af af дх ду af az and of. HINT [See Exam Find 24 fx, у, 2) : x² + y2 + z2 af af ду af az %3D

Q: What is eh REF of B? 1 2 1 1 B = نه who 1 0 -1 به T NC vсы N 5 0 2]

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Q: Exercise: 5x = ax + w R

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Q: s paces Xand y, then both T and Ta boanded op erators are

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Q: y= Ax + Be

A: Given equations y = Ax + Bex To eliminate the arbitrary constants.

Q: v/4 f(u) 10, %3D elsewhere.

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Q: a. (2Du + v)T|

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: W ZYOZ & ZWOY are complementary MZWOY = 19x - 26 MZYOZ = 10x %3D Find the following: MZWOY = MZWOZ =…

A: Please refer to the image below

Q: det(ABA) is equal to OA. det(A) 1 O B. det(AB) O C. det(B) OD. det(B) 1 OE. 1+ det(B)

A: We find det(ABA-1)

Q: aj = %3D a2 = %3D az = %3D a4 %3D

A: n=1 =>a2= -2a1+9 = -2(-4) +9 = 17 n=2 =>a3= -2a2+9 = -2(17) +9 = 9-34=-25 n=3 =>a4= -2a3+9…

Q: re 'C' is z-

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Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

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Q: If y(x) = u/v, then y' is * du Option1 Option3 du vdu Option4 Option 2

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Q: 3. Find a counterexample for the following: a] bd(sUT)- (bds)U (hdT)

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Q: ate f(c(t)) and ds = ||c'(t)|| i te Sc ƒ(x,y, z) ds.

A: Introduction: A line integral is a type of integral in calculus in which the function to be…

Q: af (8,9). Let f(x,y)=x?y*. Find ду

A: We are given: f(x,y)=x2y4 ⇒∂f∂y=x24y3=4x2y3

Q: EcO = 1, then o c =(htnt e* =) O true false

A: In the given problem,

Q: Consider the following model: Y = Bo + B1 + U4, where u = 4+4-2

A: Given information: The auto regressive model is given.

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: b) Evaluate ſ, S s,(x² + y² + z²)dxdydz.

A: Integrate with respect to x and plug the limits.

Q: 9. M2MPN = 10. M2NMO mPO M 11. %3D 12. тNOP %3D N 13. MZNMP = 14. M2MPO тMP 15.

A: As per our guidelines we are allowed to do 1 question or maximum 3 subparts at a time. Please post…

Q: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

A: given , A-(B∪C)  WE HAVE TO FIND EQUIVELENT TO IT FROM GIVEN FOUR OPTION

Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: 2. (Z, * ) where * is define by a * b = a - b.

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Q: A D 164 mBC : %3D m ABC = %3D В С Page 1 /2 Sian out 8-13 2.

A: Please see the explanation below

Q: и%3D 19, —8] v = [4, –5] 4u + v = | Ex: 5 :

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Q: 1. Evaluate JJ (2². R where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 2}. (2x + y) dA

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Q: The RCBD additive model is given by: A. i = n +3+T+eu B. = Hi +3+eu C. Y = Hi+n D. Yi =1+3, + Te +…

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

Q: Evaluate C and P4. pune 4. 11 C3D 11 3 7 4 %3D | = *a+

A: Given, C311 P47 We have to evaluate them.

Q: 4. у' 3D csc х +у сotx

A: Consider the provided differential equation, y'=cscx+ycotx Find the general solution of the…

Q: a) By using the substitution u = √√x +3, evaluate S. 2 √(√₁ + 3)2 d. dr.

A: Given, ∫142xx+32dx

Q: 2-) Aşağıdaki formda rastgele iki Ā ve B vektörü yazarak istenilenleri bulunuz. A = (A1)ï + (A2)j +…

A: Put A=2 na d B=2 in the given vectors and find its crosss and dot products

Q: Subst ), we nave > Zn-h 1 kn+1 h=1 = ) kin-1 Vn | 2 EWn-p 1 = Vn-1. kn p=1 Vn+1 Wn - H Hence, we see…

A: given equation (5) wn+1-μ∑p=01wn-p=∑h=12zn-hzn-ε  and  zn+1-ε∑h=01zn-h=∑p=12wn-pwn-μ also equation…

Q: noger whare : y's Fl7. ) Homogencus writter us Example 2: y'- 3yay %3D

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Q: mTQ mOR U 44 mTS T. 25 S. MSOR MRQT %3D

A: Topic:- geometry

Q: fonl gile) O If go)= S cnte dt , lnx

A: To solve the derivative of the above integral  we use Leibniz integral rule.

Q: True or False   Consider the following model, Yi = β0 + β1Xi + ui,E[ui|Xi] = 0,i = 1,...,n…

A: Solution: As per the guidelines first three parts should be answered.

Q: 3. RT = 22 and US = 18 VT = R UV = RS = %3D ST = U

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Q: Disprove the statement by giving counterexamples If m,n ∈ R, then |m + n| = |m| + |n|.

A: The equation is m+n=m+n.

Q: if was T:R Linearidentifir grand father O KerT ImF

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Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

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Q: Given: 2x' y°z ' + 5x°y*z8 7,53 6,48 f (х, у, 2) Required: fzyx » fxzz

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Q: F(u,v)=(uv)e, +(2uv)e, a) Is conservative?

A: For calculating the vector is conservative or not. We will have to find out curl of the given vector…

Q: Shuw that A s open and closed m (K,r) iPf Bd(A) = . %3D

A: Part (4) We have to prove that A is open and closed in X,ζ iff Bd(A)=∅. It is given that X,ζ is a…

Q: When u × v = 0 and u ∙ v = 0, what can you conclude about u and v?

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Q: Ue he dhe g A IBhdependant APAR ndd) dapandert And Independent. Aand

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Q: 4 If fx> 0o ag x>a<, does fw→ 01 ven example to explan your state ment

A: Given: limx→af(x)=∞ To check: limx→af'(x)=∞ holds or not.

Q: Exercise 4.6.9. If a < a', show that D CD7.

A: Given that, α'&gt;α The aim is to show that, Dfα'⊂Dfα. It is enough to show that if c∈Dfα' then…

Q: Show for Re(z) > 1 -dr = r(2) ((2). %3D et - 1

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.