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3. (a) Given that e2i4 sin20 32m show by direct differentiation using the raising operator L+ that 1,12,-2(9,0) 0 (b) Also for e 32T sin 2,-2(0,9) show using the raising operator L. that 3....
2. (a) Given that (3 cos2- 1) find Y2-1(θ, φ) by direct differentiation using the lowering operator . (Ans: 15 (b) Show that Y2,-1(0,) is normalized, that is (c) Show that Y2,0 (θ,d) and Y-1(0.0)...
2. (a) Given that (3 cos2- 1) find Y2-1(θ, φ) by direct differentiation using the lowering operator . (Ans: 15 (b) Show that Y2,-1(0,) is normalized, that is (c) Show that Y2,0 (θ,d) and Y-1(0.0) are orthogonal to each other.
2. (a) Given that (3 cos2- 1) find Y2-1(θ, φ) by direct differentiation using the lowering operator . (Ans: 15 (b) Show that Y2,-1(0,) is normalized, that is (c) Show that Y2,0 (θ,d) and Y-1(0.0) are orthogonal to each other.
Find a differential operator that annihilates the given function. xe-3*sin(-12x) +X odlo-3)2 +144]1 08. [(0+3)2–144]1º oc[(0-3)2-144]1_4...
Find a differential operator that annihilates the given function. xe-3*sin(-12x) +X odlo-3)2 +144]1 08. [(0+3)2–144]1º oc[(0-3)2-144]1_4 ool(D+3)2+144]10 OE[(D+3) 2+144] +02
3. Using the linearity of the wave equation, solve the wave equation problem 82u 2 82u a(0, t) = 0 u(L,t)0 u(z,0) = sin( ) (z, 0) = sin( F) 3. Using the linearity of the wave equation, solve the...
3. Using the linearity of the wave equation, solve the wave equation problem 82u 2 82u a(0, t) = 0 u(L,t)0 u(z,0) = sin( ) (z, 0) = sin( F)
3. Using the linearity of the wave equation, solve the wave equation problem 82u 2 82u a(0, t) = 0 u(L,t)0 u(z,0) = sin( ) (z, 0) = sin( F)
osesin and 3 Given sin e 5 -7 37 sin B= 25' 2 Find tan(20) <B<...
osesin and 3 Given sin e 5 -7 37 sin B= 25' 2 Find tan(20) <B< 27.
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can'...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
SIII 4. Evaluate 3 (cos 30°)2 +2 (sin 60°)2 without using a calculator. 12. Given that...
SIII 4. Evaluate 3 (cos 30°)2 +2 (sin 60°)2 without using a calculator. 12. Given that sin 0 =-. Show that sin (90° — O)=cos .
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we c...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
QUESTION 6 Compute the Taylor series of f(x)= sin 2x at Then show for the series...
QUESTION 6 Compute the Taylor series of f(x)= sin 2x at Then show for the series above that linck; f(x) = 0 for each r QUESTION 7 Let f (x) =-x + 3, x E [0, 1] and let P be a partition of [0,1] given by 1 2 n-1 Calculate L(P) and U(P) and prove using these summations that f is Riemann integrable on [0, 1]. Also evaluate o f(x)dx.
7- Show a complete LR(0) and SLR(1) parsers, including the canonical collection of LR(0) and parsing table, using the following grammar E-→ E + T / T T-, T F / F l a l b Is this grammar LR(0) or...
7- Show a complete LR(0) and SLR(1) parsers, including the canonical collection of LR(0) and parsing table, using the following grammar E-→ E + T / T T-, T F / F l a l b Is this grammar LR(0) or SLR(1)? Why?
7- Show a complete LR(0) and SLR(1) parsers, including the canonical collection of LR(0) and parsing table, using the following grammar E-→ E + T / T T-, T F / F l a l b Is...
help please!! Evaluate the integral using the two different methods given. S sin 0 cos do,...
help please!!
Evaluate the integral using the two different methods given. S sin 0 cos do, A. Use Substitution Rule with u = sin(0) B. Use Identity: sin(20) = 2 sin 0 cos 0. Show all work on your paper. Label each answer with the part (A or B). Let y = f(x) be a continuous function. f(-2) = -4, f(1) = 0, and f(3) = -2 Domain of Y is (-0,00). For all æ in (-0, 1) U (3,...
2. (a) Given that (3 cos2- 1) find Y2-1(θ, φ) by direct differentiation using the lowering operator . (Ans: 15 (b) Show that Y2,-1(0,) is normalized, that is (c) Show that Y2,0 (θ,d) and Y-1(0.0) are orthogonal to each other.
2. (a) Given that (3 cos2- 1) find Y2-1(θ, φ) by direct differentiation using the lowering operator . (Ans: 15 (b) Show that Y2,-1(0,) is normalized, that is (c) Show that Y2,0 (θ,d) and Y-1(0.0) are orthogonal to each other.
Find a differential operator that annihilates the given function. xe-3*sin(-12x) +X odlo-3)2 +144]1 08. [(0+3)2–144]1º oc[(0-3)2-144]1_4 ool(D+3)2+144]10 OE[(D+3) 2+144] +02
3. Using the linearity of the wave equation, solve the wave equation problem 82u 2 82u a(0, t) = 0 u(L,t)0 u(z,0) = sin( ) (z, 0) = sin( F)
3. Using the linearity of the wave equation, solve the wave equation problem 82u 2 82u a(0, t) = 0 u(L,t)0 u(z,0) = sin( ) (z, 0) = sin( F)
osesin and 3 Given sin e 5 -7 37 sin B= 25' 2 Find tan(20) <B< 27.
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
SIII 4. Evaluate 3 (cos 30°)2 +2 (sin 60°)2 without using a calculator. 12. Given that sin 0 =-. Show that sin (90° — O)=cos .
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
QUESTION 6 Compute the Taylor series of f(x)= sin 2x at Then show for the series above that linck; f(x) = 0 for each r QUESTION 7 Let f (x) =-x + 3, x E [0, 1] and let P be a partition of [0,1] given by 1 2 n-1 Calculate L(P) and U(P) and prove using these summations that f is Riemann integrable on [0, 1]. Also evaluate o f(x)dx.
7- Show a complete LR(0) and SLR(1) parsers, including the canonical collection of LR(0) and parsing table, using the following grammar E-→ E + T / T T-, T F / F l a l b Is this grammar LR(0) or SLR(1)? Why?
7- Show a complete LR(0) and SLR(1) parsers, including the canonical collection of LR(0) and parsing table, using the following grammar E-→ E + T / T T-, T F / F l a l b Is...
help please!!
Evaluate the integral using the two different methods given. S sin 0 cos do, A. Use Substitution Rule with u = sin(0) B. Use Identity: sin(20) = 2 sin 0 cos 0. Show all work on your paper. Label each answer with the part (A or B). Let y = f(x) be a continuous function. f(-2) = -4, f(1) = 0, and f(3) = -2 Domain of Y is (-0,00). For all æ in (-0, 1) U (3,...
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