A, where OU Find det(A), adj A and A =

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A: Given: Suppose,  Xθ~Binom(m,θ) and θ~Beta(α,β)

Q: 18) (SAnn B anlogbro dtiv C AB = 12, BC = 3x + 6, and AC = 5x – 12 a) Find BC b) Find AC

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

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A:

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A:

Q: ds 4. Evaluate s = In cot 20 in terms of de

A:

Q: az Q1:- Find the az and ax 2, if Z = x* sin x y, ay

A: In this question we have to find derivatives of z w.r.t x and y . We will use product rule.

Q: Let X - N(H, o?). Show that the MGF of X is etu+o²

A:

Q: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

A:

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C

Q: 3 Find C at any time7 2l/min SIN SIO 6l /min 8 elmin C NI8 100 Pure waley

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Q: Given: LA ZE and AB DE Prove: CB DC

A:

Q: Solve the following first-order linear DE's. y' + (cotx)y = xcscx, yE) = 1

A: Two ways it can be solved. 1)By making exact form 2)Using integrating factor

Q: 200 ra, is 25a 200 200 Let (1+ x+ x*) = Ïq,x and a = Ea, , then value of

A: We will use basic trics to arrive at the solution

Q: Suppose that x̅ = 12, Sx = 2, and z is 1. what is X?

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Q: spectra of TT* and T*T are real and cannot

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Q: 4. In AMAP and ATIE, LA = LI and ZP = LE. a. What is the relationship between ZM and ZT? b. If mZA=…

A: Given:- In ⧍MAP and ⧍TIE,∠A = ∠I and ∠P = ∠E. To find:- a. What is the relationship between ∠M and…

Q: Find the of im < Re z< £ un der w-

A: Substitute w=u+iv and z=x+iy in the transformation. w=1zu+iv=1x+iyu+iv=x-iyx+iy.1x-iyu+iv=x-iyx2+y2…

Q: In r dr

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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: (-1+i/3)°, by using deMoivre 's theorem

A:

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

A:

Q: 28. (a) Prove that for x e R" and s < t, Ds(x) C D;(x).

A: The notation Dsx represent  an open ball of radius s, centered at x∈ℝn. Let x=x1, x2, …, xn,…

Q: A) B) A P E в ATSB = A by ABDA = A by.

A: A). In

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

A:

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

A:

Q: a) Let Z = 7 – 13i, find: i) Im ) ii) (Re Z)?

A: Complex Numbers: The complex number is basically the combination of a real number and an imaginary…

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A:

Q: Let A € M₂, (C). Then, for a E o(A), GEO.MUL(A) ≤ ALG.MUL₁(A).

A:

Q: In(y) 6° Evaluate dy.

A: Consider  I=∫19ln(y)ydy

Q: (a) Let r(t) = ti+tej+fk. Find ((1),4 × (?),1) - (1)a tuj

A: First we find out first derivative of r(t) with respect to 't' then find out 2nd derivative and then…

Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x&gt;0, r&gt;0, λ&gt;0 Y~Gammas,λ fy=λsΓse-λyys-1,     y&gt;0,…

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: Let T, >0 be given. S

A: Given,                      Tt=KTxx, 0&lt;x&lt;L, t&gt;0,                   ...(1)        T(0, t)=0,…

Q: Prove that (A = B) where (A = ax + ay + az) and (B = bx + by + bz)?

A: Given- A=ax+ay+az and B=bx+by+bz To Prove- That A=B

Q: if w= /x2 + y2 + z2, x= erCos0, y=erSin0, z=ee prove that aw/ar= e?r/w and aw/ae = e20/w

A:

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: (7 In GL(2,Z,), det O 35

A: Option 1 is correct.

Q: if y ". y (In z) (a) Find

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Q: In GL(2, Z,,). det

A:

Q: a|b and alc albn + ст Vп, т E Z

A:

Q: 03) find the ax en the sl abetwed wol y=J2-X, and y= 0

A:

Q: Find T, N, B, K and t for r(t) = ti +÷e2'j when t = In 2. 2

A: answer is in next step

Q: 2. Use a theorem to find the ff. Zx if yz? + z = 5xy – 1.

A: Find out the zx when function is given as yz2+z=5xy-1 or yz2+z-5xy+1=0

Q: Ex 6 Show that X -Ca,i) is HOM with y- (1,00) if X and y have the euraal Seibsipace op. af R Hint:…

A: Homeomorphism: Two topological spaces and are said to be homeomorphic if there exists a function…

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Q: Let A + 0 and ACB. Show that NB CNA.

A: Given :A≠∅A ⊆ B

Q: Hw/O Find Adi A if A. O kind Adj A il A=

A: (1). The given matrix is:  A=521  314  463

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.