Answer:
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↪The squaring of the number ..
↪(-1/5)^2 = 1/25
↪thus the answer is 1/25
Answer:
3n/8 +1=25
3n/8= 25-1
3n/8=24
Multiply both sides by 8 to clear the fraction on the left
3n=24x8
n=24x8/3
n=64
Answer: 10t+10=20
Step-by-step explanation:
If <em>y</em> = <em>y(x)</em>, then the slope of the tangent line to (1, 1) is equal to the value of the derivative d<em>y</em>/d<em>x</em> when <em>x</em> = 1 and <em>y</em> = 1.
Compute the derivative using implicit differentiation:
d/d<em>x</em> [<em>xy</em> ^2 + <em>y</em>] = d/d<em>x</em> [2<em>x</em>]
d/d<em>x</em> [<em>xy</em> ^2] + d/d<em>x</em> [<em>y</em>] = 2 d/d<em>x</em> [<em>x</em>]
(<em>x</em> d/d<em>x</em> [<em>y</em> ^2] + d/d<em>x</em> [<em>x</em>] <em>y</em> ^2) + d<em>y</em>/d<em>x</em> = 2
2<em>xy</em> d<em>y</em>/d<em>x</em> + <em>y</em> ^2 + d<em>y</em>/d<em>x</em> = 2
(2<em>xy</em> + 1) d<em>y</em>/d<em>x</em> = 2 - <em>y</em> ^2
d<em>y</em>/d<em>x</em> = (2 - <em>y</em> ^2) / (2<em>xy</em> + 1)
Plug in <em>x</em> = 1 and <em>y</em> = 1 :
slope = d<em>y</em>/d<em>x</em> = (2 - 1^2) / (2*1*1 + 1) = 1/3
Now use the point-slope formula to get the equation of the line:
<em>y</em> - 1 = 1/3 (<em>x</em> - 1)
<em>y</em> = <em>x</em>/3 + 2/3