MAE101_SU26_RE_530467

MAE101 SU26 FE RE Questions 1 to 5

This document contains a set of multiple-choice questions from the MAE101 course exam, covering topics such as function composition, linear equations, limits, continuity of piecewise functions, and difference quotients. Each question provides several options with a marked correct answer, serving as a useful review resource for students preparing for examinations.

MAE101 SU26 FE RE Questions 1 to 5

MAE101_SU26_RE_530467 | Multiple Choice

Question 1
(Choose 1 answer)
If f(x) = x+2 and h(x) = 2x+3, find g(x) such that f(g(x)) = h(x).
A. 2x+1
B. 2x-1
C. 2x+5
D. 2x-5
E. None of the other choices is correct
Đáp án: A

MAE101_SU26_RE_530467 | Multiple Choice

Question 2
(Choose 1 answer)
Let (L) be the line passing through (1, -1) with slope -1/2. Which of the following points lies in (L)?
A. (-2, 1/2)
B. (-2, -3/2)
C. (2, 1)
D. (2, 0)
E. None of the other choices is correct
Đáp án: A

MAE101_SU26_RE_530467 | Multiple Choice

Question 3
(Choose 1 answer)
(See picture)
Evaluate the limit, if it exists
lim (x->0) (sin^2(2x)) / (sin(x) sin(4x))
A. -1
B. 1
C. -2
D. 2
E. 0
F. None of the other choices is correct
Đáp án: B

MAE101_SU26_RE_530467 | Multiple Choice

Question 4
(Choose 1 answer)
(See picture)
Find c so that the function is continuous on R
f(x) = (x^2 - 1) / (sqrt(x^2 + 2x + 1)) if x < -1
f(x) = 2x + c if x >= -1
A. 4
B. 3
C. 2
D. 1
E. None of the other choices is correct
Đáp án: A

MAE101_SU26_RE_530467 | Multiple Choice

Question 5
(Choose 1 answer)
(See picture)
Simplify the quotient (f(x+h) - f(x)) / h for f(x) = 1/x
(i) -1 / ((x - h)x)
(ii) 1 / ((x + h)x)
(iii) -1 / ((x + h)x)
(iv) -1 / ((x + h)(x - h))
A. (i)
B. (ii)
C. (iii)
D. (iv)
E. None of the other choices is correct
Đáp án: C

MAE101 SU26 FE RE Questions 1 to 5​

MAE101 SU26 FE RE Questions 1 to 5​

MAE101 SU26 FE RE Questions 1 to 5

MAE101 SU26 FE RE Questions 1 to 5

Đang tải dữ liệu

Đang tải dữ liệu

Đang tải dữ liệu