MTH101 Quiz by Cat Lover

Q1. Which of the following is the sum of 5^ (k*1) where K goes from 1 to 3?

1. 675
2. 525
3. 875
4. 775
5. Sum the first three terms of the series, whose general term is 5ki

Where first term=k1=10

Second term=K2=14

Third term=k3= -2

a) 001 b) 101 c) 111 d) 110

Q3. If f(x) = Cos(x) + Sin(x) +x, then which of the following is NOT true about it.

1. Its anti – derivative is

Sin (x) – Cos (x) + x ^ 2/2+4

b) Its anti – derivative is

-Sin (x) – Cos (x) + x ^ 2/2+4

c) None of these

d) Its anti – derivative is Sin (x) – Cos (x) + x ^ 2/2+5

Q4. Subdivide the interval [3, 5] into ‘n’ equal parts, and then the width of each subinterval is….

1. 1/n
2. n
3. -2/n
4. 2/n

Q5. Subdivide the interval [1, 5] into ‘n’ equally spaced subintervals then the width of each subinterval is….

1. 5
2. 5/n
3. 1/n
4. 4/n

Q6. ‘Xln(x/e)’ is the anti-derivative of ‘lnx’if and only if the derivative of ‘Xln(x/e)’ is equal to

1. Xln(x/e)
2. X
3. Inx
4. In(x/e)

Q7. If f(x) = Sec ^ (2) x+x^3, then which of the following is NOT true about it.

1. None of these
2. Its anti – derivative is

Tan(x) +x^4/4 +15

c) Its anti – derivative is

Tan(x) +x^4/4 +12

d) Its anti – derivative is

Tan(x) +x^4/4 +10

Q8. Integral of 3 sec(x) tan(x) is

1. (3/2)sec^2(x)+C
2. 3sec(x)+C
3. None of these
4. 3tan(x)+C

Q9. The indefinite integral of ‘sec(x) tan(x)’ is…….

1. Cotx+c
2. Sinx+c
3. Secx+c
4. Tanx+c

Q10. If f(x) =x ^ 5+6, then which of the following is NOT true about it.

1. Its anti – derivative is

x^6/6 + 12x

b) Its anti – derivative is

X^6/6 +6x+6

c) Its anti – derivative is

X^6/6 +6x+10

d) Its anti – derivative is X^6/6 +6x

Q11. Why the equation: x^2 + 8=0 does not have approximate solution while using Newton’s method?

1. X^2 will always be negative
2. X^2 will always be non-negative