3. Determine if the given is a plain mathematical expression (ME) or a mathematicalsentence (MS) then translate into words.a. √√(x-4) ≥ y² + 2b. b² + (b + 2)² + (b + 4)²3

Given Data: To Determine if the given is a plain mathematical expression (ME) or a mathematical…

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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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7. The vertex of y = - 2(x - 14)(x + 22) is %3D a. (-4, 648) b. (36, 2252) c. (4, 648) d. (-4, 324)
1.If the volume of a box is represented by the expression (x3 - 3x2 -10x + 24) cm3 and the width is (x - 2) cm. What are the other dimensions? A. (x + 3) (x - 4) B. (x - 3) (x - 4) C. (x - 3) (x + 4) D. (x + 3) (x + 4) 2.One of the roots of -5x2(x3 + 2x - 7) is 0. How many other roots are there? A. 3 B. 4 C. 5 D. 6 3.Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) = (x – 1) (x + 2) (x – 3) C. 2 (x + 1) (x + 2) (x + 3) D. 2 (x - 1) (x - 2) (x - 3) 4.Which of the following polynomial equations has 2 as one of the roots? A. x2 – 5x + 8 = 0 B. 4x3 – 9x2 - 3x = 0 C. 4x4 + 8x3 - 39x2 = 0 D. x3 + 6x2 – 16x = 0 5.The polynomial equation whose roots are {-1, - ½ and 3} is _______ A. 2x3 – 3x2 – 8x – 3 = 0 B. x3 - 6x2 – x – 3 = 0 C. 2x3 + 3x2 – 5x – 3 = 0 D. 2x3 + 3x2 + x – 15 = 0
b. Evaluate √ (3x − 2) 2 I
C. Simplify after removing all symbols in grouping 16. 3x-[[7y-5(8x-2y+3z)-11x) 17. 7(a-2b +5c)-[8a-(6b-3(4a-b+ -6y-z] 3c)) - 9a] 18. 2[3m²-(2m+8)-(7m² +5(m-7) - 10) + 9m²) + 2q)]] 19. 9(2p-5q) + [3p-(79-4(3p-q-óp 20. 3(52²-22-8)-[(9z+11-z(4+ 5z)) -10]
Without a calculator. 4*= (√16) ²*³ = (2√5)². Work out the value of 12x-64. Please SHARE your method.
b. Evaluate √ (3x − 2) 2 I
Which of the following would represent an odd number? (A) 2x (B) 3x (C) 2x + 2 (D) 2x + 1 O A C Determine the next term in the pattern { 5, 10, 20,). (A) 40 (B) 30 (C) 25 (D) 50 A C D. Examining this pattern, which equation would be next In the pattern? 37 x 3 - 111 37 x 6 = 222 37 x 9 - 333 37 x 12 = 444 37 x 13- 555 (B) 37 x 15 -555 (C) 37 x 18- 666 (D) 37 x 30-1110 B D OO
A. Read the statements below and write before each item True if the statement is true and write False if otherwise. 25x + 2 is an expression. x > 10 is a sentence. Division and multiplication are of equal importance and should be applied from left to right when performing mathematical operations.
Write an equivalent expression to x - 9y+ 2. Choose the correct answer below. O A. x-9y +2= 2(x- 9y+ 1) O B. x-9y + 2 = x – ( – 9y) + 2 O C. x-9y + 2 = x +2 + (- 9y) OD. x- 9y + 2 = x + 2 + 9y
Draw a picture for the expression. Write a new equivalent expression without brackets. a) 2(x + 4) AO000 AO000 b) 3(2x + 3) c) 2(3x+1) d) 2(3x + 3) 2x + 8 Ee 2(4x+ 3) f) 3(x + 5) g) 5(2x + 3) h) 4(3x + 1)
9. If x -6, 0, or 1, the expression IS X+5x6x equivalent to: A D (16)(r-1) T-1 Save/Exit

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3. Determine if the given is a plain mathematical expression (ME) or a mathematical sentence (MS) then translate into words. a. √√(x-4) ≥ y² + 2 b. b²+ (b + 2)² + (b + 4)²