Find AT and A-1 and (A-1)T and (AT)-1 for [1 0 A : 9 3 1 and also A c 0

Q: Equating the coefficients of corresponding powers of t gives 2/3(13A2 + 2) = 10A2 + 1, (2.200)…

A: 2313A2+2=10A2+1   .....(1)2935A3+10A2=10A3+2A2     ...(2) We need to solve the equations to find the…

Q: 27 Find (all) the value(s) of c such that ) 3c²n 8. %3D - n=0 (A) c= 3 (В) с 3 4 (C) c = - (D) c = }…

A:

Q: 4. Find g[h(x)] if g(x) = x² and h(x) = x + 3. %3D O A. x2-- 3 B. x + 6x +9 O C. x + 3x? O D. z + a…

A:

Q: Residue of at z = -3 is (z+3)² Select one: a. -2 b. 2 C. 3 d. -1 е.

A:

Q: d a value of r> 0 such that h(z) = z² +22³ + z + 1 has all its zeroes in D,(0).

A:

Q: (a) Find the real constants P,Q, R, for which 3 P Qx + R x2 - x + 1' x3 + 1 x + 1 Show that V3 dx =…

A: Show that: ∫013x3+1dx=ln2+π33 Used formulas, ∫1x+adx=lnx+a∫1x2+a2dx=tan-1x

Q: The orthogonal trajectories of r = a0 is_ r= - +c In r = -02 + c In r + c 2 02 Inr = + c 2 ||

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

Q: Equating the coefficients of z**-1 to zero E{(k +r)(k+r- 1) az 2*r-2 - [(k + r)(k+r-1) +2(k+r) – n(n…

A:

Q: k If u = f(x), then ſ dx x++2x2+1 +C for some constant k . Compute kf(1). x2+1 ... 1 (A 4 1 © -1

A: I =∫xx4+2x2+1 dxI=∫x(x2+1)2 dxu=x2+1du = 2x dxx dx =du2

Q: f A is a 2 x 2 with det(A) = 5, then det(4A-1) = %3D 80 -) 20 16 5

A: We have to choose the correct answer from the options according to the given condition

Q: Ay A'y A'y X y 1-1 -1 -2 2 1 3 -1 3 is given by x² – 4x +2 x2 O x? +2 x2 + 4x +2 4,

A: See the attachment

Q: et ● t'(x) = 805x4 (x),1 O %3D O t'(x) = 80(e)-(e*)(5x4) (x),1 e2r e2x ((*(-(,r5)(,2) 08 = (x),1 C…

A:

Q: 23. If u = f(x), then +2x² + 1 k + C for some constant k . x² + 1 Compute kf (1). (a) ¼ (b) – ½ (c)…

A:

Q: (25. The roots of g(x)= 0 are iwo times the reciprocals of the roots of x"-- 7x + 3 = 0. g{x)= A. 3x…

A: Let α and β are the roots of the equation  ax2 + bx +c = 0 then,   Sum of roots =(α + β) = -b/a…

Q: Find all values of t for which t 1 1 = 0. t +2 0 t+1 -2 -1

A: The given matrix is  t-101-2t+2-100t+1=0

Q: 2x + 1 Given that (1 – x)(2 + x)' 1. 2 + x A P-1, Q=1 -B- P= 1, Q = -1 C P=-1, Q=-1 D P=-1, Q= 1

A:

Q: If z=x+iy find the real and part of (z-1)/(z+1) x+y²-1 a) (x+1)2-y x+y2-1 b) (x+1)2+y? x²+y2+1 c)-…

A: We have to find real part of z-1z+1 if z=x+iy

Q: y' +y = diferansiyel denkleminin çözümü nedir? 3 x +- x4 040 + x + x4 x2 + c + x4

A: Option (e) is correct.

Q: If f(2) = (x² + ay² – 2ry) + i(bx² – y² + 2xy) is analytic, then val | elect one: O a. 1, 0 O b.…

A:

Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

A:

Q: 1 0 5 1 1 0 -1 3 A = -1 1 B =| 4 4 -1 -1 -2 3 2 3 1 3

A: To find The trace of the given matrix.

Q: Given Xn+1 X3 + 2x2 + 3X,n, shown below (also shown is Xn+1 = Xn), and X5 = 0.1, %3D what is AX;? a)…

A:

Q: |0.3 for x=3\ 0.2 forx=5 Px(x) = 0.3 for x=8 0.2 for x-10 lo otherwisel Find and Plot the CDF of X

A: Provided discreet random variable with probability mass function is given as: Px(x) =0.3  for x=3…

Q: 3 Find Ay and f'(x)Ax for y = f(x) = x°, x = 3, and Ax = 0.03.

