Today is not Monday if and only if tomorrow is Wednesday. (M, W) * O W M O WM O ~M W ~(M+W)

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: 23. Given that 4sinh - 2coshx = Ae*+ Be* then A and B are respectively А. 1,-3 C. -1,-3 В. -1,3 D.…

A: Topic- trigonometry

Q: When is it true that u+ v=v+u?

A: About Vector Space

Q: 4. Prove that it cannot be the case that x E AB and x EB\C. (Hint: prove via contradiction).

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Q: Find projvu.u = (−1, 3, 1), v = (4, 0, 5)

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Q: Hamilton circuit

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Q: How to determine The direchon that the arrow at the pout 6,1) at he eghahión of he 1t arder g'=…

A: find the slope of the equation  at particular  point Example : y'=y-2x Take x=  0     0      0     0…

Q: If (0,1) ~ (-1,1) and (-1,1) ~ R. Deduce that (0,1) ~R

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Q: The result of: 5u(t)∗δ(t−3)+2δ(t−3)∗2δ(t+3) is Select one: 5(t−3)u(t−3)+4δ(t) 5u(t−3)+4δ(t−3)…

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Q: Ok Find the Foulier Soties af the funck en fom -1

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Q: Prove that S3 = Inn(S3) = Aut(S3).

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Q: Suppose two members of the group of twelve insist on working as a pair---any team must contain…

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Q: (i),if i = j + 1)',if i = B = A-, if i +j mif i + j

A: Here we have to find the Matrix A and B then find the product according to the question, now the…

Q: {2, 3} CA implies that 2 E A and 3 e A. Select one: O True False

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Q: 15, If neZ, then nº +3n +4 is even. (Try cases.) ho bn 6. If two integono

A:

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: 16.) If u= (2, k, 1, 4) and v= (3,-1, 6,-3), find k such that ||u – v|| = 6

A: Given:        u=2,k,1,4         v=3,-1,6,-3     u-v=6      u-v=2,k,1,4-3,-1,6,-3…

Q: Let feC-2,2], fo-o. Prove that Max -2

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Q: Suppose i = (-3, –3, –5) and v = (-1, –5, –1). Then ů x ở is and i x ũ is

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Q: Suppose u (3, 2, – 4) and ī = (-5, –4, –4). Then: | u + v=| v= u= 7u= 2u 3v=

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Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

A:

Q: at a port city is s will arrive. needed.) arive) =O needed.) ve) =] needed.)

A: The mean number of oil tankers at a port city is 15 per day (λ) The port has facilities to handle up…

Q: 長13: if Z=yety+yモ +%+10 Pind Ex, Zy こしレ

A:

Q: Suppose = (4, –4, 1) and i = (3, 1, –4). Then ux v is and ひ×u is

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Q: 12 + U2 + PU2 U2 0, U1 > 0. U2 1- P 12 Thus, we get that U1-1 = 0, U2 - 12 = 0. So, U1 = l1 and U2…

A: GIVEN , => U1+PL1/U1+U2 +PL2/ U2 ≤L2+PU2/L2 +L1 +PU1/L1 NOW ,Taking Right side All to Left Side…

Q: a. Drives a Waja car or a Toyota car b. Is a male or a worker who drives a Honda car, c. Drives a…

A: HERE AS PER POLICY I HAVE CALCULATED 3 SUBPARTS ONLY  here draw contigency table from given…

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v (1,-1, 3), and w= (3, 2, 5). (a)…

A: (b) ( 6, 11 , 6 )   We have to write it as linear combinations of (2 , 1 ,4 ) , (1, -1, 3 ) and (3…

Q: The inductive step of an inductive proof shows that for k > 4 , if k! > 2k then (k +1)! > 2k+1…

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Q: Prove that if r>3 and y > 4, then ry > 11.

A:

Q: A library subscribes to two different weekly news magazines, each of which is supposed to arrive in…

A: Given, Let the events be: The corresponding probabilities are:

Q: 8. Express the following as linear combinations of u = (2, 1, 4), v= (1,–1, 3), and w= (3, 2, 5).…

A: The given vectors are:u=2, 1, 4, v=1, -1, 3, w=3, 2, 5

Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

A:

Q: Suppose that, based on your roommate's expert knowledge, you set the ROPE for O at (-5, 5). Suppose…

A: We always consider a ROPE around a null value of a parameter Here, we set ROPE for θ at (-5,5 )…

Q: 12 + 22,., +n? =n(n+ 1)(2n + 1), Vn eN

A: We will prove this as following.

Q: 9. Suppose that the possible values of p and q are all fruit. Let A(p, q) mean that p tastes better…

A: That the possible values of p and q are all fruit. Let A(p, q) mean that p tastes better than q,…

Q: Given: mz1 = m24 and mz2 = mz3 Prove: mzYOE = M¿EOU U Statements Reasons 1. mz1 = m24 and m22 = m23…

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Q: 2 If A = 22 and B = -70 6. 10 , verify that B = s-AS, where s = -19

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Q: If det(A)=0, then:

A:

Q: 5. Demonstrate that Im(iz) = Re(z).

A: It is required to demonstrate the problem 5. Problem 5 is solved below in detail.

Q: and y If a = -, then æ =

A: The value of angle is  α =-π3 To evaluate : the terminal point Px,y on unit circle.

Q: -bability den= 10 > 7) is:

A: The probability density function is given as, fx=110 for 0≤x≤10. To determine the value of the…

Q: rk together then we will succeed." tatement: Contrapositive:

A: In this question, the concept of Predicate Logic is applied. Predicate Logic The study of Predicate…

Q: (2). By Contrapositive: “V n e Z, if 3| (n² + 1), then 3 ł (2n² + 1)."

A: Solution:

Q: If n ≥ 3, then (Sn, 0) is

A:

Q: Therefore we obtain that U1 +h +P U2 12 0, U1 > 0. 1- p 12 U2 Thus, we get that -h = 0, U2 – 12 =…

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Q: Suppose ū = (1,-5, 1) and ī = (0, –5, 3). Then: u + v= и — 0% U - u= 5u= 2u – T0=

A:

Q: 8. Express the following as linear combinations of u= (2, 1, 4), v= (1,–1, 3), and w (3, 2, 5). (a)…

A: Linear combination :  A vector v∈V(F) is said to be a linear combination of the vectors v1,v2,...,vn…