A WSS noise process N(t) has ACF RNN(T) = P e 3 i, Find PSD and plot both ACF and PSID.

Q: а dx (x² + y?)

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Q: dy Find if dx 3 5, %3D V (2? + 7)* dy dx

A: The given function is y=x2+735

Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: Suppose Cov(X,Y) = 281. What is Cov(0.76X, 0.43Y)?

A: The objective of the question is to find the covariance of the two variables 0.76X and 0.43Y given…

Q: iv) z, = ei01 ,Z2 = el62 then z,. z, = ei(81-02)

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Q: i) S, 3 In dx.

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Q: Find dy/dx in terms of x and y if x = 10√/y. X

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Q: Find if x = and y = t +3 (t+1) 1 %3D dz O a. none of these O b. (t+1)°(4t + 3) Oc름(t-1)°(4t-1) O d.…

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Q: Vx - 2 dx xi(Vĩ + 1)

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Q: Determine the value of- dy - at (0,0) for the following expression: 3x² +2y = 3x – 2y dx 10.

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Q: In question (c), please use the computed result to explain why Dx=c is inconsistent

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Q: x2dx ²dx V4-x2

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Q: x dx Using Beta and Gamma Evaluate 5*

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Q: 3 dx Ja- 2) vĩ dx J e 3* (2 + e-3x) (3+cot(2x))csc?(2x) dx =, 2x/2 4 x%2 -3x1

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Q: Q.2 Evaluate : P;(x)dx=

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Q: e"(cosh(2t)-cosh(5t))dt = ? -St

A: We will evaluate this integral using Laplace transform definition.

Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: What is the discriminant of the PDE? 2 d2u/dx2= 8 d2u/dt2

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Q: įP,(x)dx = Evaluate:

A: Given, ∫01P'7x dx To find the value of this integral.

Q: Eval the Pt: dx

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Q: Find f, (9,0) if f(x,y) = 4x eY. fy(9,0) = (Simplify your answer.) %3D

A: We can find the required answer as below

Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: f(x, d,Z)cbxcly dz

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Q: dx Vx2 - 1

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Q: dy (1 + æ)* Find for y dx Ans=

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Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: 1 dx%3D3 then k =2e3 2 X if Select one: O True O False

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Q: Reversing the order of integration: (2) O dy.dx- dx dy ........ O 2

A: Reversing the order of Integration : Consider a double integral over a domain D, the we can express…

Q: V27x° dx

A: Using power function formula of integration.

Q: (a) E= 1.5x10-12 J, Q = 1.6x10-19, V = ?

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