[30 POINTS+BRAINLIEST]
1 answer:
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Answer:
(simplified form)
Step-by-step explanation:
I is the total length of all the 5 rods.
Each of the 5 parts lengths are , respectively.
<em>We add all of them and equate it to I:</em>
<em>Simplifying this, we take like terms and add:</em>
<em></em>
d1 = ax + by + c = 0 and d2= mx + ky + f = 0
if they are parallel :
8x + 2y = 7
8x + 2y - 7 = 0
- 8x + 2y -9 = 0
- 4x + y -6 = 0
- 16x + 4y - 19 = 0
you can create more whatever you want =)
Hope this helps ^-^
Answer:
1) gradient of f = (1/y)i+(-x/y^2)j
2) rate of change of f at P in direction of v = i - 1/16 j
3) maximum rate of change at P= (√17)/16
4) unit vector of maximum rate of change = 4/√17 i + 1/√17 j
Step-by-step explanation:
The explanation can be found in the attached picture
Note:
Since the gradient vector represents the direction of maximum change:
3) The maximum rate of change is the modulus of the gradient vector
4) The unit direction vector of maximum rate of change is the unit gradient vector.
