Q26] Evaluate the following line integral. The line is T: z(t) = Log (2)+i (t7/3 – T1/6), %3D 0

Q: Problem #4 (Theorem of Pappus) Determine the volume of the solid formed when a circle that passes th...

A: Given: A circle passes through the points 1,3, 3,1 and 1,-1 The circle is revolved about a line whic...

Q: Q17] Evaluate the following contour integrals. 2z -dz, 22 +1 the contour T is given in the following...

A: We use Cauchy Integral formula to evaluate the integral.

Q: f(x)= 10* %3D

A:  

Q: ₂₅. ɪꜰ ɪᴛ ᴅᴏᴇꜱ ɴᴏᴛ ʜᴀᴘᴘᴇɴ ᴛᴏɴɪɢʜᴛ, ᴛʜᴇɴ ɪ ᴡɪʟʟ ꜱᴛᴀʏ ᴀᴛ ʜᴏᴍᴇ. ᴄᴏɴᴠᴇʀꜱᴇ: ɪɴᴠᴇʀꜱᴇ: ᴄᴏɴᴛʀᴀᴘᴏꜱɪᴛɪᴠᴇ: ₂₆....

A: Consider the conditional statement p→q. The converse of this conditional statement is q→p. The inver...

Q: c) Find the maximum value(s) of the function f (r,y, z) = x-2y+5z on the units sphere.

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Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...

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Q: Decide whether the following is a proposition or not. If it is, write P; if it’s not, write NP. 1.)...

A: To decide whether the given is proposition or not. In your vlog, you can make a review of some produ...

Q: Using a hypothetical-deductive method Determine an orthogonal matrix P that diagonalizes a symmetric...

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Q: Prove that. -i In (izt Ji-z) Sin 근 tan 근 -In %31

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Q: 5.7 Derive the Jacobi-Anger expansion eiz cos e E " Im(2)e™ma %3D ime m=-00

A: The exponential form of a complex number is very significant in complex analysis. In exponential for...

Q: メ。 0 Po:0 ズ、 o、2 PI=0,82 Xえ 0 P3=? P1,2= ? Po,t,2-9385 Neville's mc thod is useed to approximate flo...

A: In the given question, it has to be P2 instead of P3. To find- Neville's method is used to approxim...

Q: Q4) Let X={a, b, c, d} with the topology T={Ø, X, {a}, {b}, {a,b}, {b,c,d}}. Let f: (X,T)→(X,T) such...

A: Definition: Let f be a function defined from topological space X to topological space Y, then f is s...

Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...

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Q: Q2: Find the Inverse Laplace Transform 1 E* 2(s – 1)2 + 32 L-1

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Q: Obtain the function x to minimize the following functional. x(0) = 2, x(t,) = 5 – 4t

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Q: Decide whether each of the following is a proposition or not. If it is, write P; if it’s not, write ...

A: We know a sentence is called preposition if it is true or false but not both!

Q: D' +4]y=sinx, using reduction of order

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Q: How do I get the result or the result inside the circle Lel, tan (2) = t » tant = 7 Sint it et git C...

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Q: Find the Inverse Laplace Transform e-3"(2s + 7) L-1 s2 + 16

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Q: A. Find the general solution of the following DE using the methods introduced in this unit unless in...

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Q: Solve x > 0, t> 0, x > 0, u (0, t) = f (t), t> 0, Ut = Urx; u (x, 0) = 0, u (x, t) is bounded for al...

A: Given that,ut=uxxx>0, t>0u(x, 0)=0u(0, t)=f(t)u(x, t) is bounded for all x and t  

Q: How to compute Cp using below equation, OP, sin 0; Cp, = 2 sin? 0; +2 cos 0 dy dy Where y = 0.5x -0....

A: To simplify: CPi=2sin2θi+2dθdyisinθi∫0yicosθdy

Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...

A: To find the inverse Laplace transformation of the below function. Fs=s+13s4

Q: fiz) = 32+52-6i analyHici by ef the fallowing functions !!

