lim (x – 5)3 a) -00 O b) 3 c) +00 d) O 2.

Q: x+y uis = 1 n upi = no • prove that x-+ y-

A:

Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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Q: Using the Convolution Theorem, what is L[h(t)]?

A: In this question, we use the convolution theorem to find the Laplace transform of the given function…

Q: ?, R(A)IN(A*)

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Q: If y = exp(-x²) show that -2xy and hence prove that, for n > 1, %3D y(n+1) + 2xy(") + 2ny("-1) = 0.…

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Q: Q.4: (A) Show that Lim t'i = 4 i t >2

A: The given symbol is the symbol of the limit of the function at the given point of limit.…

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

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Q: The formula in cell B1 is =A$2. auto fill is used by dragging B1's auto fill box across to c1,D1 and…

A: Enter A$2 in cell B1. Then Autofill is used by dragging B1's autofill box across to C1, D1, and E1,…

Q: 42 ption Pran)= i?+11u +28 %3D 43-6u2-63u+392 a) lim Icm) » (w)さ Mil la s のさ uil (つ tSー

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Q: "he pmf of X is 4.x – 1 - fx(x) = where x = 1, 2, 3 %3D %3D to

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Q: d csc 'x dx -1 Prove that xVx? – 1 2.

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Q: b? – a? x dx 9. - Proof Prove that 2 a

A: This can be proved using Fundamental theorem of calculus. The second part of the theorem is used.…

Q: F ind the oua gohenegion Aounded ky メ=y,メ=13-が 2 x=18-y (0,9) てっ (,) Une borizontal ilement to firid…

A: The area of the region can be calculated using the formula , where is the curve of the first…

Q: i =r+ 1+1 1le n de bifureation? on?

A: This is a problem of Dynatic Model, stability Analysis.

Q: For z C, show that the solutions of cosh(z) = 1 are z= i2km, for ke Z.

A: We need to prove that the solutions of the equation: cosh(z)=1 are z=i2kπ, where z∈ℂ, k∈ℤ.

Q: Given F(x, y, z) = (z, x, y) Solve for: а) divF b) curlF

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Q: Example 8.27. Using trapezoidal rule, evaluate I = 1²₁² dxdy, taking four sub-intervals. r+ v

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Q: for z = In(2® + y*). Find

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Q: Prove that: sec a + sec(120° +a)sec(120° – a) = –3 sec 3a

A: To prove that  secα+sec(120∘+α)sec(120∘-α)=-3sec3α

Q: 6. In parallelogram ABCD, AC meets DB at O. a. If DO = 3x - 1 and OB = 2x + 1, find the length of…

A: In parallelogram ABCD, AC meets DB at O.a If DO=3x-1 and OB=2x+1, then to find the length of DB.b If…

Q: Using the substitution u = 2x – 1, prove that - -3 8 dx 1 (2x-1)3 25

A: The given integral is ∫13x(2x-1)3dx Put 2x-1=t⇒2dx=dt when x=1 then t=1 and when x=3 then t=5 So,…

Q: Prove that d (sec"x)= 1.

A:

Q: (a) Suppose x E Q with x # 0 and y E R – Q. Show that their product ry is irrational.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find values a, b, c, d such that the function (x+ 1)³, -2 < r <-1 s(x) = { ar³ + bæ² + cx + d, -1 <…

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Q: For z + y, lim ()(1,1) Va - A. 0 В. 2 C.1 D. Does not exist.

A: This is simple question can be solve by rationalising the given function Solution is given below

Q: What is tanh (Ei) O V3 V3i O 13

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Q: x is the distance 1:- Show that the from morm Il x|l o7 2 to

A: We have to show that x of x is the distance from x to 0 Hence, x can e written as x−0 x=x−0 The…

Q: Use Greens Theorem to evalute fyx² dx + x²dy as shown below Leh Half of (0,5) +y-25 (0,-5)

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Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: (a) Suppose u(x, y) = y³ – 3.x²y is harmonic, then find its conjugate harmoni

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Q: 16. Find he exact soution on The interval [0,2m] 25in?x ャ Bsinx +3= 0 5sinx t

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Q: The formula in cell C2 is = A$2. Auto fill is used by dragging C2's auto fill box across to D2, E2,…

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Q: Determine the exact soluticn of the for -TTLOLTI (restrictions) equation sect©-2=0,

A:

Q: Suponga P(Z,=K) = 2 Determine la distribucioñ de Zn. Ejercicio (DistrbugER del proceso de…

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Q: So So t² etu du dt

A: Given, ∫03∫0tt2etududt

Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

A: This question is related to definite integration, we will solve it using given information.

Q: h 1876, James Garfield who later became president of the United States of America, discovered a…

A: Topic:- geometry

Q: *y + 1 =? lim (e,2)+(0,0) a2 + y? А. 1 В. О C. Does not exist O D. -1

A: We find the given limit by using linear path equation.

Q: zez Use Cauchy residue theorem to evaluate . (z'el + ) dz, C: 4x? + y2 = 16. %3D

A: We know that  z2e1πz is analytic throughout the complex plane. Hence by Cauchy's theorem ∮z2e1πzdz=0…

Q: B) Find for the folawing fumetion 2. 3.

A: The given function is:  w=x2+y2+z2,    ysinz+zsinx=0. To Find: ∂w∂yx, ∂w∂zx, ∂w∂zy.

Q: 5-Vx+25 limr→0

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Q: Using Eirjenvelue melthed envalie methed +2y dy ?a-2y 3 of

A: Given that, dxdt=-52x+2y   and dydt=34x-2y write in matrix form, x'y'=-52234-2xy for eigen values,…

Q: e 2t In (1+7) t lim t→+o t1/2

A: Let L is the value of given Integral.

Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: If C(x, y) %3D 400 - 5ху + 10х?у, find ac ac and Əx ду ac Əx ac ду II

A: Explanation of the answer is as follows

Q: Determine la solución general de 2 y"- 3 y' +4 y = 0.

A: