Determine the region R in the xy-plane that minimizes the value of JJ (x² + y² - 8) dA. OR={(x, y): x > 8, y> 8} OR={(x, y): x + y = 8} OR = {(x, y): x² + y² ≥ 8} : = {(x, y): x < 8, y < 8} OR = {(x, y): x² + y² ≤ 8} OR=

Q: 11) 60

A: Here I am attaching image so that you understand each and every step.

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: 10) 21 68

A: We know that tan θ=Opposite sideAdjacent sidetan(68)=x21

Q: 72

A: here we will find value of x ,

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

A:

Q: 19 14.3

A:

Q: 29 14

A: It's trigonometric question so I'm providing hand written solution for better understanding.

Q: 4) 37 12

A:

Q: 11 11 4. 64

A: Given: simplify the expression

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 2. 27

A:

Q: 14 19

A: To find :- x  Given :- Base = 14 , Hypotenuse = x ,               and θ= 49°   By using…

Q: 3 19.21 11 11

A:

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: 4. 36

A: Given,          34=a36