MTH102: Elementary Mathematics Ii TMA1

 

Instructions: Answer All .
After Submission, you will not be able to answer these questions

Question 1 : Differentiate with respect to x:f(x)=(ax3+bx)f(x)=(ax3+bx)
3ax2+b3ax2+b
3a−b3a−b
3×2+13×2+1
ax2+bax2+b

Question 2 : Evaluate the limitlimx→∞6e4x−e−2x8e4x−e2x+3e−xlimx→∞6e4x−e−2x8e4x−e2x+3e−x
1212
3535
3434
1414

Question 3 : Find the derivativef(x)=2×2−16x+35f(x)=2×2−16x+35by using first principle
2x−82x−8
x+16x+16
3x−53x−5
4x−164x−16

Question 4 : Evaluate the limitlimh→02(−3+h)2−18hlimh→02(−3+h)2−18h
8
14
6
12

Question 5 : Given2×5+x2−5t22x5+x2−5t2, finddydxdydxby using the first principle
6t2+10t−36t2+10t−3
c−t−2+8t−3−t−2+8t−3
6t+7t−36t+7t−3
t2+5t−3t2+5t−3

Question 6 : Evaluate the limitlimx→−∞x2−5t−92×4+3x3limx→−∞x2−5t−92×4+3×3
4
2
0
1

Question 7 : Differentiatey=3√(x2)(2x−x2)y=3(x2)(2x−x2)with respect to x
y=10×233+8x533y=10×233+8×533
y=5×233−4x533y=5×233−4×533
y=5×233+4x533y=5×233+4×533
y=10×233−8x533y=10×233−8×533

Question 8 : Evaluate the limitlimt→4t−√(3+4)4−tlimt→4t−(3+4)4−t
−58−58
−18−18
3434
−38−38

Question 9 : Giveny(x)=x4−4×3+3×2−5xy(x)=x4−4×3+3×2−5x, evaluated4ydx4d4ydx4
42
22
30
24

Question 10 : Evaluate the limitlimx→∞2×4−x2+8x−5×4+7limx→∞2×4−x2+8x−5×4+7
2323
3434
1212
1313