-dA dV dp 1. It shows that the behavior of fluid is A From the equation stated, show the formula + for mass flow rate AVp = c. 2. A ball is dropped from a 20-foot building with a constant acceleration due to gravity of 9.8m/s². Show the particular solution of s(t). From the initial point(t=0): S=20 ft V=0 dx 3. S Vx(x+1) 4. From the Fourier-Legendre expansion f(x)Pn(x) dx = Em=o Am , Pm(x)Pn dx, all terms 2n+1 will vanish except at n=m. Solve for A,, A1 and A2 if An Lf(x) Pn(x)dx. 2 Po = 1 P1 = x P2 =5(3x² – 1) f(x) = x ら dx 5. /2+ x/3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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QUESTION NUMBER 2

dV
+
V
-dA
1. It shows that the behavior of fluid is
A
From the equation stated, show the formula
for mass flow rate AVp = c.
2. A ball is dropped from a 20-foot building with a constant acceleration due to gravity of 9.8m/s².
Show the particular solution of s(t).
From the initial point(t=0):
S=20 ft
V=0
dx
3. J Jx(x+1)
4. From the Fourier-Legendre expansion , f(x)Pn(x) dx = Em=o Am L, Pm(x)Pn dx, all terms
2n+1
Lf(x) Pn (x)dx.
will vanish except at n=m. Solve for Ao, A, and A, if An
2
= 1
°d
P1 = x
1
-(3х2 — 1)
= -
P2
2
f (x) = x
dx
5.
2 + x
Transcribed Image Text:dV + V -dA 1. It shows that the behavior of fluid is A From the equation stated, show the formula for mass flow rate AVp = c. 2. A ball is dropped from a 20-foot building with a constant acceleration due to gravity of 9.8m/s². Show the particular solution of s(t). From the initial point(t=0): S=20 ft V=0 dx 3. J Jx(x+1) 4. From the Fourier-Legendre expansion , f(x)Pn(x) dx = Em=o Am L, Pm(x)Pn dx, all terms 2n+1 Lf(x) Pn (x)dx. will vanish except at n=m. Solve for Ao, A, and A, if An 2 = 1 °d P1 = x 1 -(3х2 — 1) = - P2 2 f (x) = x dx 5. 2 + x
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