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- 1. Multiple Choice
What is the limit?
ONE
Infinity
6
12
- 2. Multiple ChoiceDoes Not Exist910
- 3. Multiple Choice631/6-1/6
- 4. Multiple ChoiceFind the value that will make the following continuous-3-2-1c=0
- 5. Multiple Choice
What is the limit?
ONE
2/3
1/4
∞
- 6. Multiple Choice
limx→0 sin(6x) ∕ sin(2x)
1/3
3
1
DNE
- 7. Multiple Choice
Which of the following best describes the continuity at x = -3?
Continuous
Removable Point Discontinuity
Infinite Discontinuity
Jump Discontinuity
- 8. Multiple Choice
Which of the following best describes the continuity at x = -4?
Continuous
Removable Point Discontinuity
Infinite Discontinuity
Jump Discontinuity
- 9. Multiple ChoiceIf f(x) is continuous at interval [a,b], and f(a) is positive and f(b) is negative, then f(c)=0, where c is include in [a,b].TrueFalse
- 10. Multiple ChoiceLet f be a function that is continuous on the interval (1, 10). If f(2) = -5 , f(5) = 5 and f(9) = -5, which must be true?
I. f(x) has a least 2 zeros
II. For some c, 2 < c < 9, f(c) = 3
III. The graph of f(x) has a horizontal tangentI. onlyI. and II.I. , II. and III.II. and III. - 11. Fill in the Blank
Is every continuous function always diffrentiable
- 12. Multiple Choice
FInd the derivative:
f(x) = (-2/3)x3 - (1/2)x2 + 9x
-2x2 - x + 9
-2x2 + x + 9
2x2 - x + 9
2x2 - x - 9
- 13. Multiple ChoiceFind the second derivative of the function:
f (x) = 2x - 5x6f ''(x)= 2 - 30xf ''(x) = 2-30x5f ''(x) = -30x5f ''(x) = -150x4 - 14. Multiple ChoiceSet up the derivative of y=(3x4 - 7)*(5x2 + 1)(12x3)*(10x)(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)
- Answer choicesTagsAnswer choicesTags