Given the expression |z+3 - 2i = 2, find the geometric region of space where the z exists in. Graph the space as well.

Q: 6. The distance between a point x E R and a nonempty set A CR is defined by d(x, A) = inf {|x – y| :…

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Q: Select ALL of the images that are a possible cross section of a cylinder? None of these are possible…

A: We know, the cross section of a cylinder is a circle.

Q: Draw the figure and find the image of the rectangle with vertices A(−4, 2), B(2, 2), C(2, −2) and…

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Q: Find a formula, f, for the graphs shown. 10 3D -5- %3D 3D %3D 3D 10 5 i 20 x = 8 x= 16

A: In the question we have to find formula of the graph.

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

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Q: Evaluate (yzi+yj+zzk) - dA, where S is the boundary of the cube defined by -1<IS2,-1 SUS1, and 0<…

A: We can use gauss divergence theorem to evaluate the surface integral.

Q: The vertices of 5 1 are and 9 and The foci are located at

A: The hyperbola of the form whose transverse axis is along y axis and conjugate axis is along x axis…

Q: Identify the shape that can be formed using the following net.

A: Visualize how the shape will look like if we fold the triangular parts. There will be a triangle at…

Q: (d) Determine all possible points P that lie on the line passing through B and D, so that the area…

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Q: The base of a three-dimensional figure is bound by the line y = x +2 on the interval [0, 4].…

A: Let's find.

Q: Solve and draw l sketch the graph of the polhowing equotions: x2 + ag? + z? 12y - 2z t 35 O 1. 2. 2…

A: The graph for equation 1 is shown in fig

Q: Sketch the solid described by the given inequalities: 0 <rs 2,s00szs

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Q: Identify and sketch the graph of the following SURFACES. 2 = √9-y²

A: We have z=9-y2 Since z is square root of 9-y2 so z is positive always. We can write z=9-y2 as:…

Q: 47. Determine whether the circle x² – 6x + y² – 7 = 0 crosses the х-ахis.

A: I have solved the problem with two methods and find that , given Circle will cut x-axis at two point…

Q: Find the dimensions of the following linear spaces. (a) RSX3 (b) P6 (c) The real linear space C

A: In general Rm×n is a vector space of dimension m×n. So, Dimension of R5×3 is 5×3 = 15 (a) 15

Q: Given the expression |z+3i-2i| = 2 and the geometric region of space where the z exists in. Graph…

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Q: draw and identify the graph of the following surfaces a. z = √9-y²

A: Given

Q: Draw the figure and find the image of the rectangle with vertices A(-4, 2), B(2,2), C(2, –2) and…

A: Here Given corner Points of rectangle  are by  A(-4,2) ,B(2,2), C(2,-2) and D(-4,-2) Here scale…

Q: Complete the projection given below and give the general positions of the space P2/m

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Q: Do the three planes x1 + 2x2 + x3 = 4, x2 – x3 = 1, and x1 + 3x2 = 0 have at least one common point…

A: The three planes x1+2x2+x3=4, x2-x3=1, and x1+3x2=0.

Q: y? xy = 1 has by checking for each of x2 a. Without using the graph, explain what symmetries them…

A: Given: x29-y264-xy=1 To check: The given function is symmetric about x-axis, y-axis or origin.

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

A: Given circle x2+y2=9. The objective is to find the area of each triangle.

Q: 16 10 14 23 21 12 19 20 17 15 13 (c) graph. If no, try to use Euler's Formula and some estimate to…

A: To check if the given graph is planar. If yes, to find the number of regions of the planar graph. If…

Q: In the following case, a region D is defined. Tell whether the region is a domain. If it is a…

A: According to the given information, it is required to tell whether the region is a domain and…

Q: This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is…

A: Here l = x         b = x         h = x-1 The volume of a cuboid is the product of its length,…

Q: Which of the following graphs represents y = 3sin(2x)? /2 3n/2 2x 32 O A O B y y MAP /2 72 3x 2 -1…

A: Solving the problem by finding the correct graph.

Q: frnd an o-thogonal besis for the {(0,2,1),,0,1), (lo,4.0), (4,2,2){ space spanned by dac set

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Q: Graph the image of trapezoid CDEF after a reflection across the x-axis. 104 8. 6. 4 2 -10 -4 -2 0.…

A: If a co-ordinate (x,y) is reflected across the x-axis, the new co-ordinate will be (x,-y).

Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

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Q: How many regions of the plane are formed by the graph below:

A: When a planar graph is drawn without edges crossing, the edges and vertices of the graph divide the…

Q: II. Answer each. 7. Suppose there are 10 points in a plane such that no three points are collinear.…

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Q: Find the total length of the graph of the astroid x2/3 y2/3 = 4.

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Q: Fill in each blank so that the resulting statement is true.

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Q: Identify and sketch the graph of the following cquations in R. Use our convention in creating your…

A: As you have asked more than one different question which are not linked to each other, we shall…

Q: Let z be a complex mumber and fe be any fusction. If C isa closed contour and 4 r)dz =0 dhen %3D

A: By Cauchy integral formula, let f(z) be any function and C be a closed contour satisfying the given…

Q: What is the size of the space stretched by the set {x, x+x², x³, 1, x²}? a) 1 B) 4 C) 0 D) 34…

A: size of the space streatched   by the set of n element is 2n+2

Q: 2. x2+ (y-3)2= 1 49 49 Center: Vertices: Covertices:

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Q: Given the expression |z + 4 - li|S Bnd the geometric region of space where the z exists in. Graph…

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Q: In circle F with mZEFG = 88, find the m/EHG. %3D H F

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Q: Find the total length of the graph of the astroid x2/3 + y2/3 = 4

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Q: find the real numbers a,b,c so that the graph of hte fucntion y=ax2+bx+c contains the…

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Q: Q2: Test the symmetries of the graphs about which axis. y = x²y = 1 x2 + 4y? = 1

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Q: The formula in cell B1 is A$2. Autofill is used by dragging B1's autofill box across to C1,D1, and…

A: According to the formula, =A$2, row dimension 2 has been fixed and column dimension is floating.

Q: -4 which of the fillowing sets of points is a eircle whose radius is 5 and whose centre is at the…

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Q: -Region shared between the circles (r=2cos0) and (r=2Sino) season

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Q: Give a geometric description of the following sets of points. (x - 1)2 + y2 + z2 - 9 = 0

A: the given equation is: x-12+y2+z2-9=0 we have to give the geometric description of the points…

Q: The volume of an isometric drawing can be found by counting the number of blocks in the drawing. O…

A: Given: isometric drawing in geometry

Q: Show that the two triangles are congruent using a flowchart. Remember to justify your conclusion by…

A: We have to prove congruency of triangle