MTH101 - Calculus and Analytical Geometry Quiz No 2 Solution Spring 2021

 

Dear Students, Here you can read or download MTH101 - Calculus and Analytical Geometry Quiz No 2 Solution of Spring 2021. Previously we shared Solved Mid-Term Grand Quiz Fall 2020 – Year 2021. You can also see the File of MTH101 Quiz 2 Solution 2021 provided by Raise For Success. Click on button to Download File and Must Follow our Website and Subscribe our YouTube Channel for latest updates. 


Question No 1:

If f(x)=x^3 is defined on the (Raise For Success) 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 at the critical point Correct
  • None of these
  • Its absolute minimum value exists at the critical point

Question No 2:

Sigma notation is used (Raise For Success) to write the lengthy ______ in compact form.

  • Sums Correct
  • Quotient
  • Difference
  • Products

Question No 3:

Subdivide the interval [3,5] into n equal (Raise For Success) parts, and then the width of each subinterval is ______.

  • 1/n
  • -2/n
  • 2/n Correct
  • N



Question No 4:

Summation of (ai) (I varies from 1 to n), summation (Raise For Success) of (aj) (j varies from 1 to n), summation of (ak) (k varies from 1 to n). All these three represents same summation.

  • True Correct
  • False

Question No 5:

The maximum and minimum (Raise For Success) values of the function f(x)=1/x does not lie in the interval [-1,1] because _____

  • f(x) is differentiable in [-1,1] Correct
  • f(x) is not one to one
  • f(x) is discontinuous in [-1,1]
  • f(x) is continuous in [-1,1]

Question No 6:

The indefinite (Raise For Success) integral of cos(x)-sin(x)’ is ______

  • cos(x)+sin(x)+c
  • -cos(x)-sin(x)+c Correct
  • cos(x).sin(x)+c
  • -cos(x)+sin(x)+c



Question No 7:

If the closed interval [-2,2] is divided (Raise For Success) into ‘50’ equally spaced sub-intervals then the width of each sub-interval is ______

  • -4/25
  • 1/25 Correct
  • 2/25
  • 4/25

Question No 8:

Integral of 5^2 is

Note: x^n means (Raise For Success) ‘n’ to the power ‘n’

  • 25x Correct
  • 10
  • (1/3)5^3
  • None of these

Question No 9:

If f(x)=x^2 is defined on the (Raise For Success) interval {-1,3} then which of the following is true about it.

  • Its absolute maximum value is 9 Correct 
  • Its absolute maximum value is 0
  • None o these
  • Its relative maximum value is 9



Question No 10:

The dimensions of a rectangle (Raise For Success) are given to be 8ft by 12ft. The perimeter of rectangle will be ______.

  • 60 feet
  • 50 feet
  • 30 feet
  • 40 feet Correct

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