The value of the differential with respect to x is -xy/x²+ay
<h3>Implicit differentiation</h3>
Given the following function
x²y +ay² = b
We are to differentiate implicitly with respect to x
x²dy/dx + 2xy + 2aydy/dx = 0
(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay
Hence the value of the differential with respect to x is -xy/x²+ay
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<span>The workbench represents a rectangle with two sides 5 feet long each and two sides 3 feet wide each. The perimeter of said rectangle is the sum of the four sides or 5 + 5 + 3 + 3 for a total of 16 feet. therefore the amount of metal tape required is 16 feet.</span>
Answer:
-3 1/2 > -4.5
Step-by-step explanation:
1.5 > 2 1/2 False
1/2 > 0.5 False
-2.5 > -1.5 False
-3 1/2 > -4.5 True
1.5 > 2 1/2
1/2 = 0.5
2 + 0.5 = 2.5
1.5 is not > 2.5
1.5 < 2.5
1/2 > 0.5
1/2 = 0.5
0.5 is not > 0.5
0.5 = 0.5
-2.5 > -1.5
Negative numbers are oposite of positive numbers when using inequalities. Just as 0 < 1, -1 < 0.
-2.5 is not > -1.5
-2.5 < -1.5
-3 1/2 > -4.5
1/2 = 0.5
3 + 0.5 = 3.5
-3.5 > -4.5
Answer:
a) 
b) 
Step-by-step explanation:
a) 
1. Distribute the second power (2) outside the first pair of parenthesis:

= 
2. Distribute the third power (3) outside the second pair of parenthesis:

= 
3. Combine like terms:

--------------------------------------------
b) 
1. Factor the number 6 (= 2 · 3):

2. Cancel the common factor (2):

3. Cancel out
in the numerator an denominator:

hope this helps!
Answer:
8 and 7
Step-by-step explanation:
8 -7 = 1
8*7 = 56