[B] Consider the equation x1 + x2 + x3 = 25 where a1, x2, a3 E Z. 2/5 (B.1) How many solutions are there to this equation satisfying: x1 2 2, x2 2 0, and a3 > 5? (B.2) How many solutions are there to this equation if r1 and r2 are nonnegative integers, and a3 2 -6? [C] For each expression below, find the COEFFICIENT of the y9 term when the expression is expanded by the binomial theorem. Note, you do not have to multiply them out (please don't!). Your coefficient should be written as a simplified integer. (C.1) (2x – y)17 Answer: (C.2) (3r² + 2y³)"
[B] Consider the equation x1 + x2 + x3 = 25 where a1, x2, a3 E Z. 2/5 (B.1) How many solutions are there to this equation satisfying: x1 2 2, x2 2 0, and a3 > 5? (B.2) How many solutions are there to this equation if r1 and r2 are nonnegative integers, and a3 2 -6? [C] For each expression below, find the COEFFICIENT of the y9 term when the expression is expanded by the binomial theorem. Note, you do not have to multiply them out (please don't!). Your coefficient should be written as a simplified integer. (C.1) (2x – y)17 Answer: (C.2) (3r² + 2y³)"
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![[B] Consider the equation
x1 + x2 + x3 = 25
where x1, x2, X3 € Z.
2/5
(B.1) How many solutions are there to this equation satisfying:
x1 2 2, x2 > 0, and x3 2 5?
(B.2) How many solutions are there to this equation if x1 and x2 are nonnegative integers,
and x3 > -6?
[C] For each expression below, find the COEFFICIENT of the 8y9 term when the
expression is expanded by the binomial theorem. Note, you do not have to multiply
them out (please don't!). Your coefficient should be written as a simplified integer.
(C.1) (2x – y)17
Answer:
(C.2) (3r² + 2y³)7
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6513db26-79cd-42e4-9371-d6e2b153317b%2Fa221ac4d-5a61-4ee2-ac22-5d03af7dc764%2Fxktqs1l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[B] Consider the equation
x1 + x2 + x3 = 25
where x1, x2, X3 € Z.
2/5
(B.1) How many solutions are there to this equation satisfying:
x1 2 2, x2 > 0, and x3 2 5?
(B.2) How many solutions are there to this equation if x1 and x2 are nonnegative integers,
and x3 > -6?
[C] For each expression below, find the COEFFICIENT of the 8y9 term when the
expression is expanded by the binomial theorem. Note, you do not have to multiply
them out (please don't!). Your coefficient should be written as a simplified integer.
(C.1) (2x – y)17
Answer:
(C.2) (3r² + 2y³)7
Answer:
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