What is the value of [ 32² +7z+1dz 2+1 C

Q: Q3] Find the value of contour Integral if C is the circle |z1| = 1 e²z dz z3z² + 4z - 4 C

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Q: When the height of the sand in a particular rectangular sandbox is leveled out then the height of…

A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

Q: b) Use Greens theorem to findf x² ydx – xy?dy where C is the circle x? + y? = 4 going counter clock…

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Q: a) Use polar coordinate to evaluate I √x² + y² dA R where R is the region bounded by the circle z² +…

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Q: What is the value of z+1 zp- 23 – 222 C

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Q: Evaluate (z* + 1)dx around the circle [z]=1 A) 0 B) 2in C2 Evaluate fx8 (2x - 1)dx A) 1 B) 0 C) -1…

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Q: Use Green's Theorem to find SF ·dř where F = (y³, –x³) and C is the circle x² + y² = 3. %3D %3D

A: The given vector is  F = y3i - x3j

Q: с Solve for D B Same point B 130 A LACB LCBD LABD с сва Using circle Theorem.

A: Given information:  Aim:   Using Circle theorem.

Q: where C is the circle with positive orientation. e2021z dz Yo (22 + 4)² (2² – 1) (a) C: |2 – 2 – i|…

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Q: solve for no. 4 and 5

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Q: Where an Interior point Exists?

A: Interior point: Let S⊆ℝn.  A point a∈ℝn is said to be an Interior Point of S if there exists an…

Q: a) [² -da rlnr b) √ JI dr √1-² arcsin x c) / 1+ Leide [" 1+424

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Q: Calculate the following integral 1 Lc (z − 1) (2³ — 1) dz for each of the following contours C. In…

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Q: If the radical axis of the circles x² + y² + 2 gx + 2 fy+c= 0 and 2x² + 2y² +3x+8y +2c=0 touches the…

A: The radical axis of the given circles             x2+y2+2gx+2fy+c=0and      x2+y2+(3/2)x+4y+c=0 is…

Q: Consider a right triangle whose sides are under the coordinate axes and the hypotenuse under the…

A: Tangent line and maximization area

Q: Use Green's Theorem to evaluate the integral (x² - y)dax + 3xdy where C is the circle x² + y² = 1…

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Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) & Y= x e(-x)

Q: Jason has four more than twice as many $1 bill in his pocket then Eric if p is the number of $1…

A: In the given question, concept of equation is applied. Equation Equations in mathematics aren't…

Q: Question 2 A y B Hence, calculate the size of the shaded area R X Diagram not to scale- The above…

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Q: D

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Q: Question 2 (1 point) The concavity of y = x³ − 2x + 1 at x = 1 is? A) Undefined B) Concave DOWN OC)…

A: We can determine the concavity at  x = 1 for the function  y = x3 - 2x + 1 by examining the second…

Q: What is the standard form of equation of a circle centered ar C(h, k) whose radius is r? A (x-h) +…

A: Solved below

Q: Compute . Z+1 dz, where C1 is a part of a circle with r = 3, and 0<0< %3D

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Q: (12,50 Puanlar) 3- Evaluate the integral 3x +2 dx. V5 - 22 a) – 2 arcsin V5a + 3/5- a? +C b)2…

A: Given: The integral is ∫3x+25-x2dx

Q: Prove that v5 is irrational.

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Q: 22) The given equ" of the circle (x+12) ² + (y + 5) ² = 169 Here centre of the circle ins (-12,-5)…

A: The following is the digital format of the given text.

Q: 1. Let F = (vi-x)/(x² + y²), evaluate § ♬ dr, where C is circle (x − 1)² + (y − 1)² = r² with 0 <r…

A: We are given that          F = (y i - x j)/(x2 + y2)   Now, r = x i + y j       =&gt; dr = dx i + dy…

Q: Determine the area of the triangle formed by the following lines (can assume a > 0).

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Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.