What must be true about a for a² = ab to imply that a = = b? a = ○a‡0 a> 0 a>0

Q: -2 -3 Q3) Find JA| Where A =1 0 1 1 -1

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Q: Let | a b. 2. =5, then 2a 26 2c 4g 4h 4i -e

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Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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Q: (4) Evaluate 1 z² + 4z - 5 J -dz.

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Q: L[sih bt) 2.

A: From the definition of Laplace, L(f(t))=Fs=∫0∞fte-stdtSo,L(sin(bt))=∫0∞sin(bt)e-stdt Let,…

Q: 0) Find the value of x 64 -4 +4x U K 36 27 72 96 L.

A: Two triangles are said to be similar if their corresponding angles are congruent and the…

Q: Please answer in typing format for like

A: Given : For two events A,B∈Ω,(i) P(B|Ac)= 0.1 (ii)P(Bc|A)= 0.8(iii)P(A)= 0.4Where Ω is the set of…

Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

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Q: 4, 2 any positive value of a, V9(a + 3) is equivalent to Select one (3 (a + 3)) 3(a + 3) 3i (a +3)

A: By using simple algebric calculations

Q: x3+y3 x+y If u = = In ди X ?x In ( ди + у ду then find the value of ?

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Q: b? – a? x dx 9. - Proof Prove that 2 a

A: This can be proved using Fundamental theorem of calculus. The second part of the theorem is used.…

Q: 5. Simplify to a C. Write answers in the form a + bi a, b eR (i) (3 – 5i)(3+ 5i) (k) (3 – i)? (1)…

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Q: Let ā = 7i – 3 and 6 = 3ỉ – 73. Find ā - b

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Q: If det (AB²) = 24 and det(AB) = 8, what is det (BT) equal to?

A: Note that, det(AB)=det(A)×det(B)

Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

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Q: H.W/Given A = ax + 2 ay - 3 az, B = ax + 2 ay - 3 az, B = -4ay+az and C = 5ax - 2 az Find 1- Ax B…

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Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

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Q: Reduce (1+j)?/(1-j) to the form a+jb. a. others b. -1-j С. 1+] d. 1-j е. -1+j

A: 1+j21-j×1+j1+j=(1+j)31+1=j3+3j2+3j+12=-j-3+3j+12=2j-22=j-1=-1+j

Q: 59. Let a, c +0. Show that the roots of ax? + bx +c = 0 cx? + bx + a =0 and are reciprocals of each…

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Q: x = 36, y= -8 and z = 2. Evaluate each of the following and simplify your answer.      a)…

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Q: Ex. Show that V1 = 3i + 7j & V2 =i++1)j a %3D %3D are equal ?

A: Simple vector problem...

Q: (+7.,(9-3) p ind G LD (+) t S+1+ひ!S

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Q: Let z = x³ 3xy² + x². Zzz = Zzy Zyz Zyy -

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Q: 2. Show that Re(iz)=-Im z. 3. Show that Re(iz)=-Im z.

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Q: 3 2. If B = 1 show that B? - 5B+7I =0 [-1 2]

A: Given that B=31−12 To show that: B2−5B+7I=0

Q: 1. Let A= Find A.

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Q: Let й —, i = where A and B are some constants. Given that ủ + 40 = find the value of the product…

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