Answer:
90
Step-by-step explanation:
Evaluate x^2 + 2 x^2 + 3 x^2 + 4 x^2 where x = 3:
x^2 + 2 x^2 + 3 x^2 + 4 x^2 = 3^2 + 2×3^2 + 3×3^2 + 4×3^2
3^2 = 9:
3^2 + 2×9 + 3×3^2 + 4×3^2
3^2 = 9:
3^2 + 2×9 + 3×9 + 4×3^2
3^2 = 9:
3^2 + 2×9 + 3×9 + 4×9
3^2 = 9:
9 + 2×9 + 3×9 + 4×9
2×9 = 18:
9 + 18 + 3×9 + 4×9
3×9 = 27:
9 + 18 + 27 + 4×9
4×9 = 36:
9 + 18 + 27 + 36
| 3 |
| 3 | 6
| 2 | 7
| 1 | 8
+ | | 9
| 9 | 0:
Answer: 90
Answer: 
Step-by-step explanation:
Given
The dimension of the rectangular box is 
If the Straw fits exactly into the box diagonally
So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

I'm assuming

By the quotient rule, the derivative

is
Answer:
see explanation
Step-by-step explanation:
A column vector has the form ![\left[\begin{array}{ccc}x\\y\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Following the direction of the arrow , the x- displacement = - 3 and y- displacement = 2 , then column vector is
![\left[\begin{array}{ccc}-3\\2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
h + k
=
+
← add corresponding elements from each vector
= ![\left[\begin{array}{ccc}4-2\\-3-1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4-2%5C%5C-3-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}2\\-4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C-4%5C%5C%5Cend%7Barray%7D%5Cright%5D)