Use contour integrals and Cauchy Residue Theorem to calculate the following integral Justify your answer.

Q: 1. Which is the graph of (x + 1)2 + (y – 1)2 = 4? -2 y -3 -1 2 -2+

A: (x+1)2 +(y-1)2 = 4 standard form of equation is  (x-h)2 +(y-k)2 = r2 so radius = 2 centre = (h,k) =…

Q: 6 m 8 m 10 m

A: Given :- Length of Rectangle (l) = 10 m Width of Rectangle (w) = 8 m Height of Triangle (h) = 6 m…

Q: Fiod the value of= 10 and ty= 2. when x

A: We have given equations x+y=10  ...(i) xy=24  ...(ii) From (i)  y=10-x Put this in equation (ii)…

Q: Determine the value of x. Show your work. Use algebra; the image is not to scale. Зх-100 2x image…

A:

Q: Match these values of r with the accompanying scatterplots: 0.758, 1, - 0.996, - 0.758, and 0.996. W…

A: The correlation coefficient is the measure to tell how strong is the relationship between two…

Q: 1. Which is the graph of (x + 1)2 + (y – 1)2 = 4? 2- -2 3- -3 ty 2- -1 2 2.

A: 1. The given circle equation x+12+y-12=42. From the given figure, we have to find the value of x

Q: Find the values for the missing variable. X = x+1 3.

A: Please refer to the image

Q: Struggling with SOHCAHTOA. Can somebody help me? Please include an explanation. Thank you in…

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Q: Find the value of QS. 11

A: The figure given in the problem represents ⊙T. Let, PR diameter of the circle intersect SQ at point…

Q: ら.5 4.25 3. 2. 立.- 3.

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Q: Find the value of x. K 24 J 10 L O 10 O 25 42 16

A: Let consider a point B on line KL.,  KB = x  Now we have to find KB in the given question.

Q: X A .0 6. 12 MathBits.com Find the value of x to the nearest tenth. B

A: Given:   From the property of the circle if AB is tangent to the circle and chord AD meet at point…

Q: All changes saved 20. For the three-part question that follows, provide your answer to each question…

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Q: Two poles are 80 meters and 60meters tall. Their bases are located at a distance of 100 meters. A…

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Q: 30 25 0

A: Given that , AC=30 .OD=25 To determine OB=x

Q: A. Find the value of x 1. 2. 5x 3. 3x 3x бх

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Q: Find SR. Round to one decimal spot. 6- 3+ 2+ 1. -6 -5 -4 -3 -2 1 2 3 4 5 6 -2+ -3+ -4+ -5+ 6-…

A: we will find SR

Q: Find the value of y. 15V2 y O 7.5/2 O 15/3 O 15 O 30

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Q: ]) 4 E3

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Q: Let v = (0,1,0). Give a description of all position vectors u = (x,y,z) such that proj, u = projv…

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Q: a. Find x. * G 40 24 >H X K 30

A: Triangle GHI is shown and GK bisects angle IGH.  GI = 24 GH = 40 IK = x HK = 30

Q: Find the value of x. x = 15 10 12 12.5 O 7 6. 13

A: Given:

Q: 15 11 Not drawn to scale

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Q: Calculate the given value. b(2; 5, 0.4)

A: We have to find the value of b(2; 5, 0.4)

Q: < Note: $1 billion - $1,000,000,000 800,000,000,000 700,000,000,000 600,000,000,000 500,000,000,000…

A: Please find the solution below. Thank you

Q: Find DE. E 5 F 6. 8 G 48 A 7 288 59 B 25 HI

A: For two intersecting secant line :

Q: Find the value of x. 8. 3. O 11 О 16 6

A: Consider

Q: 5. In his book Measurement of a Circle, Archimedes compared the areas of the circle and square in…

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Q: Elm is designing a mural and wants to make an example on canvas before painting it on the wall. The…

A: Given query is to find the dilation factor.

Q: -2 degrees c and 15 degrees c. What is the new temperature

A: We will use concept of average.

Q: Evaluate using the change of base formula (without a calculator).

A: To evaluate: log516log54 Solution: We know, log base change formula is given by: logb(a)=logxalogxb…

Q: Find the value of x. X= 8 X 5 5

A: We can find the value of x in the following steps.

Q: Find the value of x. Make 6. 4. 1. X%=

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Q: Find the value of j-h÷ 4 for h = 4 and j =

A: Given values are h = 4 and j = 5 Value of j - h ÷4 =?