the 64 enclosed of the 'reyion cunves Find Aren Y= xZ-2X +6X

Q: 4. Show that z = a' Zax if z = e-al cos(x-at) %3D

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Q: 2. Prove: cot2x - csc²x = -1 %3D

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Q: e z score such that pz is less th

A: we are given that the probability value is 0.7880

Q: Find two  z  values so that  37%  of the middle area is bounded by them

A: we need to find two z values so that 37% of the middle area is bounded by them

Q: 2. Use Cauchy's Integral formula, Evaluate the following sin42 IZ1= 3. (Z-4)3

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

Q: Prove by inlution on n31 that Š (2i-)* - 4-h %3D

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Q: If the interval [4, 18] is partitioned into n = 28 subintervals of equal length, what is Δx?

A: Total length of [4,18] is (18-4)=14  Given that, n= number of partitions= 28

Q: Determine Z- Transfurm including reyina of Cunvergence

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Q: Find interior points of A, int (A) = %3D ON- {2} O A ON

A: To find The interior points of A

Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

Q: 15: Using first principles (by definition), prove thát thể đêrivätive of ä constant is U

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Q: I, FIND HE NET AREA OF fos) - Zx and gx)= O FROM [-3,3]

A: Given : Functions f(x) = 2x and g(x) = 0   To find : Net area of f(x) and g(x) from [-3,3]?

Q: 4.3 Use the calculus of residues to evaluate the following integral (x2- dr. + 1)2

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Q: Find of z = In(xy)

A: Given,Z=ln(xy)differentiating both the sides partially w.r.t. x∂z∂x=1xyy1∂z∂x=1xagain differntiating…

Q: エ. Find the three positive n umberu whoce Sum is maximum and the S um OF the OF there numbers is 100…

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Q: Use DeMoirve's Theorem to find: (1– iv3)2

A: We first try to express 1-i3 using polar form.r=12+(-3)2=1+3=4=2θ=tan-1yx=tan-1-31=tan-1-3=-π3So,…

Q: Find дхду of z = In(x² – y) %3D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the area under the curve ofy = x+3 fiom x = -3 to x = 1 with ad circumecribed rectangles. 26…

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Q: Find two z values so that 53% of the middle area is bounded by them.

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Q: Prove that Cosh [m(t-x) Cosh mh 2mL 2mL

A: The given data is: To prove: emx1+e2mL+e-mx1+e-2mL=coshmL-xcoshmL

Q: Find he minimum numbcr of terms to approximale 00 to wilhin 0.1. Use alkernahng scries eshmahion…

A: We have to use alternate series error estimation formula  to find n  Let ∑n=1∞an  be a series…

Q: Use Greea's Theorem ond Compute the Counter clock wise cir culotivn of É around the closed urve C .…

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Q: 6. Use a substitution to find S (x* + 1)" z³dx.

A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…

Q: nsist only of of even length. Generalize to find the EGF number of ations that consist only of…

A: To find: (1) The EGF for the number of permutations that consist only of cycles of even length.…

Q: Find all the joint moments m, n and k = 0,1,.... "nk

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Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: et X~U([-, 1) and let y = tan(r), show that y Cauchy(0, 1)

A: # using Jacobian transformation we have proved that y=tanx follow Cauchy distribution (0, 1)

Q: 6. Prove: 4 |x – y| 0, then x = y Vx, yER

A: To solve Q.6 Prove: If x-y<ε, ∀ε>0, then x=y ∀x,y∈ℝ If (Given) Then (To prove) ∀ε>0,…

Q: 5. Find the area under y = -x² [0, v7] on

A: Given curve, y=x34-x2,   0, 2

Q: Find дхду of z = In(x² – y)

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Q: O Find Valume bounded by %3D

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Q: The domain and the range of -cosh " are represented repectively by OAD-I(x.y)ERXRIY2) and R-(- 0,…

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Q: Prove that, cosh-'x = In |x + vx² – 1 for x 2 1 -기/

A: This question is based on Cosine hyperbola.

Q: Find 2 pOsitive real numbers x and y such that their s um is 40 and their product is as large as…

A: SOLUTION-

Q: 9:Find the absolute exlemum Verlues of flx) x²-4x+24 over the interNal Cl,41

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Q: Solve the Laploce equatrons for the ondi tions flx) funciong given boundery and b elow Con dibion…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Find the area under the curve of y = x+3 fiom =-3 to x= 1 with and circumsaribed rectangles. O 26…

A: We need to find area under curve.

Q: 24. Find the Fowrier r fas - -IN X

A: Hv

Q: Find the upper bound of zdz, where Cis the line segment from 1-/ to 1+ Attach File Browse Local…

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Q: 9 Find the lies which degion bounded and area in in first eyuadrant 12-axis by Jine V= n=770 Give…

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Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: 6. Use the IVT to prove that x2+ In r = has a solution. %3D

A: The Intermediate value theorem says: If the continuous function attains two values then it must…

Q: 4. Prove: -| s|x - y| Vx, yER

A: Solve the question number 4 as asked by the user

Q: Solve in terms f Bessel's functrom the folowrng (z=) DES?

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Q: Evaluate the improper intergal 1 -00 dx using the residue (x² + 16)3 theorem. 00 2

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Q: Let flx)= a cose + 3 Sinse with (o,f to)), (,2) and (T, 2 ). Use Muller's method to find a quachatic…

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Q: What is thie generalized union and interdection of %3D where 1-10,1)

A: As given,  λ is the index set for A.  Hence, there are two sets possible,  Aλ=0  =  [ -(1/0) ,  0]…

Q: Prove that 1- cosh -1 x= In(x+ Vx- -1 1 x+1 2- coth -In x-1 X = - Vi+x? .2 1 3- csch -1 x = In(-+

A: