Determine the Laplace transform of f (t) = sin(3t) + 5e 2t O 13/(s^2 +9)]-[5/(s+2)] O 13/(s^2+ 9)] + [5/(s-2)] O 13/(s^2 + 9)] + [5/(s+2)] O 13/(s^2 + 9)] -[5/(s-2)]

Q: at point x0=1 ,x1=1 and x2=2 f(x)=sin(x)+(x^2)+xe^2 function crossing second Write down the…

A:

Q: +(n) = 3 (²³-9x² +33m - 18 enfor 1) Ⓒincreasing in (-0,0) (Ⓒineressing M- L decreasing in (2,8) in…

A: The function is given by:-Since, the natural log is present in the function.Domain of the function…

Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

A:

Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

A:

Q: Which expression to (3 + i)(1 - i)? Note i √-1. O4+i O 4 O2 - 2i O4 - 2i is equivalent

A:

Q: Given F(x)=x^2-209 , a=4 ,b=15 Find C1,C2,C3,C4,C5, by bisection method?

A: The given problem is to find the approximate root of given function using bisection method within…

Q: If the pdf is e^tx/2a -a < x < a, Find the generating function(express your answer in simplified…

A: Given:

Q: хах Vx2-6х +13

A: Let I is the value of given Integral.

Q: (14) Find two different reduced systems of residues modulo 8.

A:

Q: Need typed solution Find the Fourier sine and cosine transform of the function  x^(m-1).

A:

Q: A = [-2 3] 1 4

A: Given, A=-2314 AT=-2134

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: Q4) Find the root of f(x)= (x^2)-5, in interval [0,4] by using bisection method.

A:

Q: PC=2х7-5x6+4x4-3*3+2*-4

A: We can use the intermediate value theorem and the fact that polynomials are continuous functions to…

Q: Suppose f is an invertible function and f^-1 is its inverse. Explain how we can use the chain rule…

A:

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: 12 y' (12x +5) (4y* +3)° b. If y* +3y-4x' = 5x+1, then prove that y"(4y +3) = 24.x--

A:

Q: The psd of X(t) is given by [1+ @? for | @|<1 Sxx (@) otherwise Find the autocorrelation function.

A:

Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: Show that the polynomial p(x) = -x^3+x^2+1 has a root in [1,2]

A: We can check for the values of p(x) :

Q: Note that 1/4 ≠ 1/2; but (1/4)^(1/4) = (1/2)^(1/2). Prove that there exists infinitely many pairs of…

A: We will first parametrize the equation : aa = bb  Then we will eliminate the trivial solution : a =…

Q: Write a polynomial function of least degree with integral coefficients that has the given zeros. 23)…

A:

Q: can we calculate the derivative of a matrix and the nth root of a matrix ?

A: Yes, derivative of a matrix and the nth root of a matrix both can be calculated.

Q: P(0) = {0} O P(A^) \ {0} C P(A)°

A:

Q: Calculate R_5 for f(x)=2x^2+8x over [-1,1].

A: Given: fx=2x2+8x The interval is -1, 1

Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: show that e^(4t-3t^2) cannot be a moment generating function

A: Moment Generating Function:                The Moment Generating Function is the expected value of…

Q: the first ans second order taylor polynomials of x^(1/2) centered at 9

A:

Q: Iff

A:

Q: is ty'+2y=t^2-t+1 a linear ODE in standard form?

A:

Q: Find the derivative of f(x) = (sin³2x + cos²3x) 6cos(2x)sin²(2x)-6cos(3x)sin²(3x) O-6cos…

A: Formulas we use: fgx'=f'gxg'x fxn'=nfxn-1f'(x) cos(ax)'=-asin(ax) sin(ax)'=acos(ax).