3. The vertex of y = -3x2 + 6x-5 is a. (1, -2) b. (1, 1) C. (-1, 1) d. (-1, -2) 4. Given f(x) = x? - 4x + 5, if f(a) =1, what is the value of a? а. 5 b. 3 С. d. 1

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
3. The vertex of y = -3x² + 6x -5 is
а. (1,-2)
b. (1, 1)
C. (-1, 1)
d. (-1, -2)
4. Given f(x) = x² – 4x + 5, if f(a) =1, what is the value of a?
а. 5
b. 3
С. 2
d. 1
5. Which is the correct equation when y = 5* is translated 4 units down and 3 units left?
a. Y = 5x*4-3
b. Y= 5*-4 -3
C. Y = 5*+3 - 4
d. Y = 5x-3 - 4
6. Which is correct about exponential functions?
a. The ratio of successive first differences is constant.
b. The first differences are constant.
С.
The first differences are zero.
d. The second differences are constant.
7. A bacterial colony with an initial population of 120 triples every day. Which equation models this exponential
growth?
a. P 3 X 120"
b. P 120 X 3"
P = 120 X 3n
d. P= 120 X 2"
8. What is the formula for the general term of an arithmetic sequence with a = 5 and d = 3?
С.
a.
Tn = 8+5n
b. Tn 2 +3n
C. Tn 8+3n
d. Tn = 5n- 2
Transcribed Image Text:3. The vertex of y = -3x² + 6x -5 is а. (1,-2) b. (1, 1) C. (-1, 1) d. (-1, -2) 4. Given f(x) = x² – 4x + 5, if f(a) =1, what is the value of a? а. 5 b. 3 С. 2 d. 1 5. Which is the correct equation when y = 5* is translated 4 units down and 3 units left? a. Y = 5x*4-3 b. Y= 5*-4 -3 C. Y = 5*+3 - 4 d. Y = 5x-3 - 4 6. Which is correct about exponential functions? a. The ratio of successive first differences is constant. b. The first differences are constant. С. The first differences are zero. d. The second differences are constant. 7. A bacterial colony with an initial population of 120 triples every day. Which equation models this exponential growth? a. P 3 X 120" b. P 120 X 3" P = 120 X 3n d. P= 120 X 2" 8. What is the formula for the general term of an arithmetic sequence with a = 5 and d = 3? С. a. Tn = 8+5n b. Tn 2 +3n C. Tn 8+3n d. Tn = 5n- 2
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