Show that the function given by f(x) 3x + 17 is strictly increasing on R.

Q: (a) Show that the transformation Q = p + iaq, P = (p − iaq) / (2ia) is canonical and find a…

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Q: This is the graph of function g. 2 T -2 Y 1 2 3 → x What is the graph of its derivative, g'?

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Q: (6) Work out the commutation relation: Î,f|

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Q: Normalize the wave function e-(2r/b) sin sin over the interval 0 ≤r <∞,0 ≤ 0 ≤ T, 0≤ ≤ 2π. The…

A: To normalize wave function, we integrate the square of wave function. So when we integrate over…

Q: (5) Work out the commutation relation:

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Q: Calculate the energy, corrected to first order, of a harmonic oscillator with potential 1 V(x) =kx +…

A: Given, Vx=12kx2+ωx4+ω2x6The 1st excited state wave function for harmonic oscillator potential is…

Q: Consider the solid D given by {(r, y, 2) € R°; ² +y° <z<2- V + y?}. D = Let F(x, y, z) = (2rz + e)i+…

A: The Divergence Theorem or Gauss's Divergence Theorem was invented and proved for the first time by…

Q: Find the general indefinite integral. (Use C for the constant of integration.) √ (5-t) (2 + t²) dt

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Q: Find the norm of each of the following functions on the given interval and state the normalized…

A: we need to evaluate the integral of the square of the function over the interval, and then take the…

Q: (1) Working with Y,"(0,4) show that YS (0, 4) and Y}(0,$) are each normalized and that these two…

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Q: Determine the following indefinite integral up to a constant c: ∫(sin(3?+7)+cos(7?+3))?? Select…

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Q: Work out the commutation relation:

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Q: Find the gradient of the function f(x,y) = 6y-7x at the point (8,10). Then sketch the gradient and…

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Q: (iii) Next let us modify the inner product space by introducing a weight function w(x) e-a and…

A: The normalisation of the function in this inner product space is given by:

Q: find the inteyral f=xâ +x*j from the point {-1,0} to {1,0} on R-axis

A: Given, f→=xx^+x2y^ According to question integration only in x direction, so dr→=r^dr=x^dx limit is…

Q: (1) Lagrange multiplier is a very useful technique to determine the extremum of a function under…

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Q: Check the divergence theorem for the provided function (see attatched image), using as your volume…

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Q: Prove that the expression e*/(1+ e*)² is an even function of x.

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Q: Identify the function as a polynomial, a rational function, an exponential function, a piecewise…

A: Given           f(x) = 7x+2

Q: Sketch f(y) versus y. Show that y is increasing as a function of t for y &lt; 1 and also for y &gt;…

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Q: Consider a mass, m, moving under the influence of an effective potential energy -a b + 2 T 7.2 U(r)…

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