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(1) The ground-state wave function for the electron in a hydrogen is given by ls 0 Where r is the radial coordinate of the electron and a0 is the Bohr radius (a) Show that the wave function as given is normalized (b) Find the probability of locating the electron between rF a0/2 and r2-3ao/2. Note that the following integral may be useful n! 0 dr =-e re /a roa r a Ta
Example: Small Signal Circuit Consider the circuit to the right. Assume ls-TA and β-100. -I Draw the small signal equivalent circuit What is the ratio of the small signal voltage at the output node v Vout) to the input voltage (v1)? 01 Vout 750mv Q1
4. Consider the function f(x) = sin(x), x > 0. (a) Estimate f(r) - f(A), where TA is an approximation to rr. (b) Estimate Rel(f(A)) in terms of the error Rel (TA). - f(TA 4. Consider the function f(x) = sin(x), x > 0. (a) Estimate f(r) - f(A), where TA is an approximation to rr. (b) Estimate Rel(f(A)) in terms of the error Rel (TA). - f(TA
12.18 of the hydrogen ls d 3s orbitals, (a) The square wave honal electron density function, (b) "Slices" of the surfaces that contain 90% of lectrion probability (the "sizes Is 2s 3s ls 3s a) Figure 12.18 on page 555 shows repieseiatios of theis, 2s, and 3s atomic orbitals. Referring to this diagram, what are the diferences and similarities for these three orbitals? the Cartesian
11. Several contours are shown for a function f(, y), along with a point P in the domain (red). a. ls J, positive or negative at P? b. Is , positive or negative at P? 0s 005 c. Can you determine the sign of ,, at P? 11. Several contours are shown for a function f(, y), along with a point P in the domain (red). a. ls J, positive or negative at P? b. Is , positive or negative...
Write the function in python and show the code 2. Write a function jscore (s1, s2) that takes two strings s1 and s2 as inputs and returns the Jotto score of s1 compared with s2 -.e., the number of characters in s1 that are shared by s2. The positions and the order of the shared characters within each string do not matter. Repeated letters are counted multiple times, as long as they appear multiple times in both strings. For example...
For any matrix A E Mnxn(R), define a function TA: Mnxn(R) → Mnxn(R) by the formula TA(B) = AB + tr(A)] where Be Mnxn(R), tr(A) is the trace of A, and I e Mnxn(R) is the identity matrix. Under what conditions on A is TA a linear transformation that is also an isomorphism?
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable? 2. The transfer function of a CT LTI system is given by H(s) (s2...
please ASAP! QUESTION 5 There exists a function f such that S2++1 L(f) (s) = s2-5+1 True False
function fo)= ta,coordinates of the maximum point (tl, ftl) ) for the Note: The coordinates of the maximum point depend on the value of a. se CALGULOS Strow Your wonk α있11.5.2.3. Plots of t 2"eat .. .. 주부..a