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Question 2: La température dans l'atmosphère est bien approximée par une collection de fonctions d'altitude linéaires. Prener p= quand z - Okm. Trouver des expressions pour la pression et la densité à chaque hauteur. Quelle est l'altitude qui est supérieure à exactement 90% de la masse de l'atmosphère? Négliger la courbure de la terre et intégrer en coordonnées cartésiennes. Traiter l'air comme un gaz parfait avec R 287J The temperature in the atmosphere is well ap proximated by a piece-wise...
COURSE CE 3202 - Design of Concrete Structures SUBJECT HOMEWORK 4 DATE LECTURE # HW 4-2 A simply supported beam with the cross section shown in Fig. P9-5 has a span of 25 ft and supports an unfactored dead load of 1.5 kips/ft, including its own self-weight plus an unfactored live load of 1.5 kips/ft. The concrete strength is 4500 psi. Compute (a) the immediate dead load deflection. (b) the immediate dead-plus-live-load deflection. 16 No. 8 bars Fig. P9-5
Given X 2T-QM making M the subject of the equation Question 5 Not yet answered Marked out of 1.0 P Flag question we get Select one: O i. NONE OF THE OPTIONS GIVEN If 2x-1 3(3x - 5) then x- Question6 Not yet answered Marked out o 0 O i. none of the options P Flag question i. -2 17 Select one: If atbab Find -4 -9- Select one: Oi-25 O i. 7 O ii. None of the options Question...
Question 5. (8 points) Find the following: (a) L{t- sin(2t)} (b) C{2* * cos(t)} (c) c- )4+{2+2 +5} 4s S2 + 2s + 5 (d) C-1 6e-3 $2 +1
Find Error 1. (x)(Ey)(Ez) (Haxy --> Izy) .......p 2. (Ex) Kxxx ........p 3. (Ex) Kxxx ..........EI, 2 4. (Ey) (Ez) (Haay --> Izy) ........UI, 1 5. (Ez) (Haaz --> Izy) .........EI, 4 6. Haay --> Iyy ..........EI, 5 7. (x) (Haax --> Ixx) .........UG, 6 8. Haau --> Iuu ........UI, 7 9. (u) (Haau --> Iuu) .......UG, 8 10. Haaa --> Iaa .......UI, 9
Question 2: (26 marks) 2.1 Find the The Laplace transform of the following function t, if 03t<1 2t, if t1 [3] 2.2 Find the inverse Laplace transform of 10e 2 52 - 53 +632 - 25 + 5 (10] 2.3 Find y(4) if y(t) = u(t){t - 2)2 - us(t)/(t - 3) - 2) - us(t)e' (51 2.4 Solve the following initial value problem given by y" + 4y = 28.(t) (0)=1/(0) = 0 181 Question 3: (17 marks) Let...
7. (5 points) Find the linear approximation for f(x) = tan(2x) at a = 0 and use it to approximate the value of tan(0.002). Hint: The linear approximation is just the tangent line to the curve at a = 2. 8. (5 points) Use the Mean Value Theorem for derivatives to find the value of x = c for f(x) = Vx on the interval (1,9). 9. (5 points) The acceleration of an object moving along the number line at...
For a given law of motion of a particle M find a location of a particle for a time ty (in sec), trajectory, velocuty, tangential, normal and full acceleration -2t +3 4 cos (xt/3) 2 4 sin2(xt/3) sin(rt/3) -1 4t +4 2sin(t/3) 3e2 +2 3t2 + 7 sin(rt/6) +3 -3cos(nt/3) + 4 -141 1/2 2os(t/6) 4 cos(t/3) 10 83t 5 cos (t/6)-3 -5 sin rt2/3) 1/2 5 sin2(xt/6) 5 cos(rt2/3) -2t-2 412 13 14 4 cos(xt/3) 3sin(rt/3) 16 3t 1/2...
question 4 Sp2019 M251.001, 002, 005 Quiz 5, 1st Submission date: Mon March 18, in Class NAME/Section 3t3-2t, if 0 < t < 7, if t> 7 1. (1 point) Set: f(t)- Prove or disprove that the Laplace transform F(s)-f(t) is . /18 126 542 1083 32 18 2 2. (1 point) Suppose that L{f(t)}-F(s). Check that 3. (1 point) Find the inverse Laplace transform S3-482 4. (.5 point for each) T or F: (AF(s) 5F5 (B) L-1 F(s) +...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...