A:

Q: Starting with x0 - 1.5, yo 1.2, the values x3 and y3 obtained using the pair formulae /+-y.. Y... -x…

A:

Q: -) Given Xn+1 = X +2X + 3Xn, shown below (also shown is Xn+1 = X„), and X5 = 0.1, %3D %3D %3D what…

A: Ki

Q: 27 Find (all) the value(s) of c such that 3c2n 8. %3D n=0 (A) c=3 (B) с 3 4 (C) c=-33 (D) c = } (E)…

A: Substitute the value of c as 0, 1 and 2 in the nth term to find the generated series.

Q: x =-3 is a R.S.P for (x +3)'y" - 2xy' + (1 – x²)y = 0 | | Select one: O True O False

A: Statement:  x=-3  is a Regular Singular Point (RSP) for (x+3)2y''-2xy'+(1-x2)y=0

Q: B) If A=0 0 |1 0 01 ,1+0 1 0 prove that A- =(A² + (C + A) + (D + I) 0 0 1 1 C and D are constant 014

A: In this question we have to prove A-1=16A2+C*A+D*I where C and D are constant

Q: The orthogonal trajectories of r= a0 is 02 +c 2 Inr 02 Inr = +c 2 CO Inr -02 +c 02 +c 2

A:

Q: 2) You are given T TO = (0+ 1x + 1x² + 2x³), T i) True or False: It is possible to find T ii) The…

A:

Q: Let z~N(0,1). Find a constant c for which P(-c <z< c) = 0.8664

A: From the provided information, X~N (0, 1) P (-c &lt; Z &lt; c) = 0.8664

Q: Given q(x) = 4x+3 %3D 2x2-1' find the critical points. Select the correct answer below: O -1 and - O…

A: Obtain the derivative of q as shown below: q'x=ddx4x+32x2-1        =2x2-1ddx4x+3-4x+3ddx2x2-12x2-12…

Q: 11. Find all values of t for which t-2 1 - 2 2 (a) 0; 3 1-3

A:

Q: Write a in the form of a = a„T+a„N at t = 0 without finding T and N first if r(1)=(2+3¢+ 3¢°)i+(4+…

A:

Q: Find all values of A for which det(A) = 0, using the method of this section. %3D a – 7 0 A = 6 1– 1

A: Given matrix is A=λ-7000λ506λ-1. Also given that det (A) =0…

Q: 27 Find (all) the value(s) of c such that 3c2n 8. n=0 (A) c= 3 (В) с— 4 (C) e = -} | (D) c = } (E) c…

A: Given, To find the value of c. The formula for the sum of an infinite geometric series is, where a…

Q: Find all values of t for which det(t I3 − A) = 0 for the following:

A: A=  2-2  0-3  1  0  0  0  3 Now, t·I3-A=t100010001-  2-2  0-3  1  0  0  0  3=t000t000t-  2-2  0-3  1…

Q: 2) GIVEN: ƒ.R→ R, S(x) = x²(3x – 1). Find f'(x) in factored form. Find the set, A, of critical…

A: Given f:R→R, fx=x33x−1 (b) We have to find the set Α, of critical number of fx Differentiate…

Q: Find the value(s) of the constant k so that f(x)=kx2-5x+1 and g(x)=x2- kx -6 have the same critical…

A: A point x=a is said to be critical number of a function y=f(x) iff f'(a)=0

Q: 27 Find (all) the value(s) of c such that 3cn %3D - 8. n=0 (A) c= 3 (B) c= 4 (C) c = (D) e (E) e (F)…

A:

Q: a) T(n) = T(n – 2) for n 2 2, T (0) = 5 and T(1) = -1. b) T(n) = -4T(n – 1) + 5T(n – 2) for n 2 2,…

A: This is a problem of recurrence, generating function.

Q: The characteristic equation of the ODE y (3) -2y'+y²=0 is defined by p3 – 2=0 3 – 2r+1=0 r³-2r=0…

A: We have to find the characteristic equation of the ODE as given y3-2y'+y2=0

Q: 3 3 4 If 2A + 3B = 4X - I find X, where A = -3 0 7 and %3D 71 2 2 7 -5 1 0 2. -2 4 B CS Scanned wfth…

A:

Q: of (d) If x = ;(s2 + 12) and y = s - 12, then at the point (s, t) = (1, 1), д is equal to 0 х.

A: Given : fx , y=x2y+sin(xy)+1   x=12s2+t2      ,   y=s-t2 To find : ∂f∂t at 1 , 1

Q: Q1. If Z - then z-1 %3D a. z1=+ b. z-1 =- +i c. does not exist d. z-1 = 1 – 2i

A: A complex number is defines as z=a+ib where a and b belongs to the set of real numbers. Now, find…

Q: 0. For what values of a and b is ax + 2b, 8(x) x² + 3a – b, 0 2 tinuou s at eiery r'

A: Follow next step

Q: 1. Find the coefficients of the following a) a^4 b^9 in (a^2 + b^3 )^5 (b) x^4y^6 z ^2 in (x^2 +…

A: