Let D be the region that consists of points (x, y) such that 1≤x≤3 and 2 ≤ y ≤ 6. Suppose the average value of a continuous function f over the region D is k. Then, we must have O k [[ 15/ f(x,y) dA= 8 D f(x,y) dA= 8k D fff(x,y) dA= k 1(x, y) 4A-8 D

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

Q: Solve: 1/2x -3/5=2/5

A: We have given,

Q: Solve for x: 3* = 23

A: Given, 3x = 23  We have to solve for x.

Q: The square of a positive number plus seven times the number 540. Find the number

A:

Q: Solve ,  15(p-6) = 15(p+5)

A: Given: 15(p−6)=15(p+5)

Q: Solve for: ?^2 − ? − 6 ≤ 0

A:

Q: –+l l5=405 %3D

A: We can solve the quinary number system problem as below.

Q: solution r^3 = 36r

A: The given equation is a third degree equation. So it has 3 solutions.

Q: 3 + 4lnx =15

A: subtract both sides by 3

Q: Solve: 8*+5 = 4*-1 %3D

A:

Q: estimate the number of times that the sum will be 10 if the two number cubes are rolled 600 times.

A: Solution: Given that the sum is 10 The only 3 ways that two dice can sum to 10 are (4, 6), (5, 5),…

Q: Solue forx 8tlogs (-4x)=10

A: Please see the answer below.

Q: Solve: 2x + 5 = 3 or 2x + 3 < 3.

A: Given: 2x+5≥3 . 2x+3&lt;3 . When 2x+5≥3, 2x≥-2  x≥-1 When 2x+3&lt;3, 2x&lt;0  x&lt;0

Q: Write all solutions to x^2 = -100

A: x^2=-100 x=+-sqrt(-100) x=+-10sqrt(-1) we know that i=sqrt(-1) then value of x given by- x=10i and…

Q: V8x -23 + 18 = 25

A:

Q: Solve: 4*1=162x-4

A:

Q: Solve : 2x2 = 250

A: 2x2=2502x

Q: Multiply the 1st equation by 3 to make -9x. -3x + 5y = -8 9x - 2y = 30

A: