4- Prove Sca) < ela) and Conclude if ea is la-ea small Compared to lal then: ela) S(a) lal

Q: 1. Let U2 = 2. fui, 4.} is an orthonmal basa fo IR Show that

A: The set of vectors v1,v2,…,vn of a vector space V are said to be an orthonormal set of vectors if…

Q: U. In triangle DEF, mzD=31° and an exterior Dangle at vertex F has a measure of q6°. What is mzE?

A: In triangle DEF, m∠D=31° and an exterior angle at vertex F has a measure of 96°

Q: Show that for A symmetric inf. = Amin(A).

A:

Q: Show that a fomws with R>o Ssee igue] may be descuibed panometuicaly by u cU,N] Cosu, (R+ o…

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Q: 3.) Prove (cA)" = cCA) %3D

A: Let A be a m×n matrix so A=(aij)  1≤i≤m and 1≤j≤n ie A has m rows and n columns. By AT we mean…

Q: What are the 3 Triangle Similarity Theorems? : AA~ : AAS~ : SAS~ : SSA~ : SSS~ : ASA~ 1 2

A: the three triangle similarity theorems are (AA),(SAS),(SSS). see 2nd step.

Q: 7. If the triangles can be proven congruent, select the correct postulate that can be used to prove…

A:

Q: What additional information is needed to prove the triangles similar by the SAS-Criterion?

A: What additional information is needed to prove the triangles similar by the SAS-Criterion?

Q: 6. Show that the sets S = (1,5) and T = (0, 00) are equinumerous by finding a bijection from S to T.…

A:

Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

Q: ) Given : Quad rilateral RSTV with diagonals RT and su intersecting at w Prove : mLT+mLa= m23 tm<4

A: In the quadrilateral,                  ∠VWR=∠TWS.

Q: Use the tabular method to to prove the following in general 1. (ANB) C (AUB) 2. ΑΔΒ = ΒΔΑ.

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Q: Hor what salue of e dois th. a tollowng matrex haue an Tnverse Q. 2. 2.

A:

Q: 47. Sketch the triangle with vertices at the origin 0, P = (3,3,0), and Q = (0, 3,3), and compute…

A: The triangle OPQ formed by the three points P (3, 3, 0), Q (0, 3, 3) and origin O (0, 0, 0) is shown…

Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

A: The answer is given as follows :

Q: A, is skew-symmetric, then prove that (B B + B, B') An = . Ajk = 0. %3D

A:

Q: 8. Chords AC and DE intersect at Point R in OQ. If AR = 6, RC = 7, and DR = 3, what is RE? %3D %3D

A:

Q: Consider a robot arm as given in the following figure

A: answer is in next step

Q: 17. which of the folowing ions s NOT atuncton A --u-sa 10 15

A:

Q: if JERLA.b] and it hex)- J(x). except for finite mumber of Paint in Cab] then that he Rlab] prove.…

A: if g ∈R[a,b] and if h(x) = g(x) except for a finite number of points in [a,b] then prove that h…

Q: 7, Prove the fallo aing theorem 18 (of sizes Such that A and B ere madrices siers addition is…

A:

Q: Let T be a equilateral triangle with each side having length 1. Imagine T in a fixed position in the…

A: There are 8 kind of equilateral triangle from two colors red(R) and blue(B). RRR-S1 BBB-S2 RBR-S3…

Q: find the length of the SPIYAIV-e'sVom 0=0 to 0=V5

A:

Q: 2. Verify the set of conditions that guarantee triangle congruence by SSS postulate. Supply the…

A: We have to complete the given table.

Q: 1. In the diagram of A4BC and NDC below, AE and BD intersect at C, and AC 5, BC 15, CE = 2, CD- 6.…

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Q: 2. (– 13 + 3i)31

A:

Q: (o, 1,) 1. find th directional denivatve in the dire chons of at 2 Gve inter pretahon of amp uted…

A:

Q: ) Let z be a c complese number then cos ( 58+2) is bounded in C2

A: Since, sinz and cosz are unbounded on C. These are unbounded along horizontal axis .

Q: Show that if A is nonsingular and AB = O for an n × nmatrix B , then B = O .

A: We have given  matrix A is non singular and AB=0 for an n×n matrix  B. We have to prove that B=O

Q: =8, d=9 ation u such that (a, b, c, d) = p

A: The value of a, b, c and d are given as follows, a=5, b=13,c=8,d=9. To find the permutation μ, such…

Q: *10. Suppose AB = CD, AB 1 BC, and CD I BC. (a) Why must AC BD? (What congruence criterion…

A:

Q: 3 of 3 Triangle Congruence (ASA, AAS, HL) What additional piece of information would you need to use…

A: given diagram is

Q: 1. In the figure, E is the midpoint of (NS)¯and LSzZN. Which postulate justifies that APES = A MEN?…

A: Introduction: When two parallel lines are intersected by a transversal, the pair of angles formed on…

Q: A, Az, An are independert,2) PLiln)=r9)-1), where Bi is eitler Ai or Ai for izlityn in please proof…

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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: 40. In isosceles AMNP, MN = MP. With point Q on MN, MO = QP = PN. Find mZM and mZN. Q 384.

A:

Q: cos (o,+ O>)+ ì s:in (8,+Ə.)) Prove this kW- Mon 183O

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Q: Theorem 5 there is auniqe Reul for X=2 Sit X ER

A:

Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: G be H and Ki Then direct 7(H) and Let direct pradeuct 7(G) Yoduct z'(k). is

A:

Q: Select all the Points through which a unique solution for the DE ,2 y? IS nySot eed by the Existence…

A: Given differential equation is y'=13-x2-y2

Q: HW.12 Describe in your own words, what is Limear tram furmatim" How the' concept of meant by n…

A: Linear Transformation:      A linear transformation of matrix is changes the original value to the…

Q: 8. Given: ON bisects LJOH, LJ = LH Prove: JN = HN JNH

A: here, in given ∆OJN and ∆OHN ∠JON=∠HON                                      ∵ ON bisect ∠JOH∠J=∠H…

Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: Nine Starbucks are located in a 3 mile by 3 mile square area in which there is a 1 mile by 1 mile…

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Q: Find the COM of the laminas in Figure 26 obtained by removing squares of side 2 from a square of…

A: