Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 8, Problem 13P
Repeat problem P8-12 if
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7. The demand for a product, in dollars, is
p = D(x) = 1000 -0.5 -0.0002x²
1
Find the consumer surplus when the sales level is 200.
[Hints: Let pm be the market price when xm units of product are sold. Then the consumer
surplus can be calculated by foam (D(x) — pm) dx]
4. Find the general solution and the definite solution for the following differential equations:
(a)
+10y=15, y(0) = 0;
(b) 2 + 4y = 6, y(0) =
5. Find the solution to each of the following by using an appropriate formula developed in the
lecture slides:
(a) + 3y = 2, y(0) = 4;
(b) dy - 7y = 7, y(0) = 7;
(c) 3d+6y= 5, y(0) = 0
Chapter 8 Solutions
Introductory Mathematics for Engineering Applications
Ch. 8 - A model rocket is fired horn the roof of a 50 ft...Ch. 8 - Repeat problem P8-1 if H=15m, v(0)=49m/s and...Ch. 8 - The height in the vertical plane of a ball thrown...Ch. 8 - Repeat problem P8-3 if v(0)=161ft/s and...Ch. 8 - The motion of a particle moving in the horizontal...Ch. 8 - The motion of a particle moving in the horizontal...Ch. 8 - The motion of a particle in the vertical plane is...Ch. 8 - The motion of a particle in the vertical plane is...Ch. 8 - The voltage mass an inductor is given by...Ch. 8 - Repeat problem P8-9 if L=0.125H and i(t)=t2etA.
Ch. 8 - The voltage across the inductor of Fig. P8.9 is...Ch. 8 - The current flowing through a capacitor shown in...Ch. 8 - Repeat problem P8-12 if C=40F and...Ch. 8 - The current flowing through the capacitor shown in...Ch. 8 - A vehicle starts from rest at position x = 0. The...Ch. 8 - At time t=0, a vehicle located at position x=0 is...Ch. 8 - At time t=0, a moving vehicle is located at...Ch. 8 - A vehicle starling from rest at position x=0 is...Ch. 8 - A vehicle starting from rest at position x=0 is...Ch. 8 - A vehicle starling from rest at position x=0 is...Ch. 8 - The voltage across the inductor is given by...Ch. 8 - The voltage across the inductor is given in Fig....Ch. 8 - The voltage across the inductor is given in Fig....Ch. 8 - The current applied to a capacitor is given in...Ch. 8 - The current flowing through a capacitor is given...Ch. 8 - The current flowing through a 500F capacitor is...Ch. 8 - A simply supported beam is subjected to a load P...Ch. 8 - A simply supported beam is subjected to a load P...Ch. 8 - A simply supported beam is subjected to an applied...Ch. 8 - A simply supported beam is subjected to a...Ch. 8 - Consider a beam under a linear distributed load...Ch. 8 - A fixed-fixed beam ¡s subjected to a sinusoidal...Ch. 8 - Consider the buckling of a pinned-pinned column...Ch. 8 - Consider the buckling of a pinned-fixed column...Ch. 8 - Consider a beam under a uniform distributed load...Ch. 8 - A cantilever beam is pinned at the end x=L, and...Ch. 8 - Consider a shaft subjected to an applied torque T,...Ch. 8 - The velocity of a skydiver jumping from a height...Ch. 8 - A proposed highway traverses a hill-top bounded by...
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