A newspaper reports the following changes in the temperature of a city over 4 days:
1 answer:
Answer:
The expression to show the average daily change in temperature can be given by :
⇒ °C
Step-by-step explanation:
Changes in the temperature of city as reported by newspaper :
Day 1: 2.64° C
Day 2: °C
Day 3: -0.35°C
Day 4: °C
The average daily change in temperature can be calculated as
⇒ °C
The fractions can be written in decimals
⇒ °C
⇒ °C
⇒ °C [Average daily change in temperature.]
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The second derivative at the point (2,2) is 34/9
<u>Explanation:</u>
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2x⁴ = 4y³
2x⁴ - 4y³ = 0
We first need to find dy/dx and then d²y/dx²
On differentiating the equation in terms of x
dy/dx = d(2x⁴ - 4y³) / dx
We get,
dy/dx = 2x³/3y²
On differentiating dy/dx we get,
d²y/dx² = 2x²/y² + 8x⁶/9y⁵
d²y/dx² = 34/9
Therefore, the second derivative at the point (2,2) is 34/9