MTH101 Quiz 2 by Junaid

Q1. Why the equation: x*2 +8=0 does not have approximate solution while using Newton's method

X^2 will always be negative x*2 will always be nonnegative

What are critical points of the function f(x) =*-1?

x=1 x=0

Q3. Let A be the area of a rectangle under a continuous function f(x) over a closed interval (o, b]. If this area is divided in to 'n' sub-rectangles, then width of each approximated sub-intervals is____

(a-b)/2 (o-b)/n (b-o/2n (b-o)/n

Q4. Increase in number of rectangles under any continuous function gives_________approximation to area.

better Poor no change in

Q5. If Newton's Method succeeded to get the approximate solution of an equation, then which of the following is NOT true about it.

The slope of the tangent line (at any approximated point) must be non-zero.

The sequence of approximated points not convergent to the exact solution

Q6. Summation of 2 where sum ranges from 0 to 10 equals 20.

True False

Q7. If the closed interval f-10,x] is divided into 20' equally spaced subintervals each of which having the width equals to 1' unit then the value of* is_______

Q8. Its anti-derivative is x^5/5. Not sure

Its anti-derivative is5/5+10. THIS ONE IS ALSO CORRECT Its anti -derivatives x5/5+2.

Q9. Let y f() be a discontinuous function on a finite closed interval, then which ofthe following is true about it

None It of these. It may or may not have absolute extreme values. It must have absolute extreme values.

Q10. Integral of 52 is NOTE: X'n means '* to the power’s

25x (1/3)5*3

Q11. If f(x)=x^3 is defined on the interval! [1, 3], then which of the following is true about it.

Its relative minimum value exists at the critical point. Its relative minimum value does not exist et the critical point CM

KHANCSUIY HAN Its absolute minimum value exists at the critical point

Q12. In approximation to an area Rn (where n is subscript) when limit is taken as n goes to infinity, approximation becomes actual area

True False

Q13. If fx)= Sec^(2) x+x^3, then which of the fallowing is NOT true about it.

Its anti-derivative is Tan(x)+ x*4/4+ 15

Its anti -derivative is Tan(x) + x*4/4 +12 Its anti -derivative is Ton(x)+ x4/4 + 10.

Q14. Integration of 5 with respect to x is_______

X 5x 5x^2

Q15. Sum of n-terms of a series whose nth term is 'n'= 1/n+1.then what is the sum of the first two terms is____

Q16. Newton's method uses the______________to approximate the root.

Tangent line Secant line Normal line