What translation rule maps A'BCD to A'B'C'D' C C D' A A A. T(-1, 0) B. T(1,0) о С. То, -1) O D. T0, 1) 4. B.

Q: 2. Prove: cot2x - csc²x = -1 %3D

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Q: Show that |qbu)|&x + 7元? the closed on interval [-元,T」 fo1 -π2 2くだ gluen that glven gux) for

A: Given g (x) = x +x² To find the maximum value of g(x). We can differentiate the function and equate…

Q: b) Evaluate the intergral. Show (with your work) that it is Cunvergent and give its Value or that it…

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Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: is con hinuous neither in the in ter val [o,3], piecewise Determine if the funchion continu ous 3-t,…

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Q: Find the projesiin Fisi+2j intro - Scaher componet

A: The vector equation is F=5i+2j. The vector equation is v=i-3j

Q: Another Reciprocal Property Prove that if 0 < a < b,then 1 <-< -. b a

A: 0&lt;a&lt;b

Q: When using Simpson's rule we must having two distinct point Select one: True False

A: The formula for Simpsons 1/3rd rule is ∫ydx = h3f(x0) + f(xn) + 2(f(x2) + f(x4)+..f(xn-2)) +…

Q: Compute the Jacobian at the point indicated. G(u, v) = (v In(u), ưu!), (u,v) = (1,7) (Use symbolic…

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Q: dont understand what you have done in at the beggining

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Q: 3) Use Green's Theorem to evaluate o-ydx+xydy where C is the line segment from (-2,0) to (2,0) then…

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Q: Find a non zero unit vecor î that is orthogonal to u1= (1,2,1) and Uz= (2,5,4) in R³.

A: The given vectors are u1=(1,2,1) and u2=(2,5,4) in R3

Q: Find the divectional desivative of div (anadF) he point (1,1,2) in the direction of 3 2 at The -i+…

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Q: Suppose that (Q x Q, +,.) is a ficld where (x, y) + (z,w) (x+z,y + w) and (x, y). (z, w) (xz +2yw,…

A: I have find identity of the field and then inverse

Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 15) - (-) 3 v = O parallel O…

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Q: Theorem: Proper ies of Transposes 3.) %3D

A: If we take transpose of transpose matrix, the matrix obtained is equal to the original matrix.…

Q: Find the angle (in DMS) between the line L1 through the points P1(2, 1, 4) and P2(–1, 4, 1) and the…

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Q: 1. Prove that in a triangle, the orthocenter, centroid and the circumcenter are concurrent (in a…

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Q: If divF (x, y, z) = 0 for all (x, y, z), then curlF (x, y, z) = (0,0,0) for all (x, y, z).

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Q: 10. Find the generalized Hukuhara difference u OgH v, where u = v = (1,3, 5). Does their Hukuhara…

A: Given -  u = (1, 2, 3)  v = (1, 3, 5) Generalized Hukuhara difference (gH difference) will be -

Q: Find a non zero unit vecor û that is orthogonal to u1= (1,2,1) and Uz= (2,5,4) in R³.

A: Cross product of two vector is perpendicular to both vectors.

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: Show using MGF technique that if Z, - N(0,1), for i = 1,2,3,4,5 , then U = Ez - x² with 5 degrees of…

A: Using the MGF technique we have to prove that : U = ∑i=15Z2i ~ χ2 with 5 degrees of freedom, If Zi ~…

Q: 27 - Dans une étude, l'équation de régression linéaire simple a été trouvée comme y = 3,02 - 10,30 *…

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Q: Prove that • I %3D

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Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: 5 of 19 Next > Jahir Hardiman-Moore Create a translation (x+6) and (y+4) 10 -10 10 20 --10- Figure 1

A: Answer is correct.  Because, our points in given graph of figure 2 and after translation are same.

Q: Lauen is making a roof made of tarpanlin and stretched at pointa A, H, and C which are ocated in a…

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Q: When using Simpson's rule we must having two distinct point Select one: True False

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Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

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Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y3…

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Q: matrisinin özdeğerleri aşağıdakilerden hangisidir? o {,-3} po {0,1} 9o {2,-글} {2, –}} d) o {2, –2}…

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Q: Prove that zU LX Statement Reason 1. y XV 1. Given 2. yz VW 2. Given 3. uz e WX 3. Given 4. VZ = YZ…

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Q: 3. If u= (x+y +z') , prove that +y

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Q: Let V, 3 V3 = Vz= -3 8. %3D 131 2- -5 does { Vi,UeiVa} span R3?

A: Given vectors, v1 = 06-2 , v2 = 0-38 and v3 = 4-1-5 These vectors will span ℝ3 if they are linearly…

Q: 2.) Use the chain cule to find dz and d ond guen the fllowng: Yoy must show in work that your the…

A: We have to find partial derivatives.  Concept:

Q: Compute the orthogonal projection of u'onto v. Use the square root symbol 'v' where needed to give…

A: Given vectors are u→=−64−6 and v→=−23−2. We have to find the projv→u→. We know that…

Q: Suppose u, VE Vand ||u|| < 1 and ||v|| < 1 . Prove it: V1- ||u||?/1- ||u||2 <1- (u, v)|

A: Suppose u, v∈V and u≤1 and v≤1 We have to prove that 1-u21-v2≤1-u,v Here, we have  u≤1 and v≤1 Also,…

Q: Tofology 2. EX しT X={12/3/4 /5,6 T=Eメ,中っをり,立る, りろ4。 LeT {1,3,4), Topology ? زژه اوم.

A: For the given statement

Q: Sketch planeglven by Iz-31 = 1Z + lomplen the Cunve in the |ス-3| - |N+3i| 2. 2. 2. =フナ

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Q: Find a non zero unit vecor ô that is orthogonal to u= (1,2,1) and Uz= (2,5,4) in R³.

A: We have to find a non-zero vector V that is orthogonal to u1=1,2,1 and u2=2,5,4 in R3.

Q: Question #30

A: Note: Some of the basic calculations are directly written due to the question being very lengthy. We…

Q: 4. Prove: -| s|x - y| Vx, yER

A: Solve the question number 4 as asked by the user

Q: 7 In the figure MN | OP and ZOST= 73°. %3D Find the measure of ZMTS and ZSTN. M T 73° R. P. A ZMTS…

A: We have to find the angel

Q: (b) Show that when dist(x, y) = dist(x, –y), then x and y are onal. orthog- %3D

A: Given  dist(x,y) = ||x-y||

Q: 17

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Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.