= (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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Q: 4. Show that for all formulas p, ý, 0 € S(P), (a) (y = ) = ¬(e^ ¬b).

A:

Q: Please draw and make a short explanation about of this pmf : p(y) = 1/(y+1) for y = 0, 1, ..., 6.

A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

Q: Find if y dy et 2а?+3я — 2 -

A:

Q: let x~ exp0), find B.C.R to test Ho: O3 against H,: 0 2,if4, ds o.05,

A: Exponential distribution: Here, X1, X2,,…, Xn, are iid (independent and identically distributed)…

Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

Q: o From where to where is the red bird in the air?

A: Bird is in the air, means the bird has been flying. From above given diagram, the bird has been…

Q: Q#02: Show that 2リー33+5 -- t, esint 3.

A: Some properties of Laplace inverse of a function  Linearity property :…

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

A:

Q: For which value of x is p = (1,0, x) orthogonal to ā q = (10,3, –2 )? %3D 5.

A: Solution:- step:1      ∗vectors are  orthogonal if the dot product of the  two vector          is…

Q: Let T : R? → R² such that T (1,0) = (3, 1), and T (0, 1) = (-1,3). Find T (2, 5). T (2, 5)=( (enter…

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Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

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Q: Complete the proof that AUVX ATWX. U V T. W

A: Given:  WX=VX and UX=TX. In △UVX and △TWX WX=VX                  (Given) UX=TX…

Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: Prove if: beR – {0,1} and a– 2b=ab, then b :( 1 a b+1 constans Value | 2

A: Topic:- Algebra

Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

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: Let T ∼ Γ(r, λ). If μT = 8 and r = 16, find λ and σ².

A: It is given that, The value of λ is, Thus, the value of λ is 2.

Q: Find the Re and Im parts of exp(z?)

A:

Q: Q1 find acubie palonemiat ofk given-points for27,3},(2,12)e

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Q: lo Prove that. Ax.CBx= (A.C)B. (A.B) where..As.a,it.azj.+a3.k t..

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Q: al HL b7 SAS C) NOt Co ng ruent

A: We will prove what relationship these two triangles have.

Q: If (x+iy) = a+ ib, Prove that + a b = 4(a -b*).

A:

Q: Match these values of r with the accompanying​ scatterplots:: 0.371, 0.997. -0.71, -0.997, 0.71…

A: Given: r=0.371, 0.997, -0.71, -0.997, 0.71 We are asked to match these values with the accompanying…

Q: of af 42. Assume that w = (х, у) — ху, and (х, у) ду dw dw Find and at ds

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Q: Please asssit with value for ****,*****, ****** a

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Show that (t As) can be derived from the premises pq, q→~r,r, pV (t As).

A:

Q: Evaluate the following: 6. Se (y, 1) - dr where r(t) = (t3 –t, 2t) from (0,0) to (6,4).

A:

Q: Find (t), given 7(t) = (- 2 In(5t), - 5/5t, – et). %3D F'(t) =

A: Explanation of the solution is given below...

Q: Show that if A and B are similar, then AT and BT are similar.

A: Let A and B are similar matrices. By definition of the similar matrices.  The matric A and B are…

Q: Iff = xi + yj + zk, F| =r,and i =, then show that grad -)

A: r = (x2 + y2 + z2) 1/2 . Then, we have to calculate the grad( 1/r ).

Q: Let T ∼ Γ(r, λ). If μT = 8 and σ²T = 16, find r and λ.

A:

Q: х, у, Z) %3D ху rection of Ff to two d

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Q: If f(x, y) = e + e", then .Vf(x, y) = (0, e') :Select one TrueO False

A:

Q: Check That

A: Given: ∂2W∂U∂T=∂2W∂T∂U  for W=eUT

Q: find do if yot' and both de and h = X

A: We will find the derivative.

Q: . Prove with the usual notations that: (b) A +V =- (c) A= SEŽ (a) EV = VE = A

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =

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Q: If A-B=0, implies that A*=B" %3D 0 صواب ylgn İhi O

A: Given A⇀-B→ = 0

Q: Let z, w E C. Show that |z + w[? + |z – w|? = 2(\z|² + |w|?).

A: Any complex number, Z can be represented as Z=x+iy, where x=Re(Z) , y=Im(Z) . The expression, Z can…

Q: ind r'(t),r''(t),andr'(t) · r''(t). r(t) = (t2 + 4t)i − 8t2j

A:

Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).

A: The function is φ(x, y, z)=x2z+ey/x

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:

Q: Find f, and f, and evaluate each at the given point. f(x, y) = e*y?, (In 9, 2) f(x, y) = 5,x, y) =…

A: We have to find the first partial derivatives of the given function.

Q: (b) If y=ae", express t in terms of a and y.

A: