1-56 Evaluate the integral. 1. f sin³x cos²x dx 3. f/2 cos³x sin³x dx 5. sin³ (21) cos² (21) dt S 7. [/² cos²0 de 9. f cos¹ (21) dt 2. I cos'y sin³y dy #/4 /* sin³x dx 4. 6. cos (1/2) sin(1/2) dt T/4 8. / sin²(20) de 10. f sin²t cost dt

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

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Q: ___ ,3 ,5 ,י c0 How does it change?

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Q: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

Q: A={1,2,3,4} B={3,4,5,6,7} C={6,7,8,9}     Find B/A and C/A

A: Given sets are  A={1,2,3,4}B={3,4,5,6,7}C={6,7,8,9} The set B/A contains those elements of B which…

Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

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Q: How many combination of 4 objects can be made from 6 objects, four of which are unique and 2 are…

A: It is given that  Total objects = 6 Unique objects = 4 Identical objects = 2

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

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Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: 6. |x²e-2*dx

A: Solved below

Q: Compute P5,2.

A: To compute P5,2

Q: 562C 2b

A: See the details solution in below

Q: How many telephone numbers have no repeated digits?

A: Given, A telephone number consists of seven digits which is combination of {0,1,2,3,4,5,6,7,8,9}.

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: A = (0, -3) and B = (5,9) A = (3, – 11) and B = (9,-3)

A:

Q: Find the mode for the following variables 22,2,4,3,22,22,4,8,9,3,22,22

A: Given the observations: 22, 2, 4, 3, 22, 22, 4, 8, 9, 3, 22, 22  The mode is the value that appears…

Q: how to find the least common mulitpe of 20,8, and is 4

A: Here we have to find the LCM.

Q: 15, 9,3, -3, how do you find the next term

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Q: How many Licence plates of two letters followed by three digits can be made if the letters and…

A: Total no. of letter from A-Z is =26Total no. of digits from 0-9=10

Q: Find a . b. a = (5, -5, 2), b =(3, 4, -1)

A: The dot product of a=a1, a2, a3 and b=b1, b2, b3 is: a·b=a1b1+ a2b2+ a3b3

Q: Suppose a license plate contains two letters followed by three distinct digits with the first digit…

A: Ans#- Given, A license plate contains two letters followed by three distinct digits with the first…

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Q: A 7 digit phone number consists of numbers 0 - 9. How many different combinations can be made if the…

A: Given ,number digits from 0 to 9=10

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Q: the

A: Given: Word = SARASAR There are three letters in this word S, A, and R Words starting with S and…

Q: 5a. A bag contains two red marbles, six green ones, one lavender one, two yellows, and four orange…

A: These are combination problems.