Plz refer to the attachment
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Compute the derivative dy/dx using the power, product, and chain rules. Given
x³ + y³ = 11xy
differentiate both sides with respect to x to get
3x² + 3y² dy/dx = 11y + 11x dy/dx
Solve for dy/dx :
(3y² - 11x) dy/dx = 11y - 3x²
dy/dx = (11y - 3x²)/(3y² - 11x)
The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when
11y - 3x² = 0
or
y = 3/11 x²
(provided that 3y² - 11x ≠ 0)
Substitute y into into the original equation:
x³ + (3/11 x²)³ = 11x (3/11 x²)
x³ + (3/11)³ x⁶ = 3x³
(3/11)³ x⁶ - 2x³ = 0
x³ ((3/11)³ x³ - 2) = 0
One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with
(3/11)³ x³ - 2 = 0
(3/11 x)³ - 2 = 0
(3/11 x)³ = 2
3/11 x = ³√2
x = (11•³√2)/3
Solving for y gives
y = 3/11 x²
y = 3/11 ((11•³√2)/3)²
y = (11•³√4)/3
So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).
Answer: 540
Step-by-step explanation:
Given: A polling company reported that 53% of 1018 surveyed adults said that rising gas prices are "quite annoying."
To find: The exact value of 53% of 1018.
[we divide a percentage by 100 to convert it into a fraction of decimal]
Hence, the 540 adults said that rising gas prices are "quite annoying."
Thus, the exact value = 540
Do your sum which is $329.69 subtract $59.63 then if the unit is 4 or less round your answer to the nearest ten eg, 103 would be rounded to 100. If the unit is 5 and above you would round your answer up eg, 437 would be rounded to 440.
X=20. Because that line is 180 and u subtract 40 and u do 140/7= 20
