Residue of at z = -3 is (z+3)² Select one: a. -2 b. 2 C. 3 d. -1 е.

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: Three resistors with resistances R1 = 11.1 ohm, R2 = 13.6 ohm, and R3 = 17.9 %D ohm are is series…

A: Given: Three resistors with resistances R1=11.1 ohm, R2=13.6 ohm and R3=17.9 ohm are in series…

Q: (c) -7x+12x = 2 given that at t 0, x 1 and i 5

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Q: The spread of a virus is modeled by V(t) = -t° +t² + 12t, where V(t) is the number of people (in…

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Q: Find the convolution between x(t) = 2 rect and h(t) =rect() %3D

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Q: Q1: Prové by induction nzZ! ☆ (1- 1 htI ( Here JJ (Pi") stande for froduct) means (I- I

A: A detailed solution is given below.

Q: f (t) = 3e" cosh (In 2r -2t

A: Given,                 f(t)=3e-2tcoshln2t

Q: Show that (a) 8(at) =8(t), (b) 6(t) = 8(-t), %3D %3D la|

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: 10e? dz by residue theorem, where C'is the contour z| = 2 1:4 + 52ª Evaluate

A: Complex integration

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value. У'%3…

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Q: B. GIVEN: BF 1 AC,DE 1 AC, AB = DC, AE= CF. 18. PROVE: AAFB =ACED. F A

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Q: 10e dz by residue theorem, where C is the contour |2| = 2 Je 1z4 +5z3 Evaluate

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Q: -R show that D-2D-31 =0 and hence find D", (b) Given that D %3D

A: inverse of matrix

Q: Employ Picard's method to obtain y (0-1) of the equation y,=0 when x =0. :=x² +y}, given that %3D

A: Given IVP is dydx=x2+y2, y0=0 when x0=0 Let f(x,y)=x2+y2 , y0=0 when x0=0. Formula for Picard…

Q: a) Find the general solution for UTM dy TM dy +2- dr? dr (1+f) UTM (77 +1)xz² = fip +

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Q: The Cornev 8-I make outbound A, B. 3. achieve Ax-u38/--12A.B %3D Otrue 2)Err

A: We know that  a×b represent vector product of two vector a and b  a.b represent scalar product of…

Q: z= em and a = 2t– 2s?, y = 2s – 2t, find az at t = 1, s = 1. at

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Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

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Q: 6e dz by residue theorem, where C is the contour |2| = 2 Evaluate 524 + 25z

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Q: Use Euler method to approximate the value of y(0.2), given ay' - by = ce^(kx) + mx , y(0) = 8 with…

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Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: 5. By making a suitable substitution, find the general solution y= y(r) of the ODE dy = (y – 4r –…

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Q: The 300-lb block shown in the figure is kept from sliding down the inclined plane by friction and a…

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Q: Residue of f (z) =, at z=0 equals e-2 %3D 23 O a. 3. O b. -1 8 O c. 1 O d. -1

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Q: Suppose that z = 3 – i is a root of the equation - ax" + bx + cx + d = 0, a,b, c, d E R

A: given one root of the equation ax7+bx4+cx+d=0. a,b,c,d∈R is z= 3-i we know that complex roots occurs…

Q: Let z=xin(x2+y2-e4)-176xy, x=te, y=est, If the value of z when s=2 and t=1 is equal to Ae?+Be4, then…

A: Explanation of the answer is as follows

Q: S(2y + 3)?/ y+ 2 dy

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Q: Write a in the form a = a-T + an N at t-0 for R(t) = t²i+

A: Given Rt¯=t2i+t+13t2j+t−13t2k We have to write a in the form a=aTT+aNN Since, Rt¯=t2,t+13t2,t−13t2…

Q: dy 5t vi (In(t) + 1) Vi dt

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Q: When two resistors having resistances Ri ohms and R2' ohms are connected in parallel, their combined…

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Q: S- - ydx + xdy, C: y² = 3x from (3,3) to (0,0) 01 0 3 O 0 2

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Q: const at Verify 4=(e~x-I is the gereral solticn

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Q: Let z=xln(x2+y2-e4)-3xy, x=tes, y=est. If the value of 2 when s=2 and t=1 is equal to Ae2+Be4, then…

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Q: thereducedsystem yBY -t -t it CI

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Q: Q3) find tne u bait ve ctor Pointing for ACe,3) to the (0,0)

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Q: Show that the following ODE is homogeneous then solve it. 2xyy' = x² + y?

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Q: 2t (t - 7 dt

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Q: Q2// A :- Compute for the following at t=1 z = re²", x = t², y =t-1

A: # We are entitled to solve one question at a time , please resubmit the other question , if you wish…

Q: Let z=xln(x2+y2-e4)-161xy, x=te, y=est. If the value of 2 when s=2 and t=1 is equal to Ae2+Be“, then…

A: From the chain rule, ∂z∂t=∂z∂x×∂x∂t+∂z∂y×∂y∂t Now,…

Q: 6e? Evaluate dz by residue theorem, 9z4 + 45z3 where C'is the contour z = 2

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Q: 2e Evaluate dz by residue theorem, where Cis the contour 2 = 2 c 9z4+45z3

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Q: use the methor of undetermined coefficients to find the gen. sol to: y'' - 3y' +2y = t2 + 2 e-t

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Q: for the -j 3 O de terminant 2-j3 3 2 i-s 1

A: det3j2-3j3-3j-120-j1-j=3jdet-12-j1-j-2-3jdet-3j201-j+3·det-3j-10-j=3j-1+3j-2-3j-3-3j+3-3=-3-6j

Q: Find the value of k so that the value of (2y - 1) dy is 10.

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Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

Q: 11T |13T V2 - V6, determine the value of sec 60. Given that sec 12 %3D 12

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to 8 = 112t -…

A: We have to choose correct option

Q: -)-= 0 ,y'at y = a (b is constant)

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