5. Consider the equation ₁ + x2 + x3 = 18, where 21, 22, and 3 are integers. How manysolutions are there(a) if #1, #2, #3 ≥ 0?(b) if 21, 22, 23 ≥ 1?(c) if 0 ≤ ₁ ≤ 3, ₂ ≥ 0, 3 ≥ 0?

This question from number theory.

Answered: 5. Consider the equation x₁ + x₂ + x3 =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. Select all expressions that are equivalent to x-4-32 A (x-16*x+2x 8.(x+2*x-16) -CH-S*X+4) D.(x+8xx-4) E (x+4*x-8) Etx-4*x+8) 3. Select all solutions to the equation (2x - 4x + 5) = 0 A1=-= 8x== Cx=22 0.x = 2 b) Sections with are optional Ex = -5 F.x=3 4. Show that (3x - 1Xxx + 5) is equivalent to 3x² + 14x-5 height (feet) E60302 SU 10 5. The height of a sortbail in feet, is modeled by the function is given by h(ty = 3+55:- 16r, where is the time, in seconds, after the softball is hit. A graph of the function is shown. time (seconds) a. About when does the softball reach its maximum height? b. About how high is the maximum height of the softball? 6 Here is a graph that represents a quadratic function which equation could de this function? About when does the ball hit the ground? Ax=(x-2*x + 3) 8.y=(x-2x-3) V x=(x+26x31 D. x = (x + 2x-3) 7. Salve the equation 2x - 7x-15 = 0 Explain or show your work 8. Complete the long division problem to find the quotient of 1,651 and 13 1 13
Remember your integer ruies! Selving Equations (two step problems-contains negatives) Solve for x in each problem. 1.) 3x - 1 = - 13 2.) 2 + 6x = 32 x--4 X-5 3.) 6x + 1 = 7 4.) 5-3x = 8 5.) 4x + 3 = 47 6.) 2x + 3 = 3 7.) -6x - 7 = 73 8.) 5-2x = 5 9.) 74 4x 47 10.) 7x- 2= 47 11.) -7x + 1 --55 12.) 4-62
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5. Consider the equation x₁ + x₂ + x3 = 18, where 2₁, 22, and 23 are integers. How many solutions are there (a) if #1, #2, 3 ≥ 0? (b) if 21, 22, 232≥ 1? (c) if 0 ≤ ₁ ≤ 3, x₂ ≥ 0, #3 ≥ 0?