Ascham School 2020 Year 12 Trial Mathematics Extension 2 Examination 10 Consider the set of points described by z+2 =1 the maximum value of arg z ? on the complex plane. What is A. B 3 27 C 3. 57 D.

Q: 19-22 Show that the equation represents a sphere, and find its center and radius. 20. x² + y² + z² =…

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Q: 4. An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards…

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Q: The parametric form of the solutions of the PDES

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Q: Let A = {2 € 0 m ² + 2 > 1}. (a) Sketch the set A in the complex plane. (b) Is z = -2i a boundary…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: Given - The quadratic equation 9x2 - 14xy + 9y2 - 48 = 0 To find - Use the Principal Axes Theorem to…

Q: Let z be a complex variable  z=x+iy question attached in pic

A: (a) To evaluate the given integral around the circle |z - 2| = 3.Parametrise the equation of the…

Q: Delereine he real and inaginay parts of the Eellowing complex Funchio (b) e

A: Introduction: A complex number has the formula a + ib and is usually represented by the symbol z.…

Q: Using the property of Re z and Im z to show that the hyperbola x2 - y2 = 1 can be written as: z² + (…

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Q: 3 r +6 -을V16-(y-2)2

A: Topic - conics

Q: The length of the longest axis for the ellipsoid, * + = lis in which this axis is along the axis.…

A: We Know the general equation of ellipsoid is  x2a2+y2b2+z2c2=1 Where, a=Length of semi axis along…

Q: the Complex Sketch plane the curve in given by. i) z' + z? -2.

A: The solution is as follows below :

Q: C. EVALUATING 25-27. Give the equation, use the following situation to identify what kind of conic…

A: Given that, x+5216-y-2220=1

Q: 1. Let z and w be complex numbers. (a) Show that |1+ z w² + |z – w2 = (1+|z|?)(1+ |w/?). (b) Show…

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Q: 18 12 6- -6 13 -6 -12 -18 y? Identify a and b for the hyperbola with equation a2 - 62 a = b = || to

A: Solution is given below :

Q: 4) x² (1-8)² + 100 25 =1

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Q: The volume of the paraboloid resulting from the rotation of a cylindrical vessel is: Select the…

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Q: 10.2.71 Question Help ▼ 0 The reflector of a searchlight is in the shape of a paraboloid of…

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Q: The geometric representation of the equation iz +2-2i = 16 is a circle whose center is. %3D

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Q: The angle of rotation is 18.485 of the conic section with equation Ax- Bxy +Cy 4, if A=C- 20 and B+C…

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Q: bz+ bz=c, b0, be a line in the complex plane, w the reflection of the point through the line then

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Q: section to answer the questions below. -4x-8y-36=0 What type of conic section is the equation?…

A: We will make the perfect square of the given equation.

Q: H.W-1:Find and sketch the sets in the complex plane given by (2) |Arg(z)< t/ 2

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Q: C. EVALUATING 25-27. Give the equation, use the following situation to identify what kind of conic…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: H.W-1:Find and sketch the sets in the complex plane given by (1) z – 3 +|2+ 3=10 (2) |Arg(z)< t/ 2 1…

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Q: Adjust h, k, and t to reproduce this picture, only with your ellipse being purple instead of green.…

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: H.W-1:Find and sketch the sets in the complex plane given by (1) z – 3|+|z+3=10

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: Page 177 - Classwork Directions: Sketch the parabola formed by the quadratic equation. Be sure to…

A: As per the guidelines, we are suppose to solve only 3 sub-parts. Please re-post the other sub-parts…

Q: III. Give what is asked. 6. Write the general quadratic equation for which A=2, B=0, C=0, D=-4,…

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Q: H. Identify the conic sections represented by the following formula a) 2x2 – 8xy + 4x = 12 b) x² + y…

A: I have solved first 3parts only and for all parts solution repost again

Q: 1.4 Describe and sketch the curve in the complex plane given by 21리 3 1z- 21. Also write your final…

A: We have to Describe and Sketch the curves in the complex plane given by 2|z|=|z-2| Also write final…

Q: If a, b are complex constants and a real parameter, what does the equation z = a cost+bsint…

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Q: Find the solution set in parametric form of the following system: I + 211 + -211 I3 + 214 %3D

A: We have to find the parametric form of the given set of equations.

Q: C. Find the length of a, b, and c of the following hyperbolas. 1. y?-x2 = 1

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Q: 1.3 Show that the following equation represents a sphere, and find its center and radi x2 + y2 + z2…

A: Given,          x2+y2+z2-6x+8y-10z+25=0We know that,           The standard equation of the sphere…

Q: The directrix of the parabola x? – 4 y = 0 is y =- 5 y = 0 Option 1 Option 2 y = 1 y =- 1 Option 3…

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Q: III. Consider the parabola C: 2-4 = -(x - 2)² on the xzz-plane. 1. Find the center-radius form of…

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Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 21 25 16…

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Q: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

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Q: Using the property of Re z and Im z to show that the hyperbola x2 - y2 1 can be written as: z? +…

A: See the attachment

Q: A. Write this equation in standard form: ? – 4y + 6x- 8y +1= 0. Show all of your work. B. Which type…

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Q: (4a + 22)° 2b + 4 T (20a - 4)° W 4Ь - 6 Solve for a and b in the Rhombi shown above, then find the m…

A: Given information: The length of WT is 2b+4 and the length of WV is 4b-6. The angles are…

Q: |z - 3| + | + 3| = 10 E. Determine the set of points satisfying the condition described by the…

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Q: Find the area of the fundamental rectangle of the hyperbola. x2 − y2 − 6x − 8y = 8

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Q: Q9. Draw a sketch of a hypersphere in four dimensions.

A: Hypersphere :''Hypersphere''  the mathematical object that live on the sphere in 4 dimensional…

Q: this lesson is analytic geometry standartize the conic (7x^2)+4xy+(4y^2)-2x-6y+1=0

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Q: Find the general conic form. The final answer should look something like this x^2+4y^2-64y=-156

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Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: Given :Center : Z0=4+i