Q D 2. Identify the missing information necessary to prove that TV 1 SU S O

Q: Compute ax b | if | a|= 7 and | b|= 8 and a •b= 0. %3D -> -> (a= 7 ve | b|= 8 ve a •b= 0 ise |a x…

A:

Q: Ex:- If X~ Bin(n,P) If Mx= E)= 2 V(X) = 1·2. noP, P(X=\) Find

A: It is given that EX=2 and VarX=1.2 Therefore EX=np=2 and VarX=npq=1.2 Therefore VarXEX=npqnp=q…

Q: QR MN ZN = ZR QS MP RS Given: NP Prove: R N

A: In △MNP and △QRS QRMN=RSNP=QSMP

Q: Compute | a x b| if a=7 and b| = 5 and a • b=0. (a = 7 ve | b| = 5 ve a • b = 0 ise | a x b'yı…

A:

Q: t+1, if 0 <t< 5 4 - s(t) = %3D 3/5VE - 51 if 5 <t < 10 4.

A:

Q: Which condition would prove ADEF~ AJKL? 7. K 21 A. DE JK = 1:3 B. DF:JL = 1:3 C. EF KL = 3:1 D. DF…

A: Proceed as shown below...

Q: Find the pebability of dekeching cheonge ŷ (1-B) po = 0.114 p= 0.0526 n= 100 LCS = 0.1195 %3D LC =…

A: The probability of detecting change is 1-β (given). P0=0.114 P1=0.0526 n=100

Q: 8. If s is t less than four times u, what is t in terms of s and u ? F. 4u + s oG. 4u- s H. u+s J. U…

A:

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 /(x) =. Evaluate: /r(s) dr 5--x A - 21n|x– 10| +C ® --m\x– 10| + C 2ln 5 + D +C

A:

Q: 3. Find the following. * dw if w = (2² + y) {/2z – y ду |

A: We have to calculate the partial differentiation of the given function with respect to y   The…

Q: If I (F14)- s²+1 SO is given by? a) V(s? + 1)³

A:

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: d x" = nx"-1 de 4. Prove that NɛQ

A: ddxxn=nxn-1 ;   n∈Q

Q: dr if r =Vs+1 and s=161-20t . dt 1. Find -

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Q: Show that 1 – R1.23 = (1 – r12²) (1 – r13,22 ) Deduce that (i) R, 23 2r,2, (ii) R? = r12² + r13², if…

A: Answer: For the given data,

Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

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Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

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Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = &lt;3, -5, 10)&gt; b = &lt;1, 5&gt; v = &lt;2, 5&gt; w = &lt;2, 1&gt;

Q: Q2 24. Evaluate ((1+eun) sec² 6Od:) . lan 0 A. In 4 1 В. In 2 С. е 1 D. In 3

A: Q24.  To evaluate the given integral.

Q: Given: m &lt; 1 = m &lt; 2 m &lt;. 3 = m&lt;.4 Prove: m&lt;SRT = m&lt; STR?

A: Given: m∠1=m∠2, m∠3=m∠4 According to given data m∠1=m∠2…

Q: If X~N(u , 5), Find u if P(X>12) = 0.02118 %3D O a. 1.85 O b. 2.03 O c. 11.89 O d. 22.15

A:

Q: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: Given OK with secants NS and NR, which expression represents PS. N R O P S O A. (NO)(NQ + QR) NP B.…

A:

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

A: I have disproved the result

Q: Find the singe value of the following with- aut expones (-4 11. T 4 12. 2. 100 + 10 2 13. 3. 4(6)…

A:

Q: Let X-bin(18,0.6), then P(5 <= X < 10) is closest to: O a. 0.431 Оь.0.257 O c. 0.435 O d. 0.262 О…

A: If an experiment is performed with possible outcomes as either success or  failure and the…

Q: Let L = (a" : n2 0}. Which of the following is true? O a. L = L but Lt # L. O b. L' # L but L* = L..…

A: This is a question of Automata theory.

Q: Given: m +n = p P= 3r Name: Date: Prove: 3r = 2n

A: We have to prove that 3r =2n Using given information in question

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

A: The SOR method is called as successive over relaxation method . The is called the relaxation…

Q: If X~N(u, 5), Find u if P(X>12) = 0.02118 %3D O a. 1.85 O b. 2.03 O c. 11.89 O d. 22.15

A:

Q: Given x v bin(5,0.4), then p(æ < 4) اختر احدى الدجابات 0.9897 None 0.5 1 0.01024 سوال 3

A:

Q: Use MAPLE b A compute whene A is S3 S 31 9732 A2 75 3 D O

A: The MAPLE Code and output are given below.

Q: 0. Let st have the distrobution of X ~N (4,16). (a). P(x >xo) = 0.05, (b). Fmd the number Xo smce…

A: Here it is given that X~N(4,16). We need to find the value of X0 for the two given conditions.

Q: B 2. 7.2.Preve that CD= 24 SnR Vzt2 cosx

A: Use trigonometric ratio to solve

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour…

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: The degree ofa difrentel eutn /z+(2) =0is. O None of the choices 00 0 2 01 0 3

A:

Q: If S(r) = 4r and D(t) = 2t + 5, find (S D)(1). %3D

A: Given:S(t)=4πr2D(t)=2t+5 To find: (S∘D)(t)

Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: 1. FIND ALL NUMBERS Z SUCH A23 Bz? +C2 = D 2 4 2 THAT %3D A = 13 1| T-1117 B = 124 2] 1 -2 -1 1 3 1…

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

Q: 3 Reverse the order of whyndien of ? X (6x-2) dyds x- 4

A:

Q: Q2: A: IF B = By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the def…

A: Given :A=123456101

Q: Given OK with secants NS and NR ,which exp N- P •K R S. O A. (NQ)(NQ + QR) -NP NP O B. (QR)(NQ+ QR)…

A: Concept used: Intersecting Secants theorem: The relation of p,q,r and s is p×q=s×r.

Q: Then prove that 3 (i) P (AUB) > 1 (ii) <P (An B) S 10

A: Answer: From the given data, P(A) = 3/5 and P(B) = 1/2

Q: Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

A:

Q: II. Let U = R, { x € R | 26x + 25x = 0}, J = { x €R | |4x + 2| > 10 } and K = { x € R | x? – 3x – 4…

A:

Q: [2 Q2) Assume A = |1 3 11 show that (AB)' = B' A' 6. 4 and B = 13 4. 213

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Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…