Let det(A) = 5 and det(A + B) = 20. We conclude that det(/+A¬}B) = 15 O True False

Q: ds if s = Find dt 7t + 3 ds dt II

A: We have given;

Q: 29. Compute det B, where B = 1 2 2

A:

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

A:

Q: 12. What can you conclude from (PV Q) ^ ¬P? Prove it.

A:

Q: B increases as µ deviates from µo when Ho is false True O False

A: The provided statement is "False".

Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: If сх 3D су (тod n) and c >0 then а) х 3Dу (тоd сп) Ь) х%3D у (тod n) с) хну (тod") а) None of thes-

A: We have to solve given problem:

Q: Let AB = AC. Prove that if det(A) = 0, then B = C.

A: The given question Let AB = AC. Prove that if det(A) = 0, then B = C. this question is not correct…

Q: Evaluate (a) Ex=0 Xp(X) and (b) Ex=0 X² p(X), where p(X) = (Np°q\ -x. %3D

A: The expectation of a discrete random variable X is a measure of central tendency of the probability…

Q: Suppose E={O1,O2}, and F={O1,O3}F. If Pr[E]=0.6 and Pr[F]=0.61, wha

A: From the given information,   E={O1,O2}, and F={O1,O3}F. If Pr[E]=0.6 and Pr[F]=0.61   Here, the…

Q: 2. fow く2 <a 30 20 Prove thot 大2 %3D n 21

A:

Q: For wich of the following Lunchions is Roll's theovem applicabre in [o,2] O 2/3 f13) = (x-1) f(1) =…

A: By Rolles Theorem, for a function f:[a,b]→R, if  (a) f is continuous on [a,b](b) f is differentiable…

Q: assume that Pr[A]=0.25Pr[A]=0.25, Pr[B]=0.35Pr[B]=0.35, and Pr[A∩B]=0.1Pr[A∩B]=0.1. 1)Pr[A|B] =…

A: Given: P(A) =0.25 P(B)=0.35 P(A∩B) =0.1

Q: If Ea, is divergent and Eb, is divergent, then E(a, +bn) is divergent. Select one: O True O False

A: Sum of two divergent series not necessarily divergent.

Q: Show that (hcs) de = 1 In 27 e %3D 2. 20 (ite")(2 + 1)

A: To show: ∫0ln 2e2x1+ex2ex+1dx=12ln2720. Concept used: Integration of ∫1vdv is equal to ln v+C.…

Q: de x² + 3x On|리 + In |z + 3| + C - +C 3z2 1 :In |피- - 승미z + 3| + C 1. :In |z| + 등In|z + 3| + C O In…

A:

Q: 1] Let X,YER. Prove that VxVy(4x+9y>9⇒(x>5/4 Vy> 4/9)) using method of indirect proof.

A: Prove that ∀x∀y4x+9y&gt;9⇒x&gt;54∨y&gt;49, where x, y∈ℝ. Prove the statement using method of…

Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

Q: It is always true that SŠ S Lº 1 dzdydx = 30. O True O False

A: Hi there, At a time we can answer only one question and you was not specify the exact one. So, I…

Q: Let X ~ N(0, 1). For any € > 0, show that P(|X| > c) ≤ ²c - ??

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Let AB = AC. Prove that if det(A) + 0, then B = C.

A: Given: Let AB=AC. To Prove: If detA≠0, then B=C

Q: Let x e R,-1. Prove that VNEN (1+x)" >1+ nx

A:

Q: 2 Let A = then det(3AT) - 18 -6 -2 II

A:

Q: Suppose T: R + P, has an action on a

A: Given, And

Q: Give a natural deduction proof of V x B(x) from hypotheses 1. Vx (A(x) V B(x)) and 2. V y (- A(y))

A:

Q: In SOR method the value of 0 < w <1 Select one: True O False

A: We will use the formulation of SOR              (Successive over Relaxation) Method to     show what…

Q: Use Green's Theorem to evaluate(¹-28) O-96 O-75 O 105 -2y) de- (62-4ry") dy where C' is shown below

A: We want to calculate the integral ∫Cy4-2ydx-6x-4xy3dy

Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

A:

Q: Let an= こn らnf1 a) de ter mine whetber I an] is conver g ent or diver gent b) determine whether

A: Since part a and part b both are same, I am doing part a.

Q: o In general a;jk(Xi + Yj)Zk = a¡jkX¡Zk + AijkYiZK - True - False

A: We have to prove or disprove that

Q: 1. Let z E C. Prove that Re(z?) = [Re(z)]? - [Im(2)]² and Im(z²) = 2 Re(2) Im(2)

A:

Q: If A, B are 3 x 3 matric det(AB ') = 12 and a Then det(3A". (B)¯1)

A:

Q: Prove or disprove: If (xn) and (yn) are subsequences of each other, then xn = yn.

A: Definition: Suppose ann∈ℕ be a sequence. A subsequence of this sequence is a sequence of the form…

Q: A := {x € (0,1)|x= ar, for some r € Q} re that sup(A) = 1.

A:

Q: Prove or disprove the following: Vne Z, n³ + n²+1 is odd

A:

Q: 10.B.4: Suppose TE£(V) andcEF. Prove that det (cT) = cdim V det T.

A: Here given that T∈L(V),is the set of linear maps from V to V.

Q: Compute det B4 where B

A:

Q: Then (In (evz) +e VE) = %3D O True False

A:

Q: show that yon=exp[-S pesde]Sesplspeade 7 grods 4c is the sotommian solurion to rhe D. E ý+PO)y sgoo…

A:

Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

A:

Q: If сx 3D су (тod n) and c >0 then а) х%3D у (тоd cn) b) х%3D у (тod n) c) x = y (mod“) d) None of…

A: We have to solve given problem:

Q: Show that if A and B are both n × n, then (a) det(AT BT ) = det(A) det(BT ); (b) det(AT BT ) =…

A: Given A and B are n×n matrix.

Q: Vhich of the following must be true so that AKLM= ANOP by SAS M K N. OA: LM OP Strike Reset OB: KL…

A: The triangles ∆KLM≅∆NOP by SAS. Then which of the following is correct.

Q: * lnn is © Divergent O Commegent a Conditional © None ☺ Conergent O d O b a

A:

Q: T. det(AB) =det(A)det(B). Select one: O True O False

A:

Q: Let P= (p:p=6x-1, for some x EZ) and Q = {q:q=6y+5, for some y EZ}. Prove that P=Q

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.