30. What is the real part of -? 1+j2 а. 0.75 b. -0.9 c. 0.5 d. 0.4

Q: Ju ди ax2 at u(0,t) = u(10,t) = 0 u(x, 0) = x where temr

A: WE use separation of variables i.e to assume solution of form X(x)T(t) to find two ODE's .Solve the…

Q: |: Use Mashematizel Induethon to solve bhe followbing; j I(2") + 2(2²) + 3(2-³)+.. .+ n(2^)…

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Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

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

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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: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: 30 Given that (1 – x + 3x?)15 = ana" 30 = ao + a1x + a2x + ... + a30x. %3D n=0 (a) Find ao. 30 (b)…

A: Given that

Q: Find the pebability of dekeching cheonge ŷ (1-B) po = 0.114 p= 0.0526 n= 100 LCS = 0.1195 %3D LC =…

A: The probability of detecting change is 1-β (given). P0=0.114 P1=0.0526 n=100

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

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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: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: ? 4 1. F(x, y) : = x (7) x? +y° ° x2 + y? ? ; 2. F(x, y) = ? ਦ ਵਿੱਚ) 4 3. F(x, y) = (x, y) y A…

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Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

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

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Q: Q3/ for what value of u will Ju 2 0 16 5 = 0 Ans.: u = 2.0

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Q: D. Two cylinders each with a height of 50 inches are shown. 50 in. Which statements about cylinders…

A: Volume of a cylinder = π·r2·h where r is radius and h is height of the cylinder.

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the probablity that in one day, the student is studying a. less than I hour b. between 2 and 3…

A: The random variable X be the total number of hours spent by a student to study The probability…

Q: Q D 2. Identify the missing information necessary to prove that TV 1 SU S O <SVT ZUVT O ST SV ST UT…

A: Given:     Triangle Figures is given

Q: 3. If z=2cis TT/6, what does z^6 equal?

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Q: Prove that: | (а — х)2 (а — у)? (а—г)?| |(b – x)? (b – y)² (b – z)²| = 2(a – b)(b – c)(c – a)(x –…

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Q: C State two other ways to name Zm. U S

A: Given diagram is :                                           From diagram angle ∠m can be written…

Q: 11 PR || QS 11.2 PQ RS 11.3 QR = QS. 11.1 %3D

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Q: r* – 2 Show, using the definition, that is O(z²). z +1

A: Here, To satisfy the definition of O(x2), we need to find an appropriate choice of c and k.Let’s…

Q: Which of the following statements is INCORRECT? (8х - 24) 40 Туре А, В, С оr D (6x + 10) O A. FE =…

A: I am going to solve the given problem by using some simple algebra to get the required result.

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

A: To evaluate the given integrals.

Q: ax + by + cz + dq = 0 ,ax + by + cz + d2 %3D

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Q: Wa aties will swhve r A in 40 Co40 4. co 4 40

A: In the given triangle , the length of the side adjacent to 40 degree is 5 The hypotenuse is x We…

Q: What is/are X-value(s) in ex2-3x+2)= 1? 1 (2,1) none of these O O

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Q: V Show a c om le te solution 1/ 7 - +2

A: Given: -

Q: 22. Given that AABC-ALMN. 11 5. x + 5 r + 4 10 3r + 3 22 M 3.r + 1 CLEAR ALL What is the length of…

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Q: S(r) 2r+21I r .3 + 2 In r df (2) -? dr

A: Given :                     f(x) = 2x3 + 2 ln x To find :                             df(2)dx

Q: Simplify #28

A: The known fact is that

Q: 2 Given that i? is defined as being equal to -1, what is i9? F -i 1 H -1 i K -99

A: Given that : i2=-1

Q: 6. Use Green's Theorem to evaluate O (y* – xy?) dæ + (2 – a*) dy where C is shown below. y -2 ² +y²…

A: Green's theorem

Q: S dy ² + 4y+20) ²

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Q: Disprove: X={r1, 12} iff V, (z E X +x=VI=T2)

A: To do: Disprove the statement…

Q: 4 GuNeer that K 9 laJ ) ficed fle xale of K 2 5,

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Q: Prove using INDIRECT PROOF: 1) P → Q 2) R → S 3) ﬢQ ۷ ﬢS ﬢP ۷ ﬢR

A: The statements given are as follows: P→QR→S~Q∨~S For the first statement, we will apply the…

Q: Can you please solve this question and show the steps

A: a. Finding the probability of getting 7:It is given that die is rolled one time.When a six sided die…

Q: .Using Gauss-Jacobi, compute a solution to the problem Ax=b where 247 3 9 A = 8 4 2 7 b= 16 23

A: Here we put the augmented matrix into the reduced row echelon form. We get the required solution as…

Q: ううう) the parome rie repreçin tatiun solution sit g the lineow equation! O Find 4.

A: Given that  2x-y/4=4  To find the parametric set of Linear equations

Q: z+i dz = + ni. 23 + 2z2 Select one: True False

A: According to the given information, it is required to check whether the given integral is true or…

Q: Determine the length of UT. U 3x R IS 6. 20 — х 2x Y T

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Q: 1. FIND ALL NUMBERS Z SUCH A23 Bz? +C2 = D 2 4 2 THAT %3D A = 13 1| T-1117 B = 124 2] 1 -2 -1 1 3 1…

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

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

A: We have to check

Q: Is the following valid? true or false 3r m(t) =0.6e' +0.le" +0.2e

A: