What is KN + IK? GHI J KLM N -4 -3 -2 -1 0 1 2 3 4 KN + IK =

Q: Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

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Q: [In (3j) Evaluate: z 2+j

A: The general form of a complex number is given by z=a+jb, where a,b are two real numbers and j=-1.…

Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: Q.2. Proof that V= u8--

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Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

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Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

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Q: Let z1 = 2+ j3 and z2 = 4 – j5. Evaluate 1+2 %3D 21-22

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Q: 71. r(и, v) — 4ui + (Зи — v)ј + vk 0 < u < 3, 0 < v < 1

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Q: v/4 f(u) 10, %3D elsewhere.

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Q: Prove that S4 = ((1 2 3 4) , (1 2 4 3) ). %3D

A: As you asked for question number 8 , and hence here it is.

Q: Q3: Prove that (9":n e Z) (3":ne Z) but (9":n E Z) (3":n E Z).

A: We have to prove that 9n:n∈ℤ⊆3n:n∈ℤ but 9n:n∈ℤ≠3n:n∈ℤ

Q: 1S prove that (a + b) = a² + b².

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Q: - such that n >r > 1, (n – 1)! r!(n – 1 – r) n! r!(n – r)! n - r -

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Q: Min. z = 4x1+3x2 s.t. 5x1 + 3x2 2 15 4x1 + 2x2 < 16 X1 20,x2 2 1

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Q: Q3: Prove that (9":n e Z} S {3":n Ee Z} but {9":n e Z} (3":n E Z}.

A: To prove:  {9n:n∈ℤ} ⊆{3n:n∈ℤ} but {9n:n∈ℤ} ≠{3n:n∈ℤ}

Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

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: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: dz 14. Evaluate S z(4+2)

A: Given: ∫dzz4+z23. Evaluate the value of the integral.

Q: d HI (8q5 – 209) dq = 0 dq [J-11

A: We have to says that the statement ddq∫-1118q5-20qdq=0 is true or false.

Q: R V 8. U 12

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Q: o In general a;jk(Xi + Yj)Zk = a¡jkX¡Zk + AijkYiZK - True - False

A: We have to prove or disprove that

Q: o.10. Prove that (a) J,"(x) = ¿[J,(x) – 2J,(x) + J, + glw). n n-2 n' n+2

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Q: Is R reflexive? Symmetric? Anti-symmetric? 1 MR= 1 1 1

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Q: nd y axsis labelled ?

A: Morphospecies on A Morphospecies on B Morphospecies on C 7 13 3 7 9 4 2 4 4 4 4 2 11 14 10…

Q: f(2)de = Af(1)+"(), the If Af(1) + 3 0. A = 2, B 1 O A = 0, B = 2 O A = 1, B = 1 O A = 0, B = 1 O A…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Subst ), we nave > Zn-h 1 kn+1 h=1 = ) kin-1 Vn | 2 EWn-p 1 = Vn-1. kn p=1 Vn+1 Wn - H Hence, we see…

A: given equation (5) wn+1-μ∑p=01wn-p=∑h=12zn-hzn-ε  and  zn+1-ε∑h=01zn-h=∑p=12wn-pwn-μ also equation…

Q: Prove that r(1/4) r(3/4) = /27. %3D

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Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

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Q: Encontrar el enésimo término de las sucesiones 1 2 3 4 4'9'16' 25 3n an 1 1 an (n + 1)! °n =+ (n +…

A: Consider the sequence  14,29,316,425,........

Q: Prove that ||A||1 = max1<j<n{E1 |aij|}. m

A: We will be using the definition of norm. And will verify that the formula given for ||A||11 is…

Q: When is it true that u+v= v+u?

A: Answer: It is true when is commutative property.

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: Let C: z-il-3 and I = 6. edz $ dz. Then z2 O I- 1= 4ni

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Q: み Vcet-4+(4 c) dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate Js I | ix, v, z) ds. Ах, у, 2) - Ху S: z = x2 + y2, 9 sx² + y2 < 81

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Q: |U( Z O Z O Z O Z)| is:

A: We need to find U(Z⊕Z⊕Z⊕Z) The units of Z are 1, -1 So there are two units.

Q: Sc dz, where C is |z – 2| = 5. z (z-1)2 Evaluate:

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Q: Interpreting Pearson's r <0.2 102 O = very weak relationship stationali.

A: x 33 31 32 28 33 26 34 32 28 27 y 6 4 4 1 3 3 4 2 3 2 r =…

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: |U( Z O Z O Z)| is: O 2 16 4 K O O

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Z O |z| 20 |z|? II 2. IN

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Q: T 8х — 1 U 117° V

A: Theorem  Angle between the two tangents drawn from an external point to a circle is supplementary to…

Q: (b) Show that V n 20 > (2i +3)3' = (n+ 1)3"+1. i=0

A: To Show- Show that ∀ n ≥ 0 ∑i=0n2i + 33i = n + 13n+1.

Q: Ql/prove that : 11=00 H(elw) = Σ 71=-8 h(n)e-jwn

A: "Since you have posted multiple questions, we will solve only the first question for you." To Prove:…

Q: How do I subsitute X= Ztan into Ha):" ) How do I simphtiy asuming Ok Be

A: Solution : We have given a function fx = x4 + x2   To find : Substitute x = 2 tanθ into the given…

Q: How we dlittiluwrI x fasy)- z=0 The answer is af DE Kindly gue me alelail.

A: given function is                                                        f(x, y)-z=0 now…

Q: 14. Let A = {r € R : 2 < z < 4} and B = {r €R: -4 <I<1}. Prove that |A| = |B|.

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.