Download MATH 041 Exam II Sample A: Solving Mathematical Problems and more Exams Analytical Geometry and Calculus in PDF only on Docsity!
- Determine the graph of the function f (x) = x(x + 3)^2 (x โ 3)^3.
a)
b)
c)
d)
- Evaluate the following xlimโโโ x^2 x+ 2^2 + 3x + 1
a) โ b) โโ c) 0 d) 1
- Find the remainder upon dividing the polynomial 3x^3 โ 12 x^2 โ 9 x+ by x โ 5
a) 29 b) 31 c) 3 x + 6 d) x + 31
- Which of the following is a factor of x^3 โ 3 x^2 + 3x โ 1?
a) x + 1 b) x^2 + 1 c) x โ 1 d) 2 x + 1
- Find the vertical asymptote(s) of the function f (x) =^3 x
(^2) โ 6 x โ 9 (x โ 1)^2 a) There are no vertical asymptotes b) x = โ1, x = 3 c) x = 0,x = 1 d) x = 1
- Find the horizontal asymptote of the function f (x) =^3 x(^2 x^ โ โ^6 1)x^ โ 2 9
a) There are no horizontal asymptotes b) y = 3 c) y = 2 d) y = 0
- Find the intercepts of the function f (x) =^3 x
(^2) โ 6 x โ 9 (x โ 1)^2 a) There are no intercepts b) y = โ 9 , x = โ 1 , 3 c) y = 3, x = 1 d) No y-intercepts, x = 0, 1 / 2
- Which of the following is the graph of the function f (x) =^3 x^2 (x^ โ โ^6 1)x^ โ 2 9? (Hint: use 5-7)
a)
b)
c)
d)
- As x โ ยฑโ the function f (x) = 3 x^3 + 2 x 2 x (^2) + 1^ +^ x^ + 1behaves like the function
a) y = 3x + 2 b) y = 3x^2 + 2 c) y = x^2 d) y = 2x + 3
- Match the graph to the function
a) y = 5โx b) y = 5xโ^3 c) y = 5x^ + 3 d) y = 5x^ + 4
- Expand the expression log(
x
yโz)
a) 1 /8 log(xyz) b) 1 /2 log(x) + 1/2 log(y) + 1/2 log(z) c) 1 /2 log(x) + 1/4 log(y) + 1/8 log(z) d) 1 /8 log(x) + 1/8 log(y) + 1/8 log(z)
- Simplify the expression 4 log(x) โ 1 /3 log(x^2 + 1) + 2 log(x โ 1)
a) log
x^4 โ (x^2 + 1)^1 /^3 + (x โ 1)
b) log
( (^) x (^4) (x โ 1) 2 โ (^3) x (^2) + 1
c) log(4x โ 1 /3(x^2 + 1) + 2(x โ 1)) d) log
x^4 (x โ 1)^2 โ^3 x^2 + 1
- Solve the equation e^2 x^ โ ex^ โ 6 = 0
a) x = ln(3) b) x = 3, โ 2 c) x = ln(3), ln(โ2) d) x = ln(6)
- Solve the equation ln(x + 2) + ln(x โ 2) = 0
a) x = ยฑโ 5 b) x = ยฑโ 4 c) x = โ 5 d) x = โ 4
- Convert^34 ฯ to degrees
a) 270 โฆ b) 135 โฆ c) 67. 5 โฆ d) 180 โฆ
- Find the area of the following circular sector
0.5 1.
(note the radius is 2 and the angle is 30โฆ).
a) ฯ/ 3 b) 120 c) ฯ/ 6 d) 1 / 6
Find the length of the circular arc 0.5^ 1.0^ 1.5^ 2.
(note, the radius is 3 and the angle is ฯ/4).
a) 270 b) 3 ฯ/ 4 c) 9 ฯ/ 8 d) 3 ฯ/ 2
EXAM II- SAMPLE A
1. D 2. D 3. B 4. C 5. D 6. B 7. B 8. D 9. A 10. C 11. C 12. A
13. C 14. C 15. B 16. A 17. C 18. B 19. A 20. B
