Math Quiz: Take The Limits And Continuity Assessment Test
10 Questions
| Total Attempts: 109
A limit is a number that a function approaches as the autonomous variable of the function approaches a given value. Take this assessment test to evaluate your insight.
Questions and Answers
- 1.Evaluate the limit ( x – 4 ) / (x2 – x – 12) as x approaches 4.
- A.
0
- B.
Infinity
- C.
1/7
- D.
Undefined
- 2.Differentiate the equation y = x2 / (x +1).
- A.
2x
- B.
(x2 + 2x) / (x + 1)2
- C.
x / (x + 1)
- D.
(2×2) / (x + 1)
- 3.Evaluate the limit (1n x ) / x as x approaches positive infinity.
- A.
1
- B.
0
- C.
E
- D.
Infinity
- 4.Differentiate (x2 + 2)1/2.
- A.
(x2 + 2)1/2) / 2
- B.
x / (x2 + 2)1/2
- C.
(2x) / (x2 + 2)1/2
- D.
(x2 + 2)3/2
- 5.Locate the points of inflection of the curve y = f(x) = x2 ex.
- A.
-2 ± √2
- B.
2 ± √2
- C.
2 ± √3
- D.
2 ± √3
- 6.Differentiate y = sec (x2 + 2).
- A.
2x cos (x2 + 2)
- B.
–cos (x2 + 2) cot (x2 + 2)
- C.
2x sec (x2 + 2) tan (x2 + 2)
- D.
Cos (x2 +2)
- 7.If y=xsinx, find dx/dy.
- A.
Sinx - cosx
- B.
Cosx - xsinx
- C.
Cosx + xsinx
- D.
Sinx + xcox
- 8.A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?
- A.
y=3/2x2 + 2x
- B.
Y=3/2x2 + x
- C.
Y=3x2 + x/2
- D.
y=3x2 + 2x
- 9.Find dy/dx if y = 52x-1.
- A.
52x-1 ln 5
- B.
52x-1 ln 25
- C.
52x-1 ln 10
- D.
52x-1 ln 2
- 10.Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are equal.
- A.
(4,4)
- B.
(2, 1)
- C.
(1,2)
- D.
(-1, 4)
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