Question 1: Separate into real and imaginary parts and show your answer on the Argand diagram. (3-2i)(1+2i) Z = (2-3i )2

Q: 14 Sketch a graph of r Use the graph to write a Cartesian equation for the conic. %3D 3 – 4 cos(8)

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Q: QUESTION 12 Solve the following system of equations and fill in the values below: x + 2y - 2z = -15…

A: Here we have to solve the following system of equations. x+2y-2z=-152x+y-5z=-21x-4y+z=18

Q: Problem 5. Find COS dA by using the transformation и — у — а v = y+r D is the trapezoidal region…

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Q: Chapter 5, Problem 5/185 Determine the x- and y-coordinates of the centroid of the shaded area. 30 |…

A: To find: x and y coordinates of centroid of the shaded region . from figure you can see that from…

Q: Question 1 These questions are related to the applications of Engineering Mathematics. dg…

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Q: Questions 23 and 24 pertain to the following situation. From 2004 to 2013, the average salary, y, in…

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Q: 14 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4 + 3 sin(0)

A: To Sketch: i. r=144+3sinθii. Use a graph to write the cartesian equation for the conic. Explanation:…

Q: Problem 2: Consider the complex function X(s) = * (*+4)(s+1}* 1. Find the poles of M). 2. Assume sj,…

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Q: QUESTION 2 Given z=4+5i, What is arg z ? -0.896 + 2kT, k=0,±1,±2,... 0.896+2KTT, k= 0,± 1,± 2,...…

A: We use the definition

Q: Problem 5: Find [[, G · dA using Gauss's Theorem, where G (22x, y + tan(z), x² z + y²) and %3D H is…

A: Consider the provided question,

Q: QUESTION 12 Solve the following system of equations and fill in the values below. x + 2y - 2z = -15…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Describe the graph of the equation. r = 18 cos ti + 4 sin tj -k O Itis an ellipse in the x = -1…

A: Let's find.

Q: Question 5 13217 - 1427 + j18 Show your solutions on a separate sheet of paper. A 2i - 1 B) 1-i (c)…

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Q: 8 2. Find the type,the eccentricity, vertices. foci and directories of r = 2+3 cos 0"

A: solution:Given thatr=82+3cosθThe equation is in the formr=ep1+e cosθ∴r=82+3cosθ=41+32cosθ

Q: 1 a. Showing all 9r2 = (1 + 3r cos 0)². b. Express 9r2 = (1 + 3r cos 0)² in rectangular coordinates.…

A: a. Consider the equation: r=13-3 cos θ

Q: Question 01: Find the equation of the sphere which passes through the points (1, 0, 0), (0, 1, 0)…

A: Find the equation of the sphere which passes through the points 1,0,0, 0,1,0 and 0,0,1 and has its…

Q: Question 1 (a) Express the following in real-imaginary form: 2i(1 – i) + (V3 + 1)° + (1 + i)(I+,i).…

A: As per the policy of bartleby the provisions is to solve only 3 subparts of questions

Q: O 10 O 25 13. Transform the equation into center- radius form. Answer choices and input…

A: We have to find the center and radius of circle.

Q: QUESTION 4. Find the points on the sphere x' +y +z=1. that are closest to and farthest from the…

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Q: Question 3 3 -5 -y 2 -2 3 -3 Find a and y such that %3D 2r + y

A: In the question it is asked to calculate the value of x and y for the matrix addition shown in the…

Q: Question 1: Find the angle of intersection between the lines (x = 1+t y = 1-t z = 2t (x = 3+ 2s {y =…

A: Explanation of the answer is as follows

Q: 1.4 Describe and sketch the curve in the complex plane given by 2|2| = |2 – 2|. Also write your…

A: We assume z=x+iy then we put this value on the given equation to find the curve and from curve we…

Q: Question 5 A cylinder is inscribed in a fixed cone of radius 2c and height c. The vertical axis of…

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Q: Question 3 3 п Find the point symmetric to about the origin. 2' 6 [3 5x a) О 2' 6 [3 77 b) O 6. c) O…

A: To find the point symmetric to the given point about the origin

Q: Question 7 Describe and plot the points z in a complex plane defined by the following region: A = {:…

A: z is a complex number. A=z∈ℂ:Reiz¯2<3∩z∈ℂ:z+2i<4

Q: QUESTION 10 Consider the contour C : z-1+3i =2. The point z=4-2i lies inside real part is -2 lies…

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Q: Question 21 > Put the equation y x2 -– 6x into the form y = (x – h)² + k: - Answer: y = Submit…

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Q: Question 8. For this question you can use the standard result: (2) -du = In ]u|. Only using (2),…

A: Given : Intergral of  ( ex / 1+ex  )

Q: Question 7 r = 8cos 0 + 2sin 0 Which of the following gives the Cartesian form of the equation…

A: use the relation between polar coordinates and cartesian coordinates.

Q: 28 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4+ 3 sin(0)

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Q: Question 10. 1 1 1] 0 1 0 Find all singular numbers of A %3D

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Q: Question 7 Describe and plot the points z in a complex plane defined by the following region: A = {z…

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Q: Question 16 Given the equation + a +4y = 0, determine the location of center and its radius. O…

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Q: QUESTION 1 Suppose z-2z +x=5, What is the value of y? 3. 3i 3 5/3

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Q: Find the values of the six trigonometric functions of 0 with the given constraints. cos 0 = – 4 O…

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Q: -4 3. -5 -4 -B -2 -1 1 2 345 -2 -3 -4 The graph below can be represented by parametric equations of…

A: If ellipse is of the form  x2/a2 + y2/b2 = 1   where b>a then Vertices of the major axis of…

Q: 22 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 6 + 5 sin(0)

A: Given  r=226+5sinθ For a conic with focus at origin , directrix  y=±p, p is a positive real number…

Q: Question 6 Find the solution. (D4 + 18D2 + 81)y = 0 y = (c, + c,x) cos3x + (c,+cx) sin3x. B y = (c,…

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Q: Question 1 On the complex plane, sketch the region defined by R(2) 2 1 and 9(2) < } and |2 – }| < 2.

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: QUESTION 11 Consider the contour C : z-1+3i|=2. The point z=4-2i Not def ined lies inside real part…

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Q: QUESTION 4 Find all the distinct left cosets of H={(1), (1 2)(3 4)} in D4-

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Q: =a /2[1+3cose +3cos20 + cos*0 -1] cosed0.. %3D ... .... (32+15x) 24 %3D

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Q: 2 Find the reflection of v = | 5| on the line with equation II

A: Let v=25-1,  w=11-2 (vector of line) Projection of v→ onto line vector w→ is…

Q: Which one of the equations below matches the graph? 2 12n A) y = 2 cos B) y = -2 sin C) y = 2 sin D)…

A: It is the graph of sine function with amplitude of 2 units and period of units. That is,

Q: Question 17 of 18 > Graph y = e*2 and y = 0.2x. Use commas to separate the functions in the graphing…

A: The objective is to graph the above functions.

Q: Question 1. 1.1 Sketch the points (1,5, 3), (0, 2, –3),(-3,0, 2) and (2,-2,–1) on a single set c…

A: To locate a point (a,b,c) we can start at the origin and move units along the x-axis then b units…

Q: Question 5) By an inspection find a particular solution of the form y = a, ( a const.) to the…

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Q: 4. Objects A and B are in harmonic motion modeled by y = 3 sin(21 - 7) and y = 3 sin 21 - The phase…

A: Given

Q: Question 3 Find the point symmetric to about the x-axis. а) О 5 117 b) O 5 2n c) O 2' 3 5 5л d) O 2л…

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