Q: Find and sketch the sets in the complex plane given by (1) z – 3|+|2+ 3=10 IZ (2) |Arg(z)|< t/ 2
A: here we can use directly definition or properties of curve to find that which curve is represented…
Q: Find the distance from (-5, 9, –12) to each of the following: 1. The xy-plane. Answer: 2. The…
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Q: 33. Which of the following has an axis of symmetry of x = 8? mra. y = (x + 4)2 b. y = x2 – 8x + 16…
A: 33. Axis of symmetry of y=ax2+bx+c is x=-b2a
Q: 3) Let d 1 in the Bolyai - Lobachevsky formula. (i) Compute the value of the angle of parallelism a…
A: Given Information - If d=1 in the Bolyai-Lobachevsky formula then we have to find the following -…
Q: 5 Werde the equotion of the L bisector between the points A(I-2) and B (4 (Groph poper is optiunal
A: we will use slope point form.
Q: O Find the equ.of Plane that contains p(o,3) and Parallel co the X-2 Plane and PerPendicular to the…
A: We have to find equation of plane with given conditions.
Q: Draw a picture on the z-plane
A: In this question, we draw a picture of the given curve in C(t). here, first, we write the real and…
Q: 11) The following equation is in Standard Form. Find the x and y interce Show all work. 6x - 2y = 10…
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Q: 5. Which of the following is a parametrization of the line through P(-3, 2, -3) and Q(1, –1, 4) ?
A: Given, The parametrization of the line passing through P-3,2,-3 and Q1,-1,4.We know that,…
Q: 6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D…
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Q: (24 17. 3417.4) %3D Find the equation of the plane that contains the line x = 3t, y = 6 - t, z = 4…
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Q: 5/1f the three points A ( are collinear then
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Q: Evaulate ∫C▒1/sinzdz , Where C is the rectangle with vertices at -1-i, 8-i,8+i and -1+i oriented…
A: Consider the provided question, The given rectangle with vertices is drawn as,
Q: EX Find the reglon in the z-plane represented bye
A: Given
Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…
A: Given equation represent 3 Dimensions or R^3
Q: Which of the following represents the region of the complex plane defined by |z−2i-3| ≤2? (A)…
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Q: If A = 4a, + 3a - 5az; the component of A perpendicular to the surface z = 2 is; %3D Select one: O…
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Q: A. Find an equation of the hyperplane H in R° that passes through P(1; 3; 5; -1,4) and is nomal to…
A: Let's see the concept. Concept:- Equation of hyperplane H in R5 that passes through(p, q, r, s, t)…
Q: (b) Show that the equation e- - 2:2 = 1 has exactly two solutions in the disk |2| < 1, and that they…
A: Rouche's theorem: Let f and g be holomorphic function in the region D. Suppose gz<fz on the…
Q: 7.46. Evaluate 2z² +5 (z+2)³(z²+4)2² C 2+2i, 1+2i. dz where C is (a) |z-2i = 6, (b) the square with…
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Q: 4. Find the distance from (1, −4, 9) to each of the following. (a) the xy-plane (b) the yz-plane…
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Q: z₁ and 2₂ are the roots of 3z² + 3z + b = 0. If O(0), (z₁), (2₂, form an equilateral triangle, then…
A: Given that z1 and z2 are the roots of 3z2+3z+b=0. If O(0), z1, z2 form an equilateral triangle.
Q: A, B, and C are collinear points: Cis the midpoint of AB. If AC = x + 11 and CB = 2x - 5, find AC.
A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…
Q: बा 15. The following table gives the cube of the values. Find out the cube of 5 by applying…
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Q: 2 b) Prove that Imz=0, larg z - 41= 4, 2-ž =0, 1Z-il=1Ztil are different equations all describing…
A: If we let z=x+iy then We will show that y=0 which is the equation of real axis.
Q: (1.5) 1.) brejech on flive the bisecter ar-1= 2-y=32+ in the plane In me plane
A: 1.6 . Projection of a line onto the plane is either a point or a line. Projection of A onto the…
Q: 77 fox) =?& gam - & gox) then find theo %3D %3D X-3 Jolut ión of thin ineg/ualit, (fog)ca) < 2.
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Q: 2. Show that ( 1, 6), (0, 3), (1, 2), and (2, 3) lie on a common parabola.Hint: For scratch work,…
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Q: 1. In the standard (x.y) coordinate plane, point X has coor- dinates (-4.0) and point Y has…
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Q: 3. Find the coordinates of J if K(-5, 8) is the midpoint of JL and L has coordinates (-4, -1).
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Q: Let P=(- 2, - 1,3). The find distance from the point P to the plane x+ 2y + 2z = 10. The distance =…
A: solution:-plain: x+2y+2z=10point: (-2, -1, 3)formula for foot of perpendicular on the plain from…
Q: Which cube root equation shows a x-axis reflection, a vertical compression, a left horizontal…
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Q: Describe graphically the regions of the complex plane represented by each of the following…
A: Formula: a+ib=a2+b2 (a) 1<z+i≤2 Let z=x+iy be a complex number in the region. Hence,…
Q: Find the trace of the plane 9x – 9y + 11z = 5 in the coordinate xz-plane. (Use symbolic notation and…
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Q: 12 Which point is equidistant from the planes T1:- 2x +y- 2z + 3 = 0 and 73: - 2x + y- 2z + 21 = 0?…
A: Option B is correct :- (explained below)
Q: Test for symmetry with respect to each axis and to the origin xy−√(4 − x2) = 0
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Q: The points (2,4) and (3,5) lie on the parabola f(z)= ar + bx +c. If the axis of symmetry is 1 = 1,…
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Q: 2. Consider the following diagram. f +3g 3g - 4 15 Find the values of f and g that prove the two…
A: Given data is : Two given right angle triangle is congruence. To find the value of f and g.
Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…
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Q: Which of the following is a point on the sphere with radius r = 3 centered at the point (-1,0, -1)?…
A: We have given a center and radius of sphare
Q: 3. Consider the graph of z=r -y". (a) What shape are the traces parallel to the ry-plane? Are there…
A: given z=x2-y2 (A) what shape are the traces parallel to xy plane? are there any restricition on the…
Q: 18. Find the point on the plane 2x + 5y +z= 10 that is nearest to (2,0,1). What are the values of x,…
A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…
Q: The distance from the point K(3, -2, 0) to the xz- plane is Select one: O-2 O √13 O 0 02 None of…
A: We need to find out the distance between the given point and xz plane.
Q: 11) What are the indices for the planes drawn in the following sketch? а) (1-10) b) (-1 0 1) c) (-1…
A: Solution
Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-
A: To find the point on the sphere which is farthest from the given point (1,-1,1).
Q: 3. Find the coordinates of Jif K(-5, 8) is the midpoint of JL and L has coordinates (-4,-1).
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Q: What does the following equation represent in R O None of the others O Sphere O Plane O Line O…
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Q: What are the coordinates of A' after a reflection over the x-axis? 8 1.2
A: Reflection over x axis (x,y) --> (x,-y)
Q: 3. Find all the roots of z³ + 1 = 0 and sketch them on the Argand plane
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