1 0 01 0 0 0 1 1 0 0 0 0|. Find A[9]. 0 10 0 0 LO 0 гО О Let A 0 1 0

Q: Let Z~ of Z N(0,1). Find Pro.1 Select one: a. 0.81 Оъ -0.81 O c. -0.44 Od 044

A: We have given that  X~Normal(mean=0 , standard deviation=1) Find Z-score  P(Z<z)=79.1%

Q: 71. Let z = (f(x, y))". Show that az n(f(x, y))"-1 and af az = n(f(x, y))"-1ºJ ay ax ax ay

A: Given: z=fx,yn Partially differentiate the function with respect to x, using chain rule.…

Q: 5dx Evaluate the æ(x+1)° O a. Ina + In (æ +1) + 5 +C O b. Ina – In (x + 1) – а. 5(x+1) 1 + C 5(x+1)…

A:

Q: 2 20 Let A = Which of the following is a consequence of the Cayley -Hamilton Theorem? 2 10 L-10 0]…

A:

Q: 1. Prove that 1 {2" : n E Z} = {; :n e Z}. 2n

A: I used the fact that two sets are equal iff they are subsets of each other

Q: 3 x 3 boyutlu A bir matrisi aşağıdaki denklemleri sağlasın: A 2 = A 3 = 3 A 0 = 0 To o 1° P = |0 1 1…

A:

Q: dr Evaluate J z(z²+1) Select one: a. In(- 2+1 b. In2(- c. In(1 2z с. 7²+1 d. įin(

A: To evaluate: dxxx2+1

Q: Let n e N, s > 0, a > 1. Show that n! 1"e" dr sn+1 Inz dr 1 (a – 1)2

A:

Q: TQ residue of f(z) = e (z – 1) (z + 9) at z = -9 is 10e-9 :Select one True False

A:

Q: Prove that if h E L'(R) and [ h= 0 for all s E R, then h = 0.

A: Use the Leibniz integral rule: For ∫axbx fx, tdt Where -∞<ax, bx<∞ We have, ddx∫axbx fx,…

Q: If the function u = ln (2¹+2²4-7² I-Y O2e^u O e^2u 0 2 O 1/2 O Other: then x + y sy Sx is

A:

Q: Let  A = (1 1 1, 1 2 2) Find R(A), R(AT), and N(A)

A: Given,A=111122the reduced row echelon form of AMake zeros in column 1 except the entry at row 1,…

Q: the book is "First Course on Fuzzy Theory and Applications"

A: To prove the inequality regarding membership function of the symmetric differenece of two fuzzy sets

Q: Prove that Hence deduce that L{x"; p} r(n + 1) pn+1 " if n>-1, p > 0. L{x-¹/2; p} = √√(π/p),p> 0

A:

Q: 2- Let z=x+iy. Find a) Img(1/2) b) Re z c) Img (1/z')

A:

Q: (a) Let a > 0. Using the substitution t = In x or otherwise, prove that In a e 4/a² - e 2t dt =a5…

A:

Q: A matris A is detined by 28.7500 11.1250 20.7875 3,2500 its inverse A A 0.0100 -0.0343 0,0540 0.0685…

A: To find the inverse of the matrix A, use the formula A-1=1AadjA Where A and adjA is the determinant…

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: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C…

A: Solving the problem by finding the integration.

Q: S eln (1-t) 1-t - dt ed to you in any form

A:

Q: 2.61 Let fn(x) = n 1. Prove: fn 0 uniformly on R.

A:

Q: 3. Compute the det A for 0 1 -1 0 -1 3 1 2 A = 2 2 0 -1 - 0 1 -2 1

A: As it is a 4 by 4 matrix we can expand our ain't any column and find the determinant of matrix

Q: Let z(x, y) = xe* + sin xy + y - In 2 then a a) -In 2-2 b) In 2-2 2 c) 2 (²-1) d) - 2 (²+1)

A:

Q: (a) Let n €N\{0}, and k e Z. Prove that k-

A: We will use very basic approach for this question in such a manner that it will enter in your head…

Q: prove that var (XY) == 0} 03+ 2} · o3+ 13.03

A:

Q: Assume that |Xn] 0. (Hint: first, prove that P(|X|>c+1) = 0.)

