MTH102: Elementary Mathematics Ii TMA2

Question 1 : Evaluate the limitlimx→−∞x2−5t−92×4+3×3
A. 4
B. 0
C. 2
D. 1
Answer to question 1 is A. 4
Question 2 : Evaluate the limitlimx→∞6e4x−e−2x8e4x−e2x+3e−x
A.35
B.14
C.34
D.12
Answer to question 2 is C. 3/4
Question 3 : Evaluate the limitlimh→02(−3+h)2−18h
A. 6
B. 14
C. 12
D. 8
Answer to question 3 is C. 12
Question 4 : Find the derivative f(x)=2×2−16x+35 by using first principle
A.x+16
B.2x−8
C.3x−5
D.4x−16
Answer to question 4 is D.4x−16
Question 5 : Find the derivative f(x)=2×2−16x+35 by using first principle
A.3x−5
B.4x−16
C.x+16
D.2x−8
Answer to question 5 is B.4x−16
Question 6 : Evaluate the limitlimt→4t−√(3+4)4−t
A.−58
B.−38
C.34
D.−18
Answer to question 6 is B. -3/8

Question 7 : Differentiate y=3√(x2)(2x−x2) with respect to x
A.y=5×233+4×533
B.y=5×233−4×533
C.y=10×233−8×533
D.y=10×233+8×533
Answer to question 5 is B.y=5×233−4×533
Question 8 : Evaluate the limitlimt→4t−√(3+4)4−t
A.34
B.−18
C.−38
D.−58
Answer to question 8 is C. -3/8
Question 9 : Given y(x)=x4−4×3+3×2−5x, evaluated4ydx4
A. 22
B. 42
C. 30
D. 24
Answer to question 9 is D. 24
Question 10 : Differentiate with respect to x:f(x)=(ax3+bx)
A.ax2+b
B.3a−b
C.3ax2+b
D.3×2+1
Answer to question 10 is C.3ax2+b
Question 11 : Evaluate the limitlimx→∞2×4−x2+8x−5×4+7
A.13
B.34
C.12
D.23
Answer to question 10 is C. 1/2
Question 12 : Differentiate y=3√(x2)(2x−x2) with respect to x
A.y=5×233−4×533
B.y=5×233+4×533
C.y=10×233−8×533
D.y=10×233+8×533
Answer to question 12 is B.y=5×233+4×533

Question 13 : Given2x5+x2−5t2, find dydx by using the first principle
A.6t2+10t−3
B. c−t−2+8t−3
C.t2+5t−3
D.6t+7t−3
Answer to question 12 is A.6t2+10t−3
Question 14 : Evaluate the limitlimh→02(−3+h)2−18h
A. 8
B. 14
C. 12
D. 6
Answer to question 12 is C. 12
Question 15 : Evaluate the limitlimx→∞6e4x−e−2x8e4x−e2x+3e−x
A.35
B.34
C.12
D.14
Answer to question 15 is C. 1/2
Question 16 : Giveny(x)=x4−4×3+3×2−5x, evaluated4ydx4
A. 24
B. 22
C. 42
D. 30
Answer to question 16 is A. 24
Question 17 : Given2x5+x2−5t22x5+x2−5t2, finddydx by using the first principle
A.6t+7t−3
B.6t2+10t−3
C.t2+5t−3
D. c−t−2+8t−3
Answer to question 17 is B.6t2+10t−3
Question 18 : Differentiate with respect to x:f(x)=(ax3+bx)
A.ax2+b
B.3×2+1
C.3ax2+b
D.3a−b
Answer to question 18 C.3ax2+b

Question 19 : Evaluate the limitlimx→∞2×4−x2+8x−5×4+7
A.34
B.23
C.13
D.12
Answer to question 18 D. 1/2
Question 20 : Evaluate the limitlimx→−∞x2−5t−92×4+3×3
A. 4
B. 0
C. 1
D. 2
Answer to question 20 A. 4