Q3: The value of the complex integral f, dz, where C is a circle [a] = 2 in the positive direction is a) 8 b) 0 c) 1 d) 5 013 10= 2 :: Ye (Y=1) 9 = Sinf n Q5: Consider the projective plan. If there exist a line contains n different points then the total number of points in the plan is a) Exactly n²-n+1. الله b) Exactly n². c) At least 7 points d) At least 9 points Q6: Let U be a usual topology on a set of real numbers R and T cofinite topology on R. Let f:R-R uch that f(x)=x+1] then تبلوج a) fis U-U continuous and T- U continuous. b) fis U-U continuous and T- U discontinuous. c) fis U-U discontinuous and T- U continuous. d) fis U-U discontinuous and T- U discontinuous.

Q: ) Use shifting graph to sketch a) y+2 =|-3 + vx| b) y = -1+ 5sin (2x)

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Q: 12: A tangent to the circle x² + y? = 5 at the point (1,2) and th circle x? + y² – 8x + 6y + 20 - A)…

A: Given that  A tangent to the circe x^2+y^2=5 at the point (1, 2)

Q: [ 0,z < 0 le²,z<0' Find the Fourier transform of f(x) =

A: Fourier transform is termed as the provided function which can be represented in a series of…

Q: 1) Which of the points (x, y) does NOT lie on the unit circle? a) O P(0, -1) b) (-3/3, 3/3) R…

A: Given :Equation of unir circle : x2+y2=1

Q: Evaluate the line itegral where C is the upper half of the circle z +y = 3.

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Q: 6) Graph the points z = x+ iy that satisfy the given conditions:- a) z-1= 2 b) z+ 1= 1 (ans. : on…

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

Q: -7) 2) (3,-2) EXERCISE-2 (LOCUS) LEVEL-I us of the point, the sum of whose distances from the…

A: The Locus of the point, the sum of whose distances from the coordinate axes is 9 is Explanation:…

Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: Find the missing Side lengtns.leaue youranswersio radicals n Simples + form. 30° al x=4J3.y=33 6) x…

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Q: 14) What is the y-coordinate of the midpoint of WU? Z 2+ -4-2 X2 •Y -2+ V U a) -2.5 b) -1.5 c) -0.5…

A: Explanation:

Q: Consider points A=(1,0,1) and B=(0,1,0) fasa and r [x+y=1 (==y+l and lines S: a) There exists C Er,…

A: By finding the equation of line passing through A and B, we can solve the question.

Q: 5) Determine the value of x. Assume that lines which appear to be tangent to the circle are tangent.…

A: According to the tangent theorm  Tangent to a point on circle are equal

Q: ) Use shifting graph to sketch a) y = |1 – V|+2 b) y = -1+ 2sin (x +-)

A: Here we have to use shifting graph to sketch,  a) y=|1-x3|+2 b) y=-1+2sinx+π2

Q: Hi, parts a) and b) of this question are attached.    Thanks so much!!!

A: The problem concerns the distance and angle functions in the complex plane (the set of all complex…

Q: 3. Express the principal value of 1n z in rectangular form. a) z = -5 b) z = -2 + j2 c) z = √2 + j√6…

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Q: Evaluate ry dr +r dy, where C is the positively oriented triangle enclosed by the lines y = I=0 and…

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Q: 14) 13) 5x + 2 3x 24 16) XM = 11 MZ = 2x - 5 15) HD= 24 FD = 13x – 4 E W

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 5. 6. 7. Which is the best representation of ¢ × ả a) √126 b) √125 c) -5[2, 1, 0] d) [10, 5, 0]…

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Q: (a) The stable critical point and the unstable critical point of the + 4x = x² + 3 are,…

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Q: 5. What can you change to the two planes to make them parallel? Make as few changes as possible and…

A: given planes π5: 2x-4y+2z-2=0π6: x-y+3z-2=0

Q: AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of…

A: Given in a circle of radius r, there are two chords AB and AC such that AB=2AC. Also, the distance…

Q: 2. Use analytic geometry to verify that quadrilateral JKLM is a parallelogran 1C). YA K(-1,1) 2 -2 0…

A:

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: 10) Use Green's Theorem to eualuate S+10ny +y?)dx + l6xy+ 5a²) dy Toxy+ sa?) dy where C is the…

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Q: a) Find the image of the following under W = Z² 4) The line x = 3 2 <y<3 2) The domain b) Let f(Z) =…

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Q: The output of the following lines: ale Solve[{x-y== 2, x+2y== 4), (x,v}]}; Part[sol,1];…

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

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.

Q: 1, In the quadrilateral shown OA = 2a, OB = 2b, OC = 2e. Points P. Q. R and S are the mid-points of…

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Q: (4) a) Find the image of the following under W = Z² 1) The line x = 3 2) The domain 2<y<3 1) What is…

A: With the help of transformation and equating real and imaginary part then put the values we find…

Q: b) Let f(z) = 1/2 1) What is the image of the line y = 2 under f? 2) Show that maps the interior of…

A: Given, f(z)=1z Show that the w=1z maps the interior of the unit circle in the first quadrant to the…

Q: A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then ) A)…

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

Q: 8- of What is the value of (z + e22) dz, where C is the positiv C oriented circle |z - 1= 1 in the…

A: Since z-1=1 ⇒z-12=1⇒z-1z-1¯=1⇒z-1z¯-1=1⇒zz¯-z¯-z=0⇒z¯z-1=z⇒z¯=zz-1