The differentiable functions x and y are related by the following equation: xy=4 We are also given that (dy)/(dt)=1. Find (dx)/(dt) when y=0.5.

Determine Total Tape Needed: First, we need to determine the total amount of electrical tape the electrician needs and the amount of tape on each roll. Total amount of electrical tape needed: 8,000 cm Amount of tape on each roll: 2,000 cmCalculate Rolls Needed: Next, we calculate the number of rolls needed by dividing the total amount of tape needed by the amount of tape on each roll. Number of rolls needed = Total amount of tape needed ÷ Amount of tape on each roll Number of rolls needed = 8,000 cm ÷ 2,000 cmPerform Division: Perform the division to find the number of rolls. Number of rolls needed = 4

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The differentiable functions
x and
y are related by the following equation:

xy=4
We are also given that
(dy)/(dt)=1.
Find
(dx)/(dt) when
y=0.5.

The differentiable functions $x$ and $y$ are related by the following equation: $\newline$ $x y=4$ $\newline$ We are also given that $\frac{d y}{d t}=1$ . $\newline$ Find $\frac{d x}{d t}$ when $y=0.5$ .

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Q. The differentiable functions

x

and

y

are related by the following equation:

\newline

x y=4

\newline

We are also given that

\frac{d y}{d t}=1

\newline

Find

\frac{d x}{d t}

when

y=0.5

Determine Total Tape Needed: First, we need to determine the total amount of electrical tape the electrician needs and the amount of tape on each roll. $\newline$ Total amount of electrical tape needed: $8,000\,\text{cm}$ $\newline$ Amount of tape on each roll: $2,000\,\text{cm}$
Calculate Rolls Needed: Next, we calculate the number of rolls needed by dividing the total amount of tape needed by the amount of tape on each roll. $\newline$ Number of rolls needed $= \frac{\text{Total amount of tape needed}}{\text{Amount of tape on each roll}}$ $\newline$ Number of rolls needed $= \frac{8,000 \, \text{cm}}{2,000 \, \text{cm}}$
Perform Division: Perform the division to find the number of rolls. $\newline$ Number of rolls needed = $4$