A: To check a function is analytical  then if the function satisfied C-R eqaution then he function us a...

Q: A mass weighing 32 pounds stretches a spring 8 feet and an impressed force f(t) = e-2t sin t acts on...

A: Given- A mass weighing 32 pounds stretches a spring 8 feet and an impressed force ft = e-2tsint on t...

Q: B. Find the particular solution of the following differential equations using Laplace. 3. у'-у-е", у...

A: It is known that L{y'}=sF(s)−y(0), where Lf(x)=Fs. It is also known that L-11s-a=eat.

Q: Find: Lim そ」

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Q: Examine the convergence of the following seriesWith excel program. S'en)! n!n! n=1 Use ratio test me...

A: To use ratio test to determine the convergence of the below series. ∑n=1∞2n!n!n!

Q: A4For any two finite sets A and B, define f(A,B) to be the number of elements that are contained eit...

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Q: A. Find the general solution of the following DE using the methods introduced in this unit unless in...

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Q: dX ans : 2 493 ....

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Q: 4. Find all points of discontinuity. 17/11 a) f (x) = х-23 х2+5х-2 b) f (x) : x²-9 x²+6x+9 c) f (x) ...

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Q: Convert the decimal number -92.882812710 to the equivalent 16-bit fixed point notation. Use 1 sign b...

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Q: Emply inverse interpolation to determine the value of x that corresponds to f (x) = 0.85 for the fol...

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Q: Apply the method of undetermined coefficients to find the particular solution to the following syste...

A: Like in linear inhomogeneous differential equation, undetermined coefficients is also applicable for...

Q: 12. Students leave from home early to avoid traffic jams. 13. She finished all her assignments. 14. ...

A: Proposition

Q: Solve Ut = Urx, x > 0, t> 0, u (x, 0) = f (x), u (0, t) = 0.

A: Given partial differential equation isut=uxx,     x>0,     t>0ux, 0=fxu0, t=0  

Q: _1. In your vlog, you can make a review of some products, and get paid for doing so. 2. What time wi...

A: Proposition: A proposition  is a declarative sentence that is either true or false ( but not both)....

Q: G.. Evaluate the fallowing real integrals by residue. theerem 3 -bm e 응) co3 mx (x4a?) Cx+b?)

A: This is complex analysis problem, we apply the residue theorem to solve the problem.

Q: I

A: As per our guidelines only first three subquestion s are solved.  

Q: A particular matrix A in block 3 x 3 form (i.c., 3 row blocks, and 3 column blocks), is given undern...

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Q: Given that the total flux across the surface, S of the tetrahedron bounded by the planes x=0, y=0. 1...

A: To draw graphs in 3d we need to find intersections with co ordinate axes and also with co ordinate p...

Q: et C be the curve of the intersection of the two surfaces a² +} = z and 4x2 +y} +? =9. nd let L be t...

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Q: Find the general solution of the following differential equation. 64y" + 144y/ + 81y = 0 %3D NOTE: U...

A: Homogeneous differential equations

Q: 1- sin(x) 1. Find all horizontal asymptotes of y :

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Q: Five girls (A, B, C, D, E) and five boys (V, W, X, Y, Z) are to be married. Their preferences are gi...

A: Given: There are five girls A,B,C,D,E and five boys V,W,X,Y,Z to be married Their preferences are gi...

Q: [z-22] Im (2-22) i f z=a+bi 3. 2 Find Re

A: We have

Q: 5) Express the following in the form a+bi (012-0141). Ans: -o.088 *0.016 1 (-012 -014i) Ans: -o.4526...

A: The following expressions are written in a+bi form as shown below  

Q: -. (D² +4D+4)y=-x*e y =-x³e

A:

Q: The vectors & and B are given by X = 2i + 3j and B = = 1 + 2j then Xx B

A: The given vectors are  X=2i+3j, B=i+2j We can write  X=2i+3j+0k, B=i+2j+0k As we know that, the cros...