I shift as in Example 4.9 to find the general solu b. (2D – 1)²y = 0 + czx?)e2x

Q: 5. Determine given: axty - bxy = 36 %3D where a and b are constants.

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Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: D Question 2 Select all that apply: r y" + 3ry - 2y = In r 3rd order O linear Ononlinear O 2nd order…

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Q: (a) Find the approximations T4 and M4 for 7el/x dx. (Rou T4 = %3D %3D

A: We have to find approximations T4 and M4 for the integral ∫127e1xdx Here T4 stands for trapezoidal…

Q: az az e H.W : use the Implicit Differentition to find ax 'ay 2) xyz – 4x²z² + cosxy = 0

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Q: Find the real component if mid 09.png s(e)= a in vbet is evaluated at z = 9 + 4i when a=8 , b = 7,…

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Q: Advanced Math 4. Show that if S is simply connected. 0 x 1 3= {x+ix: 985 ! U{iy: -1≤y <∞0}, y = sin…

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Q: az (b) Determine the by using the Chain rule with the following information: ds z = cos (x"y) – sin…

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Q: What is the image of ALMJ by Ro90? Ro,90? a. AJKL b. AKLM c. ALMJ d. ДМJK

A: Here we have to find the image of the ∆LMJ by Ro,90

Q: O Express the following functrons in the form u+iv •f(2)%3In (I+z)

A: Given function f(z) = ln(1+z), z=x + iy. We have to express f(z) in the form u+iv, where u is the…

Q: Given 3 y₁ = x²³₁ (0,00) is soln to x²y²-6y=0 find y₂ and show linea independence.

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Q: T (4) = %3D .a 12.b 0 6.cO 24 dO

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Q: 4.1 z + cos(72) -dz, c z(z² +1) with C : |z – i| =.

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Q: Find the imaginary component of In(z + w) if z = 16 + 6i and w=7+8i . Round off your final answer in…

A: Complex number, imaginary part

Q: On taking AABC, use cosines law: 450 300 500 Om)* =(450 m)* +(500 m)* – 2×(450 m)(500 m ) cos A…

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Q: Consider 7(t) = (2t³ – 2, 3e“, – 2 sin(3t)). Find Don't include the +C. %3D

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Q: c) Show thiat det a q² -k-1)(61)-) I <a<b %3D

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Q: 1) Let c. 12i| =3 and I = e dz. then %3D I= 1o TTi? %3D

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Q: h(x) = ÷, 0 < x s 1, period = 2, odd extension %3D %3D 0 <xs1, period = 2, even extension %3D %D

A: Period of a graph is an indicator of the behavior of one cycle . The graph of an even function is…

Q: b)A hanging chain has the b)F Shape y=3C0sh(3x), o 4X sIn2 calkulate the lengnt of the chain.

A: Length of chain is the same as length of curve

Q: Consider the following figure. D F OC = 8 and OE = 4 OE I CD in 00 Given: %3D Find: CD CD =

A: Answer

Q: Convert the ! √ √4-1² 2 0 following to rectangular 32 r³z² sino cos o dz dv do dz dx dy

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

Q: cosh(3z) dz COS Sc z(z2 + 9) C

A:

Q: MAC 2313: 15.2 Worksheet 1. Evaluate ffr cos ydA, R is bounded by y = 0, y = a?, a = 1.

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Q: O Verify that yo cos Cas (zt) is a solution to y"- Sy=-9cos (2t) %3D (-00, a

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Q: 7/2 79. Prove that 0< sin x dx < Ja/4

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Q: 1. Identify the secant that intersects OA. B D A a. 1 b. DC с. ВС d. DA

A: Secant: a secant is a line segment on the circle such that the line segment touches exactly 2 points…

Q: 11T 60. Given that sec 12 13T V2 - V6, determine the value of sec 12

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Q: The auxiliary (charasteristic) equation of the DE x²y" + xy' + y = 0 is %3D

A: Euler-Cauchy type differential equation: Let a equation x2y''+y=0 ..(i) Put y=xm in the given…

Q: A standing wave on a 2-m stretched string is described by: y(x,t) = 0.1 sin(2rtx) cos(50tt), where x…

A: Solution :-

Q: Write a in the form a = arT + aN N at t-0 for R(t) = t2i + %3D (t+r) + ( -r°*

A:

Q: write a in the form a = aTT + aNN at t = 0without finding T and N. r(t) = (2 + 3t + 3t2)i + (4t +…

A: we have to write a in the form : a=aTT + aNN  at t=0 without finding T and N where r(t)=2+3t+3t2i…

Q: The interval on which the graph of f (x)= cos 2x, xE 0,7 is concave up is: %3D 37 (A) t 37 4 4 (B)…

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 1 de, where a, b, and d are real and a² + b² < d² a cos e + bsin 0+d

A: The given integral is: ∫02π1acosθ+bsinθ+ddθ Also given that: a2+b2&lt;d2.

Q: Q1- Consider AB in Figure as part of an electric circuit. Find H at the origin due to AB. 6 A

A: By using Biot-savart Law's  Madnetic field at point 'p'

Q: Q:9 Evaluate cot(72)\dz 3 [z e? + by Cauchy's residue theorem.

A: We have to solve the given integral by Cauchy residue theorem

Q: Q2// I= f, (x² cosx) use Simpson's 1/3 rules, with n=4.

A: We have to find the integral using Simpson's 1/3rd rule. In first question there is not equal…

Q: c) I (6x° cos(x) + 5x – cos(7x)) dx (HINT: Consider symmetry) -

A: We need to evaluate the given integral.

Q: @lProve f A=3i+ rotating an ang

A: we have to prove that the length of the vector 3i+2j+k does not change when rotating the axes around…

Q: the solia generated Find the volumc af by revolving about the line X =3 the reg ion and y = x² + x…

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Q: If A = ze?xVi VxA at the point (2,0,3) is + 2xycosy j+ (x + 2y) k then the valueof

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Show that J, (z cos0)d0 = - R/2 os e)de = 1-cos z %3D 21

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Q: 2.18 Obtain the canonical form for the following elliptic PDES: a?u a?u (a) ax? дх ду ay? a?u a?u du…

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Q: S0scies 1CAR is inscribedin a E = 130°. %3D Finc: 12. iaCR 13. RC 14. mÃC 15. mAR

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Q: Let w = x*y cos(42). Find the following. (a) (x, y, z) = %3D (b) (x, y, z) = ду (c) (x, y, z) = dz

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Q: Find C if r(t) = ⟨et, 3 cos t, t + 10⟩ + C and r(0) = ⟨0, 0, 0⟩.

A: We have given function r(t)   r(t) = ⟨et, 3 cos t, t+10⟩ +C   We have to find the value of C   It…

Q: (a) Evaluate O ezz C cos(TZ) where c is z = 1

A: The objective is to evaluate ∮Cez2cosπz where C is z=1 Singularity of ez2cosπz are,…