Find ||FI|. F(x, y, z) = i +j+k Sketch several representative vectors in the vector field. -5 -5 y y 10 -5 N N 5 5 10 5 5 X X -5 -5 -5/ y y 50 -5 N N 5

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

Q: Find L{1}ℒ{1}.

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: n?_4

A:

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: 16 2/5- 8 4/9

A:

Q: 20/5+5+2*8

A: Consider the given expression

Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

Q: Q2 (b) if the profit function for a product is P (x) = 5600x + 85 x - x' - 200,000 dollars, selling…

A:

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: 5 7/12 + 1 3/4 + 4 1/2

A: Given that 5712+134+412Solution  :5712+134+412=57+39+24612

Q: 1) (8s° - 9s) - (3s° + 4)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The differential equation that represent the following syster 1 -1 x, is 2 3

A: The given system is, This system can be written as, On differentiating equation (2).

Q: There are 1/8 blue balls, 1/4 green balls, 1/12 red balls and there are 26 white balls. How many…

A:

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: 10. 15gr, 20s

A: Given

Q: -3n in

A:

Q: 6 3/20 - 6 3/8

A:

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 8-12 (²

A: -83

Q: 4 1/2 +6 1/5=

A: We have

Q: 土4 7

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…