Express the integrand as a sum of partial fractions and evaluate the integra 0x²+2xx-x O 6 In|x-51+tan 1 ¹ (22²) + 0 +C 06 in x-51 + 2 tan¹1 (22²) + C 01-31-¹²)+c tan 06mx-31 ¹+C tan C

Q: Samplity. 3(2~)- H (2 ") 2

A:

Q: Show that = n. mnZ

A: mZ = set of all integers which are divisible by m mnZ = set of all integers which are divisible by…

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: B = 1, 3, 4, 7, 8, 9 P(B)= ?

A:

Q: From a list of 10 cheeses and 6 wines, pick 3 cheeses and 3 wines for a tasting.

A: Given- The list of 10 cheese and 6 wines. To Choose-  3 cheeses and 3 wines for a tasting. Identity…

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

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A: A simple way to do this is using the stars and bars method. First, we give 3 marbles to all k…

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A:

Q: In a survey of 100 college students, 35 were registered in College Algebra, 52 were registered in…

A:

Q: 28) Find the GCF and LCM for 23 313 532 and 25 323 513

A:

Q: Gz tサ)

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Q: What is the LCM of 3, 5, 7, 9?

A:

Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: 134

A:

Q: List all the partitions of B = {a, b, c, d}.

A:

Q: You have an Amazon box delivered that contains 7 blue, 6 yellow, and 2 green marbles. You randomly…

A: In the given problem amazon contains 7 blue marbles, 6 yellow marbles and 2 green marbles. Total…

Q: (1)C-20 -4*)

A:

Q: 57) 5,624

A:

Q: Count.... a) 18 5 b. How many different 5-person teams can be formed from 15 students?

A: a) 8568 b) 3003

Q: Evaluate C(12,6)

A: The number of k- combinations from a given set S of n elements can be denoted by  Cn,k and can be…

Q: Assume

A: Option I)P(5,5)

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D…

A: As per our guideline we are supposed to answer only three subpart of question you can repost other…

Q: 9. 7.

A: Given,          A right triangle ABC is shown below :

Q: what percentage of the men worked?

A: men women total work 15 23 80 not work 23 28 51 total 38 93 131 what percentage of the…

Q: I have a bucket of n green balls labeled 1, 2, . . . , n. I have another bucket of red balls labeled…

A: The events are occurring simultaneously. So,  Total combinations=combinations for green…

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: There are eight swimmers competing in the 500 meter freestyle. In how many ways can they place in…

A:

Q: Q) Number of visitors in a water-boom arena raises 5,000 people averagely every year. In its fourth…

A: We will let that the number of people visited that areana in its first year = x

Q: 4. Evaluate de J V20 – 02

A: we have I=∫dθ2θ-θ2 make the complete square of the denominator i.e. 1-(θ-1)2 now substitute…

Q: Let A = {1, 4, 9} and B = { 1, 3, 6, 10}. A\B = B\A. A True B) False

A:

Q: How many different committees can be formed from 9 teachers and 30 students if the committee…

A: Given there are 9 teachers and 30 students.  We have to find that how many different committees can…