2. a) Given that T, = 2+5f, T, = 4+3i. Find 1. T,+ 27, il. T,- 47, T iv. 10(T, – T,) b) Express T, in polar.

Q: 60. Show that the distance between two points P1(x1, y1) and P2(x2, y2) is invariant under rotation.…

A: For the points P1 and P2 , the distance between the points is given d(P1,P2)=(x2-x1)2+y2-y12 . For a…

Q: Show that the points A = (1, 2), B = (1,0), and C = collinear and express P = (-7,0) in barycentric…

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Q: The rectangle coordinates for the polar point (4,3.14/2)is

A: Given polar point is (4,π2) this is (r,θ)We know that x=rcosθ and y=rsinθSo, x=4*cos(π2)…

Q: Consider A = (1,π/3), B = ((sqrt3),π/6) and C = (1, 0) in polar coordinates. Show that A, B and C…

A: Let's find.

Q: -Usc polar coordinate to evaluate a2-x2 dxdy a2-x2 axdy

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Q: 3. Given the point (x, y)=(-40/3,40). Convert this point to polar coordinates, (r.), with r>0 and 0…

A: given  (x,y)=(-403,40)in polar coordinates    x2+y2=r2and     tan(θ)=yx

Q: 6. (3+ 2j)/(4 – 7j) 7. Convert -5 – 7j to polar form.

A: 6. Given(3+2j)/(4-7j) Rewrite the above equation as: (3+2j) (4-7j)× (4+7j) (4+7j) =(3+2j)(4+7j)…

Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: II. Evaluate in rectangular form (a + jb) and in polar form (rz0) given: Z1 = -5 + j12,Z2 = 3 + j4,…

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Q: 2. Convert the polar coordinate (4, 4,=) to Cartesian coordinate

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Q: 1. For z = 3 – j5 and z, = -2 + find the polar form of the following: d. Rel는 Rel를1 е.

A: Let's find.

Q: Which of the following points has the polar coordinates -4, 3 n/2 2n/3 R/3 3n/4 T/4 5n/6, 4 15 7n/6…

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Q: All the polar coordinates of the potnt are: (o (4승+2nn) and (0)(4승+2nm) and + 2nn (e) None (o(+동+…

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Q: Evaluate ¹ (x²+x²2²)dzdx by using polar coordinates.

A: We have to evaluate the given integral using the polar coordinates. First we have to identify the…

Q: 10. Turn the next to the polar coordinates. a) 40-j40 b) 98+j45 c) 35-j20

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Q: 10. Consider the Cartesian point (-2,-2). Determine the polar coordinates of this point.

A: Use cartesian to polar coordinate

Q: 1: (√²,-) 11:(-√√2,²) 111: (-√√2,³7) IV: (√²,5) v: (√²,²7) II: B) I, III, V C) II, IV, V E) I, IV, V…

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Q: 38. Which of the following could be polar coordinates for the point with rectangular 1 coordinates…

A: Given co-ordinate: Now,

Q: 6. Convert 5,5/3] to polar coordinates with r positive and between 0 and 27

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Q: Convert the point whose polar coordinates are (8,") to rectangular coordinates.

A: The polar coordinate (8,5π4) represents that the distance of the point from origin in the polar…

Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: Q13: Find the polar form for the following: a) 5+ j7, b) 7 + j 3, c) 9+j6

A: Let a number be given by a + ib.The equivalent polar form is reiθ where r =  and Search This…