Evaluate the given integral using the Cauchy Integral Formula or theorem. | dz z2 – 4 - where y is the positively oriented circle |z| = 2.

Q: What is the value of angle B? B a 48° A Type your answer...

A: Vvv

Q: {; S s2 – 4s + 13 Select one: (cos cos 31 + sin 3t ) O (cos 21 + sin 21 ) 3 -sin 2t 2 -2t ( cos 3t –…

A:

Q: 2. Solve the following system of linear equation 2x +y – 2z = 1 3x + 2y – 6z = 2 x + 5y + 5z = 3 6x…

A: Let us solve the given system using Gauss elimination and LU decomposition method in the next step.

Q: L {(t + 3) sin 2t } = Select one: s2 – 4 (s² + 4)² s2 + 4 s? – 9 + (s² + 9)² s2 + 9 6s (s² + 9)² +…

A: Lsinat = as2+a2. If Lft = F(s) then Ltn f(t) = -1ndndsnFs.

Q: Consider a mixture distribution Z, where Fz(2) = wiFx(2) + w2Fy (z). E[X] = 5 Var|X= 20 • EY = 6 •…

A: Consider the random variables X1,X2,…Xn with distribution functions FX1,FX2,…,FXn. Then, a mixture…

Q: Determine the value of integral of f(x) = from 1 to 7 by Simpson's X 1/3 rule. Find the relative…

A:

Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

A:

Q: Let n is a positive integer. Prove that n is even if and only if 7n+4 is even. (Hint: you must prove…

A:

Q: Evaluate the given integral using the Cauchy Integral Formula or theorem. ez dz z2 – 9 - where y is…

A:

Q: Thanks a lot for your quick respons.   Best

A: Welcome

Q: Consider the following Linear Program: max 2x1 + 3x2 +4x3 (1) (2) s.t. X1 + x2 +x3 < 50 X1 + x2 + x3…

A: Given linear programming problem is max    2x1 +3x2 +4x3s.t.   x1 +x2 +x3 ≤50               1…

Q: 3. x²-6x-y+3=0 Standard Form Equation: a. Vertex: b. Focus: c. Length of LR: d. Directrix: PCLNIIS…

A: We have to write the given equation in the standard form. It is clear that the given equations are…

Q: Prove the Bolzano's Theorem for the case f(a) > 0 and f (b) < 0. .

A:

Q: 3. The promoter of a touring dance show wishes to analyse how the price per ticket affects the size…

A: Hypothesis testing : Hypothesis testing may be a variety of applied math reasoning that involves…

Q: OIf v= Bh, ® Solve for x: 18) Solve for x: 19 Solve for x 45 cm. 9.0 cm %3D solve the formula %3D 12…

A: 17. V=13Bh To solve for h proceed as follows Multiply both sides by 3 3V=Bh Divide both sides by B…

Q: Express each sum as a single vector W a) PT + TQ b) QR + RU c) RV + VS d) PV + VS e) UQ + QW + WV f)…

A:

Q: 8.) Which of the following two differential equations are separable? dy = r – 2ry + y? dr dy dr and…

A: Variable separable form

Q: Let f (z) = u + iv be an analytic function. If f'(z) = 0, prove using Cauchy-Riemann equations that…

A:

Q: A department chairperson has 4 teachers to assign to 4 different subjects (W, X, Y, Z). All teachers…

A:

Q: When extreme values are present in a set of data, which pair of the following descriptive summary…

A: Extreme values are values that are significantly different from the other values in a data set.

Q: 10.) Find the general solution to the differential equation in the previous problem. y – (cot r)y =…

A:

Q: Find the standard equation of the circle concentric with x? + y? +2x – 4y – 5 = 0, radius is 7.

A:

Q: When the price of a certain commodity is a dollars per unit, customers demand y hundred units of the…

A: y3+2xy2+3xy=100    a

Q: Let w: R³ → R³ be a differentiable vector field, given as w(r, y, z) = (a(x, y, z), b(x, y, z), c(x,…

A:

Q: A manufacturer estimates that if each shipment of raw materials contains z units, the total cost in…

A: There is a mistake in the part (b) question.  It's not 8000/x. It's 80000/x which is the term in…

Q: Find the by the two curves enclosed area the two wrves y=x² and y=x²-x²- 6x corvect to 2 dec.places…

A:

Q: Use the Laurent series expansion of sinh z f(z) = z5 to compute sinh z -dz 25 C

A:

Q: how much will he expect to gain/lose in return? No

A: Here given, Vice Ganda plans to invest 100,000 pesos for a movie block screening for a cause. He…

Q: 5. (a) Prove that if f is uniformly continuous on a bounded subset S of R, then f is bounded on S.…

A:

Q: Please answer numbers 6 and 7. Thanks,

A: 6a) The series is

Q: . Construct a 95% confidence interval base on the same data.

A: Need to construct 95% Confidence Interval

Q: 3a. Let f,g: ACR → R and c E A'. Assume that there is a 6> 0 such that f (x) = g(x) for all x € A…

A:

Q: Show that f (z) = e? is not analytic using Cauchy-Riemann equations.

A: