33. What is the real part of In (2 + j2)? a. 0.785 b. -0.785 c. 1.040 d. -1.040

Q: 5) Rove that the Vraltora gperotor V aching on. is compoct

A: Given that the Volterra operator, V:L20,1→L20,1is defined by                            Vfx=∫0xftdt…

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A: Two triangles are considered to be similar triangles if the corresponding angles of both the…

Q: 2 sinºe cos³e de= 60 a O 120 b O 1 .c O 60 .d O 120

A: We have to solve given problem:

Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: oProve that inlaaib z1 b+ia 4ibare real Aumbers

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: To check for the result, we have to prove that  d dt  8t6 + C   = 48t5.

A: We have to prove that d8t6+Cdt=48t5 This is differentiation of function with respect to 't' We know…

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

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Q: evaluate the in! integ ral if u = 16+ ex then e* V T6tex dx = ( Jü cu=(ile %3D

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Q: Q#02: Show that 2リー33+5 -- t, esint 3.

A: Some properties of Laplace inverse of a function  Linearity property :…

Q: H.w, Consi dev The Syofem by and Gass Jorelau 3メ-23+る =25 メ+33-2るー2 ux- 5y - =31

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Q: iF Zz fexiy) where R= ě- ě Gud ge ě- ě show That!- +y5= (e-ぎ)( - 24

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Q: QI: Prove that vM ror VM 2 s where r and s are the positive integers unless M # r .

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Q: R(z) = In(6z +e²)

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Q: 3. Show Dat where re frenction s Centinueas? X+ y+2-H

A: In the given question we have to check that where the function is continuous or not and the given…

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

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Q: Let a2 + y2 + z2 = 3ryz, then which of the following is 一

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Q: 11. What theorem is used to prove that BD 1 AC? C В. D A

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Q: Show that (hcs) de = 1 In 27 e %3D 2. 20 (ite")(2 + 1)

A: To show: ∫0ln 2e2x1+ex2ex+1dx=12ln2720. Concept used: Integration of ∫1vdv is equal to ln v+C.…

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: Show that J74) LOSK +Sinn 2. %3D TIX

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Q: 6. Which statements prove that APQR - ASTR? * NOT TO SCALE O A. ZPRQ = ZSRT and 2Q = LP O B. ZP = LT…

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Q: 5. If z = In , then determine if the following statement is true or false. Justify your answer. a²z…

A: Solve the following

Q: [5tan 20 elan 28 sec? 2 Bd B 1.

A: Gievn, ∫5tan2βetan2βsec22β dβ We can solve this by substituting u=tan2β

Q: 2. (– 13 + 3i)31

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Q: 5. If z = In then determine if the following statement is true or false. Justify your answer. + y…

A: We will find whether the statement is true or false as following.

Q: 1 Show that n2 + 1 IN V

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Q: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: Show that if x ~ Nm (u, 2), where N is positive definite, then (x – u)'N-I (x – µ) ~ Xm: 2

A: Given  x~Nmμ,Ω, where Ω is positive definite.

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A: Given, Cox's and Goldstein's department stores give discounts to college students, 10% at Cox,s and…

Q: 2. If u = x + y + z' - 3xyz, find the value of x- +y+z

A: To find the partial derivative of the given function u(x,y,z)

Q: (a) Prove that de 2n a>b>0 Jo a+ bcose Ja? - b2

A: We will use basic knowledge of Integral Calculus and trigonometric identities to solve this…

Q: lo Prove that. Ax.CBx= (A.C)B. (A.B) where..As.a,it.azj.+a3.k t..

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Q: 27 dr = iex+ h where a, b> 0. Prove that

A: Prove that , ∫-∞∞e2xae3x+bdx=2π33a23b13

Q: Prove that dv du 2 – u? + v² 18

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Q: Evaluate C and P4. pune 4. 11 C3D 11 3 7 4 %3D | = *a+

A: Given, C311 P47 We have to evaluate them.

Q: prove that dv v 21/12 الله duz 2 2

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Q: Q(x) = √3/2+² Ser fet de Prove that & QQ (-∞ ) = 1

A: Here we can use Gamma function formula Γn = ∫0∞ xn-1 e-x dx to evaluate the given improper integral.…

Q: (3) Let A be m x n (not need to be square). What is the sum of the diagonal elements of ATA in terms…

A: (3) Given that Abe m×n matrix (not need to be square matrix). We have determine the sum of the…

Q: Prove false by creating a counterexample: P(AUB) S 9(A) U 9(B).

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Q: 28t(7ピー5), ScI) =2 %D soloution=?

A: Given,           dsdt=28t7t2-53 and s1=2

Q: Is AXYZ ALMN? Why? N X N Y L N M DISM

A: To identify whether the given triangles are similar or not.

Q: show thatt elipoid at makimum volum e s ephere y2 22 az V= 4ñabc

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Q: uppose that X~N(µ, o²) and that P(X 3.6) = 0.6554, what are the alues of u and o?

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Q: а. х39,у%3D 13;B 7, 15 b. х%313, у%3D9; 7, 15 х3 9, у%3D13;B 11, 20 с. d. x=13, y = 9; 11, 11

A: we have to find the values of the variables and length of the sides.

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: 8-2 ニ デnd av =? ジ うy av =? at the 20号 2マ = ? 293 proint (い) =ク a9, 292 =? =?

A: As per guidelines we are supposed to solve only first four subdivisions. Please repost other…

Q: I. Solve using De Moivre's Theorem. Given that z is not real number and z = 1, show that w = z-1 z+1

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Q: 23. Complete. a. If m L1 = 20, then m Z3 = m L4 = _?, and m L5 = b. If m L1 = x, then m 23 = m L4 =…

A: Triangle: In an isosceles triangle, there are two base angles and one other angle. The two base…

Q: OC {(z, 9) 2? + y? z and z € (-1,1]}- O D. {(x, y) + y? z}-

A: We have to check