# 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

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