹㄹ Y ㅓ응을 0 find of or

A: In partial derivative when we differentiate with respect to one variable consider all other…

Q: Evaluate or find, if possible. fxy for (a) Evaluate fry f(x, y) = cot ► V 2 4x² +9y²

A: According to Bartleby guidelines I am solving first part. Since, given question is not interrelated.

Q: 22) -Vz(3 – 4V2) 24) V 10(2+3)

A: