3. Given: GH DE Prove: AFGH ~ AFDE F G 工

Q: Use the given information to prove that ADEF AHGF. H Given: DF E HF ZDEF ZHGF F G E Prove: ADEF AHGF

A: To prove triangle DEF is congruent to triangle HGF

Q: Prove that ||A||1 = maxi<j<n{E#1 laij|}. i=1

A:

Q: Which of the following is a condition for the figure below that will prove l || h a)La a Lc b)mLb +…

A: Given : To determine the condition when l1∥l2

Q: Prove that the following pair of formulas are equivalent in SDE.   U ⟶ ¬(E ∨ D),  ¬(¬E ∧ ¬D) ⟶ ¬U

A: we have to show  two formulas are equivalent  in SDE.

Q: Given the following : 7 = ri + yj+ zk u = ai + bj + ck (In where a,b,c constants E R.) Please…

A: We have to prove that div(u×r)= 0

Q: 5) Let à = psin(4)ū, + p² Ug Evaluate f Ã. dl given that L is the contour of the following figure.

A: Let A→=ρsinϕu→ρ+ρ2u→ϕ we have to evaluate ∮A→.dl→

Q: Given: DE = FG; GD = EF; ZHDE and Z KFG are rt.6. Prove: DH = FK D K G E

A: Given: In figure  DE≅FG; GD≅EF; ∠HDE and ∠KFG are right angles, To show: DH≅FK

Q: Led xe R be such thad Xn→x, show that %3D

A:

Q: Given the following : 7 = ri + yj + zk u = ai + bj + ck (In where a,b,c constants E R.) Please…

A: To show that divu→×r→=0, first we use the definition of cross product of two vectors then the…

Q: --Let f(x, y, z) = x²y z +2ye²+7, find Se Əx = ? af =? ду =? axdz

A: f(x,y,z) = x2yz +2yez +7 df/dx = 2xyz  df/dy = x2z + 2ez df/dz = x2y +2yez d2f/dxdz = 2xy

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

A:

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: 6. Which statements prove that APQR - ASTR? * NOT TO SCALE O A. ZPRQ = ZSRT and 2Q = LP O B. ZP = LT…

A:

Q: 9f d prove metric on x then that de de7ined by als is d (x, ) is mateic on x

A: The solution to the given question is explained below.

Q: Prove that 12) d SIAX 13)let y=x, find Ay/Ax

A: Derivative of function

Q: 2. Suppene F=Q . L the set 4 2 3 4 lnianly ? why any o? nhar happeno is F=Zs ? nidependent so? rhar

A:

Q: Let G=Sg. 14 xy= 0 for XiyE 4G, would if X=0 or y=o hoppen! 4 true, prove it l4 true, prove it;…

A:

Q: Given: 2OTS = LOES, ZEOS = ZOST Prove: TO = ES E s.

A: In △OTS and △OES∠OTS=∠OES                   (given)∠OST=∠EOS                   (given)OS=OS…

Q: Given: H bisects LKHL KH = LH Prove: 可=正 K J 7,

A:

Q: 5. If z = In , then determine if the following statement is true or false. Justify your answer. a²z…

A: Solve the following

Q: If ASTU - AXYZ, which statements must be true? Check all that apply. ST - XY YZ O XY O ZS E LX O ZT…

A:

Q: Which of the following statements must be true if AGHI ~ AJRL? Sle the apply- H K G J 7.

A:

Q: -Let e bodefined on Z by afb if 3 (29+75) a) Prove tect R 5 an eaulualerce Pebatiors…

A:

Q: IS T-dist prove o E(T)=0 QvarしT)=て %3D V-2

A:

Q: Q: If f(x)= ax* + withE a, > 0, b >0 +b,x + b, then show that Lt f(x)=o ifn>m. %3D

A:

Q: E/Prove the foltowing Eoshtutv)= CoshucoshVt Sinhu Sinhk

A: To prove that cosh(u+v)=coshucoshv+sinhu sinhv

Q: Prove Va e Z, Vb e Z, 3|(a² + b² ) – 3|a ^ 3|b where xy means x divides y, i.e., there exists k e Z,…

A: In this question we use congruence modulo.The following  are useful in this question1) If  3 |…

Q: Σ (X) E(Y), E(XY ) , Coν ( X, Y) , σχ, σχ and ρxΥ.

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: o provethat WE =c? bWex W=tan (x-et) 3 prove hat f xx + Pyy = o whene fetan () 2.

A:

Q: Given: AAFD, AF = FD KE AD , E E AD , AE = DK NK 1 AD , ME 1 AD Prove: KN s ME D K E

A: To prove - the given statement is true.

Q: Let q E Q and x E R - Q. Prove that q + XER - Q.

A:

Q: 4. Find Rable With respect ho X and X is also iable nith respect b . a ssuming fhat Y is diffrent…

A:

Q: 1f itwas x25ect, yatunt prove Thut dy

A: Simple derivative

Q: By using Caushy Riucman Prove that? e ae

A: We will use the following result :  Result : Let the function f (z) = u(x, y) + i v(x, y)  be…

Q: Suppose S, T ∈ ?(V) are such that ST = TS. Prove that range S is invariant under T.

A:

Q: 28. (a) Prove that for x e R" and s < t, Ds(x) C D;(x).

A: The notation Dsx represent  an open ball of radius s, centered at x∈ℝn. Let x=x1, x2, …, xn,…

Q: of af 42. Assume that w = (х, у) — ху, and (х, у) ду dw dw Find and at ds

A:

Q: Consider (Ru) .f : R->R -3 X3o 3. X70 Prove Pex) is Con tinuos onR-301

A: Given that                                      f:R→Rf(x)=-3; x≤03    ; x&gt;0 we have to prove that…

Q: gla): [veri de, fued g'la). ☺ Compute #4.@ If ) es ds -6

A: if function is continuous on interval [a,b], and  Above rule is also called Leibnitz rule of…

Q: 12. Given HF GK, HF 1 FG.KG 1 HK Prove AHFG AGKH Statements Reasons F %3D G

A:

Q: 3 det fi (A, Sa)→(B,Sq be an onder womorphin and, Sa={x€A: x Sq a} + Ø and Sp ={yEB: y <, flal}…

A: We have two order relations, one on set A and other on set B and we have a function f from A to B.…

Q: Prove false by creating a counterexample: P(AUB) S 9(A) U 9(B).

A:

Q: Given f(x,y)=x-exy, evaluate fy(3,0). 06 O 27 O 9 O 13

A: topic- partial differentiation

Q: if w= /x2 + y2 + z2, x= erCos0, y=erSin0, z=ee prove that aw/ar= e?r/w and aw/ae = e20/w

A:

Q: (a) Prove the following: L{f(t-r)u,(t)} =e"F(s) -ST where, (0 for t<T and 1 for t2t L{f(} = F(s)…

A:

Q: Let f: la.01-x be afunction and tet eco, then for any Acla. b) sup cef=c inf f صواب İbi

A: The given statement is true. The proof is given below.

Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: Ex 6 Show that X -Ca,i) is HOM with y- (1,00) if X and y have the euraal Seibsipace op. af R Hint:…

A: Homeomorphism: Two topological spaces and are said to be homeomorphic if there exists a function…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.