53. g(x) = (2x 47² +1 3x - 1 2 - du 3x 3x Hint: [³* ƒ(u) du = ſº¸ ƒ(u) du + √³* ƒ (u) du J2x 2x 54. g(x) = {1+2x ₁2xt sin t sin t dt

Q: how many integers from 1 to 1000 are multiples of 3 or 5 (or both)

A: We want to find number of integer from 1 to 1000 are multiples of 3 or 5 (or both)

Q: Find x for the lamina bounded by x = 0, y= x*y = 2 – x. Assume unit density. (same region vou found…

A:

Q: How many second are there in a year

A: Solution: We know that, number of days in a year = 365 Number of hours in a day = 24 1 hour = 60…

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

A:

Q: How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if the number is odd and…

A: numbers: {3,2,7,6,0,4,9} make 4 digit numbers  no repeatation odd numbers: last digit must be odd.…

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: 7)-2abc * 4a²bc+

A: We will find the product.