a) Suppose g then f is "b) a Supnose

Q: b. Prove that coth² x-1=csch?x

A: Sinh(x)= (e^x-e^-x)/2. Cosh(x)=(e^x+e^-x)/2

Q: Find the limits in Exercise

A: Given,          limh→0-h2+6h+13-13h

Q: Determine las primeras derivadas parciales de la función en el punto (1,2) f(a, t) = V3x + 4t…

A:

Q: Sketch the grafph Following Funcfions Tor the :も L) 2=4- y bx+2y t3でンと *)モ x3+ +y2

A: Here we have to sketch the graph for the following function. i) 6x2+2y2+3z2=6j) z=x2+y2k) z=x3+y2L)…

Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

A:

Q: 2) Let W = that NOT Sobspace f e? Suow

A:

Q: 12. The figer belen do scribed cale o Da A and XC d f ZADC - fnd he reng A MACB DACO A mACB SmACO

A:

Q: 2. Answer one of the following questions: (a) Show that a necessary and sufficient condition that…

A:

Q: prove the ged (atb,a?+b³) =16Y2 assuming that gcd (a,b) =1 •

A: It is given that gcd(a,b)=1

Q: In the figure, T is the midpoint of PRand QS. P. Q T. R. Which congruence criterion can be used to…

A: SAS congruent rule. Solution shown below

Q: If Z = eax + by F(ax - by); the value of %3D az is + a ду az

A:

Q: 5. Let H= [ (û ¿)I a,b,c EIRI, show that: (H,+) is a sub gromp of (M,+).

A:

Q: Let x, y E Z. Prove that if 3 ł x and 3 ł y, then 3|(2² – v²).

A:

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

A:

Q: Let W = Lin and U= Lin 2 (a) Show that R' = W U. Explain.

A: Note:- As per our guidelines, we can answer the first part of this problem as all the parts are…

Q: B. Let ul,e)=rMsin(nt). Find Pur tru tUge Orr

A:

Q: Prove that for Vr > 0, s > 0, √√r + √√5 ± √√r + s r, s

A: # As per the guidelines we are entitled to solve one question at a time please resubmit the other…

Q: メ人 xp- Vtan (e) sec?(e) de Evewale Jhe Jollowing! op (e)as (a)

A:

Q: Is the set S= {I E R² | e21+2=2 >1} convex? %3D

A:

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: O Gven rref(A), -[!!] and A represents for mation →R; Tlu)-Au. Imear trans- Ti R State all rectors…

A: How to calculate the range of the operator T, whose corresponding RREF of the matrix is…

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

A:

Q: SHOW that V Ź a? Jor a, E IR when His ineguaity e kold .

A:

Q: hrat oR the aoos tickane frs fn Cars to leave dihe lot hin ve a Cheroles onaa Tod, reaprdiess of the…

A: here given, total 25 cars data car brand no. of cars Nissan 4 Toyota 6 mercedes 2…

Q: (a, b) is measurable. ulgn O ihi O

A: I will use the definition of measurable set.

Q: 5-The Center of aringR dented by cent CR)is the set Cent CR) - [CERIC.X = X-C,V XER? %3D Prove that…

A: solution You just need to prove that the centre is a ring within itself. Associativity of both…

Q: 7. Let B =- and = are bases for R? %3D

A:

Q: B. If f = x²cosy + y²sinx then show that fry = fyx ух

A:

Q: (a) Prove the following property: (:) - (.".)

A: Hey, since there are more than two questions posted, we will answer the first question. If you want…

Q: Use the diagram to prove that ACAS ATAS. A T. Given: CS = ST and mzCAS mzTAS= 90 Prove: ACAS= ATAS

A: Given : CS ≅ STm∠CAS = m∠TAS = 90°

Q: Shew that if f is Lip. then P is Cont. on X. Nale- In fact f is uni formly Conhnaue

A:

Q: A Tigure is showh. G N Select the statements that, when taken alone, could be used to prove that…

A: Here option 6 is correct statement. When taken it alone it can prove that ?HIN and ?TIG are similar.

Q: et whose A = T be standard matsix teans bormaton is the lineas 2. 3. Does maps R3 onto R4? s Ta one…

A: Given that T is a linear transformation whose standard matrix is given by A=203032005000. We have to…

Q: 1) Prove that T = { diag ( eia eip, eilxip)) | a,B E [0,27()} ís maximal torus in sul 3).

A:

Q: prove in words: If {X, Y, Z} ` A ∧ ¬A, then {Y, Z} ` ¬X ` = derivability

A: Use the deduction theorem: Deduction theorem states that, If ┌ A⊦B then ┌⊦ A→B

Q: Prove that: If f E Ra, b), then |fI E Rla, b) with

A:

Q: جليلة Let I = [= 1,₂1] ISR interval w that I is negligible Set.

A:

Q: (A\C) U(B\C) = Cu(BIA) %3D Prove this equivlance usaing set propicties: sta se

A:

Q: A). an inaccus ate neuls article from Jueetbook? A). grom ių it Jueittook f inaccurate ?

A: Here Given  Probability that news article come from tweeter boo k = p(T) =  0.60  probability that…

Q: (b) Using Venn Diagram to prove that (A U B)e = A° N B° ?

A: To prove the following using Venn diagram A∪Bc=Ac∩Bc First consider the left hand side  Set A

Q: Which postulate or theorem should be used to prove that AGBE = AABD? D E SAS O SS ASA

A: Given: A figure AGED, in which triangle ABG with all angles equal and DB=EB. In triangle ABG, it's…

Q: show that fo=Ixl is Conlindalus everyuhere

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: let E be a set that baunded. Prove that Inf E = Sup -E) where R, XE E y

A: To prove for a buonded set E inf(E) = -sup(-E) , where -E = {-x, x belongs to E} , we first prove…

Q: what is a phythagoras theorem?

A: Pythagorean Theorem has a right angle triangle.

Q: Given: G is midpoint of IE 21 = 2 Prove: ATIG = AREG 2 1. 3,

A: Given that, G is the midpoint of IE¯ So IG¯=GE¯ ∠I=∠E∠1=∠2

Q: Assume f,g : [a, b] → [c, d] where a < b and c < d. Prove that sup{f(x)+g(x) : x € [a, b]} <…

A:

Q: y (b, f (b)) (a, f (a))

A:

Q: Suppose that B is a point between A and C. Prove that AB−→ =AC−→

A: B is a point on AC. Let, A=(x1,y1) and C=(x3,y3)Then direction vector of AC=(x3 - x1, y3-y1)

Q: Suppose that fo sf,:X-gy and g,-3 YoZ Prove that (Hint : First use ce) to show that gfe g,, and then…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.