What is the image of (-2,-2) under the reflection in the line x+y-1=0. (3,3) O (-1,-1) O (1,1) O (-3,-3)

Q: 2. Start: y= x What transformations occurred? End: y =-9(x-8)² + 5

A: First   shift the graph right by 8 units.  Then  strecth by (-9) units.  Then  shift upward by 5…

Q: 13. x = 1 + (y - 2)², x = 2

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Q: 24. A line segment is 10 units in length with one endpoint on the y-axis at the point (0, 6). If the…

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Q: . Eliminate the arbitrary constants c1 and c2 from the relation y = Cje-2« + Cze&e а. у" -бу - у -…

A: Solution : We need to find out the arbitrary constants c1 and c2 from the relation y = C1e-2x +…

Q: 5. What is the equation of the line joining the points (-8, 0) and (-1, 3)? Oy=7/3 x+ 56/3 Oy=7/3 x-…

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Q: 6. Show that when 0</z - 11 < 2, Complex Analysis (z-1)" (2-1)(2-3)=-3 (2- #=() 2(z-1)

A: Here we prove this statement by using series expansion.

Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

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Q: 5. (x + 3): (5y - 2) = 1:4 and 2x + 3y = 4 6. x: y:z- 1:2:4 and x +y +z= 112 (x + y): (y - 2): 2 =…

A: solve the equations

Q: EX:- Select Analog to Convert 2X + y - 3Z - 2u = 0 __(1) X + 2y +Z+ u = 0. (2)

A: We are given a linear system and we have to convert it into analog matrix form.

Q: 6. Show that when ) < |z - 1| < 2, e - ( - 3) (2 - 1)(2 – 3) Complex Analysis n=0 (z-1)" 2+2 2(z-1)

A: We use Laurent series to prove given example.

Q: Let p(x) =-2x* + c,x' + c,x + c,x + c, x ER be a polynomium whose graph insersects the points (-2,…

A: Given. We are given a fourth degree polynomial and also four points on the curve of the polynomial…

Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: Given the complex-valued function 1+z z² Evaluate f (¹) (A) -4-3i (B) - f(z) = (C) −¹+²i (D) none of…

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Q: 4. Line m passes through the point (2, 3) and has a slope of -. What is the equation of Line m in…

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Q: 9. (a) 2 Find the maximum value of 3 cos²x-8 (b) -3 (c) -5 (d) -8

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Q: The general solution of (D²+2D+1)(D²+4)y=0 is A y=(C,+C,x)e+C,cos2x + C ,sin2r B) none of the given…

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Q: 1. (r - x) + (-2r + 3x) 2. (-y + 3) - (v - 2) 3. (-3a* + 4 + 2a') -(2 + Sa - a) 4. -(6 - b + 4b')…

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Q: (d) Let Z₁ = −4+ 8i and Z₂ = -1 -2i. Show that (i) 21/2₂ | = 4. | (ii) (iii) |z₁|² +Z₁ Z₂ = 100.…

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Q: 6. Show that when 0 < |-1|< 2, (z-1)(z-3) Complex Analysis (z-1)" 2+2 =-36 z−3) ² A=0 2(z-1)

A: We use substitution and Laurent series expansion.

Q: Let sin(3x4 + 6y5) if (x, y) # (0,0) f(x, y) x² + y4 if (x, y) = (0,0) Which of the following…

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Q: Performing iterations on (25) respectively, leads to the following: n-1 X2km+j v; II n-1 Y2km+j…

A: Given: 2km+j=2km+j2+rj To find: Corresponding equation

Q: Q6 : find 1) j(1 – jv3)(v8 +j) 2) (1+j)(1– j/3)² 3) cos-1(2)

A: (1) j(1-j3)(8+j) Use the property (a+b)(c+d)=ac+ad+bc+bd in the expression (1-j3)(8+j) and…

Q: 1- DETERMINE A AND BEC FOR THAT THE FUNCTION: (f:C+a=+b -2 +az +b f(=) = IF = #1-i, 2-1+i (f(1– i)…

A: Continuity of complex function:

Q: E

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Q: 6) Use Linear Property to find ( 1- 3 x4)' A) (1- 3 x4) %3D B) – 4x3 C) - 2 D) - 12 x3 7) Use…

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Q: 7) reflection across y =X (х,у)-(у.х)

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Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: Which of the following lines pass through the point (7, 5) and is perpendicular to the line X + 3y =…

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