Answered: - If log₂ (x) + logo.25(x) = 1, then x…

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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please solve question please sir solve 3 and 4 only

Transcribed Image Text:1. The domain of the function f(x) = ln(2-√√x) is: A) (-∞0, 4). B) (-∞0, 4]. C) [0,4). D) (0, 4]. E) (-∞0,00). 2. Suppose that the graph of f is given. Then the graph of y = f(x - 2) - 2 is obtained by shifting the graph of f A) 2 units right then 2 units up. D) 2 units left then 2 units down. E) None of the above. 3. If log₂ (x) + logo.25(x) = 1, then x = A) 0 or 2. B) 0 or 4. s-¹ (cos ¹) = 4. cos-1 3ex-e-x 6. lim x--∞ 3e*+5e-* A) ---- A). C) 5. Which of the following curves has vertical asymptote? A) y = √x. B) y = sin-¹ x. C) y = tan x. = cos2 (y+z)-cos2 y z 7. lim Z-0 A) cos² y. B) 2 units right then 2 units down. C) 2 units left then 2 units up. 2π B) C) 2 only. B) 2 sin y cos y. C) ---- NA C) 2 cos y. D) 4 only. 10. If f(x) = e²x - 3sinh x+m², then f' (In 3) = A) 13. B) 18. C) 23. D) ST D) y = e*. D) 1. D) - sin(2y). E) e² only. D) -18. E) y = cosh x. E) 0. 8. If 3x + 2y = 5 is the normal line to f(x) at x = 1, then f'(1) = A) 5. B)-3/2. C) 3/2. D) -2/3. E) 2/3. 9. An equation of the tangent line to the curve x cos(2y) = y sin (2x) at the point (1,7) is: A) y = x + 1/2 B) y = x + 7/ C) y = // D) y = --- E) y = -x. E) cos(2y). E) 5.

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