2. Evaluate the following improper integrals if convergent, otherwise justify why the integral diverge. •5 1 а. xe2a dx с. dx 4 In x dx x² 1 b. d. dx x2 – x – 2

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: -1 (4, -4) (2, –5) (6, –5) (4, -6)

A:

Q: 3. H-8)- (4-8) -10

A:

Q: -3 1 8 3 7 -1 4 0 5 3]

A:

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: -4-3|4-4*2|

A: This is a basic question including a modulus function. in this |4-4*2|=|4-8|=|-4| Modulus function…

Q: (3) ² What is the exact value of tan

A: Given trignometry function tan( 2π3 )

Q: Ay 10 -10 - 2т

A: Graph of  function is

Q: and

A:

Q: then A-¹ 1 A 8 6 -2 0 -7 0 1 9 "

A:

Q: then A-1 A 7 -8

A: Where  is the transpose matrix of the cofactors.The expression for the cofactors is:

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

A:

Q: -5,4y+14-2y=4

A: Given ,  4y + 14 - 2y = 4     ....... (1)  We have to find value of y  (1) implies

Q: -5+2(8-12)

A: Use PEMDAS rule to simplify.First we work with the parenthesis. In it 8-12=-4

Q: A3,3=? 2 6 9 3 4 1 7 7 8

A:

Q: a. Find Cx D b. Find D x C c. Verify Card (C x D) = Card (D x C) d. Find C-D and D - C and verify…

A:

Q: 1+2+3+......+100

A: Concept Used: Arithmetic Progression : If S=1+2+3+.......+n then first term of the sum is 1 and last…