1.23 Let a, b c and d be real numbers. Show that ab-cd= b(a-c)+c(b-d),and deduce thatlab-cd|≤|b||ac| + |c||b — d|.Let E, K and L be positive real numbers, and suppose that |b|< K,|c|

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Answered: Let a, b c and d be real numbers. Show…

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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Use a graph to find a number o such that √4x+1-3/<0.5 whenever I-21<6.
Please solve
Solve | 3-x| 2 5. A. The set of real numbers B. Ø OC. {x|x28 or xs-2} O D. {x|x>8 or x<-2} O E. {x|-2
Let Q denote the set of rational numbers. Show that card(Q)=x0. What is card(R/Q)?
Which is the best list of possible zeros of the function fx) = x +x – 13x- 6? a) ±1, ±2, ±3, ±6 b) +1, ±2, ±3 c) 0, ±1, ±2, ±3 O d) 1, 2, 3, 6
7) In recent years, many states have passed laws against smoking in public buildings. The total number of states N that have passed a no smoking in public buildings law, t years after 1985 is given by the function N(t) 50 1+19e-0.4t How many states had passed the law in 1985? A) 1.25 B) 0.25 C) 2.5 D) 0
6) Evaluate f 6x+3 -dp- x3+3x
10. Find the zeros of each relation. a) y=x²-16x +48 b) y=-3x² + 12x +63
2. B = {1+x,1+x²,x+x²} and x = 6 + 3x − x². Find [x]B.
If x is even and y is odd, show that (x +y)? is odd.
it is a less than 1 not a bigger than one
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Let a, b c and d be real numbers. Show that ab-cd = b(a-c)+c(b-d), and deduce that |ab - cd| ≤ |b||ac|+|c||bd|. Let E, K and L be positive real numbers, and suppose that |b|< K, |c| < L, \a-c| < €/ (2K), |bd| < €/(2L). Deduce that lab-cd| < €.