P(1) = 23 + 22 – 62. Then tr(A) = | %3D O5 -6 None

Q: {X> 3} fX | {X> 3} (

A: X ∼ exp (λ) PX>xX>3=PX>xX>3   ; X>30                         ; otherwise

Q: Minimize c = 2r + s > 30 Subject To: 20 3s 2 30 And Where: {r > 0, s > 0} + + + ||

A: Given that, The objective function, Minimize c = 2r + s. Subject to the constraints, We solve the…

Q: 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).

A:

Q: 3|n(n+ 1)(n+ 2), Vn E N

A:

Q: 4 The value of 2 n=1 3n2 will be + 6n .... .

A: See solution below

Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

A: Note:- As per the company guidelines we can solve first question. I hope that the given solution…

Q: 4. Is y = 5e-+7x e-2 a solution to the ODE y"+4y'+ 4y = 0 ?

A: The given solution is  y = 5e-x +7x.e-2x To verify it we will differentiate it

Q: 4. Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: The number of infected citizens, p thousand, after t weeks is given by…

Q: Oa, 1+ 16a, 2+ 225n for n> 2 with initial conditions ag = -23, a1 -19.

A: Given recurrance relation is  an=16an-2+225n     , n≥2 and initial conditions are a0=-23, a1=-19

Q: From a population of roughly 35,000, an average of 25 people dine at Samantha's Stupendous Suppers…

A: Total population = 35,000.  Average number of people dining = 25  So, we can see that the total…

Q: dy (y2+In2)=-(23+) %3|

A:

Q: Σ n=1 5n Vn3 +1

A:

Q: Suppose that SpyBorg Inc introduces a new computer game in Houston using television advertisements.…

A:

Q: The general solution for the ODE -2y+y

A: The correct answer is option c  and the solution follows as

Q: 8a, 2+ 225n for n> 2 with initial conditions ao 7, a1 83 %3D

A: Given: an=-6an-1-8an-2+225n for n≥2 with initial condition a0=7, a1=83. To find: The solution of the…

Q: BELL RINGER 1. V2k2 - 9 - x = 0 If k>0 and x=3 in the equation abové, what is k?

A:

Q: D. Show that if an 3n3 - 17n2 + 2n - 6, then a, = O(n³).

A:

Q: (8 - 1)e-2s S. F(s) = s2 – 2s + 2

A:

Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

A:

Q: -4 -2 Let E= 0 Find 2E. -3 5

A: Given,  E=-4-204-35

Q: Outcome/s: Max Z = -X1 + X2 + 2X3 ST: X1 +2X2 - X3 s 20 -2X, + 4X2 + 2X, s 60 2X1 +3X2+ X3 s 50 X1.…

A:

Q: Find dP if p = In(q³ + 3). bp dp dq

A:

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: L(cosh 4t) = %3D .a s²-16 .b O s2 – 8 .cO s²+16 S

A: option :- a

Q: A pitcher of buttermilk initially at 25°C is to be cooled by settling in on a place where the…

A: Given: A pitcher of buttermilk initially =25 degree C is to cooled by settling in on a place where…

Q: :find E10 (-1)(n-1) Zn=1 (n+1)2 %3D1

A:

Q: f(n) = n³, g(n) = 6n + 1 е.

A: Given: e) f(n)=n3 and g(n)=6n+1 To find: a and n0 such that a·f(n)≥g(n)

Q: nx) in the E 2n is

A:

Q: 4 The value of 3n2 will be + 6n .... n=1

A: We use partial fraction method to find the required sum of the series.

Q: 34) Ź (K²_2K) is e (n3) Ź ķ? ビ=3 Ź 2K = k=3 ntro)(2n+1), entntt) Sungs are さ。 2n3+ 3n?+n – ant- Gn…

A: We have solve the given  problem

Q: O': Find the general yy' – 2y² = e²

A: A first order Bernoulli ordinary differential equation is of the form dydx+pxy=qxyn Where p(x) and…

Q: Suppose O1 is twice as likely as O4, O1 is equally as likely as O2, O5 is 5 times as likely as O2,…

A:

Q: n2 for all n E N. 4n Let r, :=

A:

Q: az If x2 + xy + yz + z2 = 6, then- ду

A:

Q: y³dy 2. S. (a²-y²)7

A:

Q: 21x - 42y = 42 176x + ay = 352 What is this exceptional value for a?

A: Given 21x - 42y = 42 176x + ay = 352

Q: e2a – 6e" – 27 = 0 - -

A: e2x - 6ex -27 = 0 here lets assume ex = y y2 -6y -27 = 0 y2 -9y +3y -27 = 0 y(y-9) +3(y-9) = 0 y+3 =…

Q: pitcher of buttermilk initially at 25°C is to be cooled by settling in on a place where the…

A:

Q: A. Fail to reject H, because the P-value, 0.0433, is greater than a = 0.05. B. Fail to reject H,…

A: It is known that if the p-value is greater than the level of significance, the null hypothesis does…

Q: 3 n' (iv) En=1 2n³+5

A: (iv). Series  ∑n=1∞n32n3+5 diverges by divergence test for series.

Q: L %3D e2t e-3s-6 (s+2)? O e6-3s ( 1 3 + S+2 (s+2)2 O e-3s (s+2)2 1 3 s+2 O e2-3* ( +) 1 (s+2)2 s+2 O…

A:

Q: The fourth term in the expansion (2r + y)' is

A: The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued…

Q: (d) (e) n=1 n=1 3n²+ 1 2n² +3 2¹ (n!)² n2(2n!)

A:

Q: ral of the d D- 1)y is

A:

Q: If A = -5 1 then none O A is Skew- Symmetric and non singular

A: Skew-symmetric matrix: A Skew-symmetric matrix is a square matrix whose transpose is its negative.…

Q: 2+4+... +n lim 7n2 + yn

A: limn→∞2+4+....+n7n2+n

Q: Given that n2 1 and xn =V 4n² + 3n – 2n Will {Xn}, be divergent or convergent? n=1 Will E-1 Xn be…

A:

Q: 1. Mr. Tejas has a total investment of Rs 10,000 in 3 bank accounts, one paying 5% interest. another…

A:

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…