(a) Take the integral from 2 to 6 (3x^2 - 2x - 1)*Delta(x -3)dx(b) Take the integral from 0 to 5 cosx*Delta(3x)dx
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Problem 11.6 estimates the time delta t for collapse of a classical hydrogen atom, making the approximation that it shrinks at a constant rate. Calculate delta without making that approximation, as follows: Use dr/dt = dr/dE*dE/dt to find dr/dt, the rate at which the orbit shrinks, as a function of r, and find the time for this classical atom to collapse entirely, by evaluating delta t = integral from ab (Bohr's radius 5.29 ^(-11) [m]) to 0 (dr/{dt/dr}).
Using Taylorâs theorem, compute the first four non-zero terms ofthe following functions. Keep the factorial terms in yourexpansions; do not simplify:1. Expand f (x) = sin(x + p) about x = 0.2. Expand f (x) = ln(x) about x = 1.3. Expand f (x) = e^(x^2) about x = 0.Using your result from 3, answer the following questions:4. What is the truncation error of f (x) = e^(x^2)?5. Compute the integral g(x) = (integral from 0 to 1of...)e^(x^2)dx using your Taylor expansion.6. What is the truncation error of g(x)?
How much force does it take to stretch a 20-m-long 1.0 cm diametersteel cable by 6.0 mm?Tried F= YA/L (delta L) (20x10^10 N/m^2)(.00785 m^2)/(20 m) x (.006m) = 4.7 x 10^5 N, but it didn't work :(