Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 3, Problem 6A
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4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves
to each of the given initial value problems.
(a)
x = x+2y
1111
y = -3x+y
with x(0) = 1, y(0) = -1
(b) Consider the initial value problem corresponding to the given phase portrait.
x = y
y' = 3x + 2y
Draw two "straight line solutions"
passing through (0,0)
(c) Make guesses for the equations of the straight line solutions: y = ax.
It was homework
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Chapter 3 Solutions
Mathematics for Machine Technology
Ch. 3 - Determine the least common denominator of 23,58,...Ch. 3 - Express 14,56, and 712as equivalent fractions...Ch. 3 - Express 298 as a mixed number.Ch. 3 - Express the mixed number 516as an improper...Ch. 3 - Add 512+34+16 .Ch. 3 - Add 238+134+513 .Ch. 3 - Prob. 7ACh. 3 - Prob. 8ACh. 3 - Determine dimensions A, B, C, D, E, and F of the...Ch. 3 - Determine dimensions A, B, C, D, E, F, and G of...
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- 18) Find all the complex cube roots of -2i. Leave your answers in polar form with the argument in degrees.arrow_forward9) Write an equation for the hyperbola. 2+ -6-5-4-3-2 -2- -4- -5+ + 23 45 6xarrow_forward8) Find an equation for the hyperbola with vertices at vertices at (±7, 0) and foci at (±9, 0).arrow_forward
- 3) Find an equation for the parabola with a vertex at (1, 2) and focus at (1, 4). A) (x - 1)² = 8(y-2) C) (x - 1)² = -8(y - 2) B) (y - 2)² = -12(x − 1) - D) (y - 2)² = 12(x-1)arrow_forward2) Graph the equation. y² = 12x 5 10 -10 -5 5 + 10 xarrow_forward15) Solve the triangles if possible. B = 11°, b = 15.5, a = 40.62arrow_forward
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