- 7-3.1: Sweepstakes I: You have just won a national sweepstakes! Your award...
- 7-3.Q1: If dy/dx = ky , then y = ?.
- 7-3.2: . Sweepstakes II: Youve won a national sweepstakes that will give y...
- 7-3.Q2: If dy/dx = kx, then y = ?.
- 7-3.3: Electrical Circuit Problem: When you turn on the switch in an elect...
- 7-3.Q3: If dy/dx = k, then y = ?.
- 7-3.4: Newtons Law of Cooling Problem: When you turn on an electric heater...
- 7-3.Q4: If dy/dx = sin x, then y = ?.
- 7-3.5: Hot Tub Problem: Figure 7-3k shows a cylindrical hot tub 8 ft in di...
- 7-3.Q5: If y = sin1 x, then dy/dx= ?.
- 7-3.6: Burette Experiment: In this problem you will simulate and Example 1...
- 7-3.Q6: ln (e5cos x ) = ?.
- 7-3.Q7: eln tan x = ?.
- 7-3.7: Differential Equation Generalization Problem: The solutions of dy/d...
- 7-3.Q8: Sketch the graph of y (Figure 7-3f ) if y(1) = 0. Figure 7-3f
- 7-3.8: Advertising Project: A company that makes soft drinks introduces a ...
- 7-3.Q9: What does it mean for f to be integrable on [a, b]?
- 7-3.9: Water Heater Project: You have been hired by a water-heater manufac...
- 7-3.Q10: If v(t) dt = 17 and v(t) dt = 33, then v(t) dt = ?. A. 33 + 17 B. 3...
- 7-3.10: Vapor Pressure Project: The vapor pressure, P, in millimeters of me...
Solutions for Chapter 7-3: Other Differential Equations for Real-World Applications
Full solutions for Calculus: Concepts and Applications | 2nd Edition
Solutions for Chapter 7-3: Other Differential Equations for Real-World ApplicationsGet Full Solutions
See Inverse sine function.
Combinations of n objects taken r at a time
There are nCr = n! r!1n - r2! such combinations,
Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)
An angle formed by two intersecting planes,
See Polar coordinates.
Sum of a finite number of terms.
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).
Identity involving a trigonometric function of u/2.
See Complex plane.
See Linear regression line.
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.
Line of travel
The path along which an object travels
The line segment through the foci of an ellipse with endpoints on the ellipse
Mean (of a set of data)
The sum of all the data divided by the total number of items
Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2
Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i
One-to-one rule of logarithms
x = y if and only if logb x = logb y.
See Elementary row operations.
Spiral of Archimedes
The graph of the polar curve.
Usually the third dimension in Cartesian space.