ns + (n + 1)t r+s - nt r, s,t real (n + 2)r + s L(n + 1)r – s – t.

Q: (a) A company has $300,000 to spend on two products. Suppose that the Utility derived by the company…

A: Consider the provided function, Ux,y=3000x0.65y0.35 (i) we need to show that U is homogeneous to…

Q: True or False. Show your proof. X[n,0) → 0 in L'(R)

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Q: 2s + 1 7. F(s) = %3D s2 - 2s + 2 1- 2s 9. F(s) %3D s2 + 4s +5

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Q: For a cooking oil company, the price they are paid for coconuts in large shipments is based on the…

A:

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

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Q: For a cooking oil company, the price they are paid for coconuts in large shipments is based on the…

A: It is given that a sample of n coconut can be taken and y1, . . . , yn denotes the amount of coconut…

Q: 24. (х + а)у' %3D bx — пу; а, b, п are constants with n # 0, n # —1. ANS. n(n + 1)у — b(пх — а) +…

A: Given:- (x+a) y'=bx-ny;  a, b, n are constants  To find:-  General solution of given differential…

Q: Perform the operations (R3 - R2) on R3 and (R4 – 5R2) on R4. 10 0 -글 : 1 2 0 1 0 10 2 0 0 1 2 297…

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Q: 4 P = 80x-2x²-xy-3y² +100y + X(12-X-Y) FinD Px, Pxx, Py, Pyy, Pxy = Pyx, fino x And y Fine Fine P

A: Here's the solution.... please have a look at it...

Q: Q3:B. Find the convolution between the signals h[n] and x[n] shown in Figure below using analytical…

A:

Q: x1, x2, x3...... x20000 iid U(2, 9), find approximation for 2X-20

A: Central Limit Theorem : If X1, X2 ..... Xn are iid random variable with mean μ and Variance σ2 then,…

Q: (2xy+ 3x2)e, +(x² – 2yz + 2y)e,- (e2 + y?)e, olan f(x, y, z)

A: Given that the function is

Q: sinz Calculate Rz-4|<T z(z-R)² dz using Residue Theorem. |z-4|<n z(z-n)²

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Q: Using R.K. method of fourth order, find y(0.8)correct to 4 decimal places if y'-y-x v(0.6)=1.7379

A: Given y'=y-x2  y(0.6)=1.7379. Using R.K method of fourth order, we need to find y(0.8)  The solution…

Q: L[(t + 1)2e] = ? %3D s2-1 s2 +1 (s-1)2 (s – 1)2 -

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Q: X(s)=(s^2+6s+7)/(s^2+3s+2) and Re{s}>-1 what is x(t)?

A: We are given : X(s)=s2+6s+7s2+3s+2 ⇒X(s)=s2+3s+2+3s+5s2+3s+2 ⇒X(s)=1+3s+5s2+3s+2 ---(1) Now,…

Q: The Power Chain Rule simplifies computing the derivative of a powerof an expression

A: To find the derivative of a power of an expression using the chain rule. ddxe3x+1 Solution: Chain…

Q: The total number of additions and multiplications in t= 0 for i := 1 to n for j := 1 to n t = (it +…

A: Given information is:

Q: Q2: Consider the IVP: y=1+2,1sıs2, y(1)=2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: neN's ;i- n(n+1) 2 JKI Ŝ i - n(n+1) لكل

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Q: s2 + 11s + 20 1-J = (1)h (q) (s² + 4s + 8)(s + 1)² J* %3D

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Q: (1)F (s)= s +9 2s2 +s -1 %3D

A: Given: L-1s+92s2+s-1

Q: а) Tin) 3D 4T(n-1) — 3Т(n-2) + (n + 6)3". Т(0) 3 0; T(1) 3D 1 b) T(n) =3 T(n/3) + 2n; c) T(n) =2…

A: (a)  Given that,  Tn=4Tn-1-3Tn-2+n+63n T0=0; T1=1 We substitute, n=2 Then we get,…

Q: Q5) Evaluate the integral 0.61-10 (6.73x + 4.3025 - 10- dx 2.316 • 10-11 122-10- Using trapezoidal…

A: The solution to the integral can be calculated using numerical methods. The formula for the…

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

A: option :- a

Q: Q5/ find y', y=In(Inx) * O y'= 1/( x-2x)*(2x)=1 O y = 1/( x-2x)*(2x)=2 none of the above

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Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: 2Fs1 ² f (x, y) dx² proof. (H-w-) 2 ./ = P√= f (gy) - P²Fs (Psy) ар(х,у) 0 as x If f (x,y) → 2

A: Introduction: A Fourier transform (FT) is a mathematical transformation that decomposes capabilities…

Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

A:

Q: 1- z Res z(z + 1). Iz=00 a) 0 b) 1 c) -1 d) 2 ||

A: Res( f, ∞) = - Res 1z2f1z, 0

Q: Residue of f (z) = e-2 at z=0 equals 23 O a. - O b. -1 8 O C. 1 2 O d. -1 2.

A:

Q: For a cooking oil company, the price they are paid for coconuts in large shipments is based on the…

A: From the given information, The total weight of the coconut shipment was found to be 900 kg.   15…

Q: 7- f (x)= 3.x², 0<xr<1 olarak verilsin. P(/2/ (2, = ? O a. 1/8 O b. 1/4 Oc 3/4 O d. 7/9 O e. 1/9

A: Solution: 7. From the given information, the probability density function of X is

Q: 3s +2 1 Find L-1 s2 + 4s + 29

A: To find laplace inverse.

Q: Solve X(n) of the given X(2) using the 3 methods X(2) = Ito. 32 + 0.52 :- It 0-8 2+ 0.152

A: In this method we obtain inverse z-transform  by summing residues of [x(z)zn-1] at all poles. Here…

Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

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Q: z/(z-3)2 dz ; C: |z+3| =3 slove by residue theorem

A: The given integral is,

Q: centered at z = -1. (-1)" (n + 1)(x + 1)" n+1 E"(z + 1)" Σ n! O m-0 El-1)~ (n + 1), (x+1)" n!

A: 1. The function given is fx=1x2. At x=-1, f-1=1. Finding the derivative of the function at x=-1. The…

Q: Transforming S Ⓒ √ 2²-22²2 =2 A -dz 1+z² z²+z B -dz 1- © S с © S D N dx using miscellaneous…

A:

Q: L(cosh 4t) = %3D s²+16 .b O s²-16 .C s2 – 4 I. .d O s2 - 8 SI

A: We will find Laplace transform of Cos hyperbolic function

Q: Q. (1): Evaluate 1=**l x-1 (a) I=- -x+2 lnr+1|+c , (b) I =+x+2lnx –1|+c © I=-x+21nļx – 1+c, (d) I…

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Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method

Q: f(M1) = 0.6 and f(M2) = 0.4. We found %3D out that 25% of the M1M1 individuals survive, 50% of the…

A: *answer:

Q: x=k y=1. kER 2=k x=1+k y=k ,kER z=1+k x=1 kFR

A: we have to find the parametric equation of the line that passes through origin and A(1,0,1).

Q: y" = 4(y-x), 0 sxs1, y(0) = 0, y(1) = 2, %3D

A: To check: given 2(a)  has unique solution.

Q: Siven X(z) = 2 + 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

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Q: seParable 5い / / とll y=2メJタ! 4 xx

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Q: 1-x2 1-x2-y2 dxdydz Evaluate * V1-x²-y²-z²

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.