A: Answer:

Q: 4 16 Define T: R? - R° by T(x) = Ax, where A = 1 3 -

A:

Q: Show that os fj ex* +en+ 22n+1 + (2n+1)n! 25 e*(22n+3) dx – |2 + ... 5(2!) (n+1)!

A: The given integral is ∫02ex2dx. Using Taylor series, the exponential function can be written as:…

Q: Let Z ~ N(0,1). Prove for all z 2 0, P(Z > x) S

A: It is an important part of statistics. It is widely used.

Q: 1. ( Prove that for any x, y e R, we have ||| - ||y|| < |× -y|l. 2. Let u e R. Prove that 0 u 0,…

A:

Q: Homo: )g + 2) if the initiel cond. Sor yro)=1 number 1) 1s and yC") =5, 15 the ODE solvasle ? why!

A:

Q: Q/Use Definitien 13.4-1 +o prove that f(x,r}>x+y' is difterentialeat (o,0).

A: Given function is  fx,y=x2+y2

Q: o.10. Prove that (a) J,"(x) = ¿[J,(x) – 2J,(x) + J, + glw). n n-2 n' n+2

A:

Q: Let H(x):=k for x=, (keN) and H(x):=0 elsewhere on [0,1] Show that H(x) 4ER[0,1].

A: In this question, we use the definition of Riemann integral to check the function H(x) is Riemann…

Q: 10. Show that S t2 if 0 1, 2(1 - e-) then Ldf %3D

A: Laplace of differential equation.

Q: 5. Let h (z) = (z+1)(z+6)(z+10) z(z+2)(z+3) (z+3)(z–2)°, (z+2)(z+6) What is the residue of h (z)at z…

A: Given a function on complex plane as hz=z+1z+6z+10zz+2z+3+z+3z-22z+2z+6 Residue at z=-2 is given by…

Q: Suppose A · B = 0. Show that this implies that C(B) is contained in Null(A).

A: Suppose A.B = 0 then we have to show that  Column space of B contained in the null space of A  i.e…

Q: 1. Prove that L(t)=. 1 s2

A:

Q: Let a C d e f %3D Assume that det(A) = -11, compute the following. NOTE: Enter all values exactly.…

A: according to our guideline we are supposed to answer only the first three sub part of the question…

Q: əz az +Y ay ax then x- If Z = tan-1(2) O 1 O 2

A:

Q: the book is "First Course on Fuzzy Theory and Applications"

A:

Q: 9. Let S- {xeZ| 3r.seZ,x=9r+6s) and T={xeZ| 3x} b) Prove that T Cs. a) Prove that SCT. Hint for (b):…

A: Part(a) We have S=x∈Z/ ∃r,s∈ℤ, x=9r+6s and T=x∈ℤ 3/x  Now, let a=9r+6s be an element in S. Then…

Q: 82 핑 3 - 21 Prove that + Cn? m? Jyn=0

A:

Q: (a) Show that for x > 0, 1 5a' < In(1+ x) < |

A: As per guidelines, we will solve only first part. Kindly repost other part separately.

Q: Let a b A = de 9 h Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly.…

A: Since, you have asked questions with multiple subparts so we will solve first three subparts for…

Q: (18) (a) Prove that R* is isomorphic to R>0 x Z2. (b) Is Q* is isomorphic to Qo x Z2? Prove your…

A: a)  To prove :- ℝ*is isomorphic to ℝ&gt;0×ℤ2. Proof :- Define a map ϕ : ℝ&gt;0 ×ℤ2→ℝ* by…

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

A: