verify that the given function is in the kernel of L. Q.y(x)=x−2, L =x2D2+2xD−2.

Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: Suppose that while driving a car, the driver suddenly sees an animal standing in the road. The…

A: Solution : Given    D(v)=13/10 +1/2 Where D(v)àdistance , v àspeed Compare equation with y=mx+c

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Let f(z) - 4z-1 pnd alz) - ar+b, where a pnd b are positive constants. If the composite

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: Calculate the 5-unit moving average of the given function. f(x) = 8x O a. Fx) = 8x³– 60x² + 200x +…

A: Please refer the attached image for complete solution.

Q: Calculate R3 and L3

A:

Q: Find the autocorrelation function for the following functions. -1 2 -1

A: The mathematic expression of the first signal in its period is written as: x1t=tT   for 0<t<T…

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Q7. Check if the following functions are Orthogonal or not? fi(x) = x* , f2(x) = x² + 1 (-1, 1] %3D…

A: Two functions, f1 and f2 are said to be orthogonal if <f1,f2>=0 over the common domain of the…

Q: The domain of function x) = In(2– x) is %3D

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Q: Select the function that is O(2n)?

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Q: Find the libraries toon L(x) of the functions at a.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.