Given:
The equation of the curve is:
To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,
Differentiate the given equation with respect to x.
Now we need to find the value of this derivative at (2,7).
Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
Answer:
3 6/25
Step-by-step explanation:
Make the mixed fractions improper fractions and multiply them together. After that make the multiplied improper fraction a mixed fraction (answer in drawings)
Answer:
E. 16 min 12 sec
Step-by-step explanation:
Let x represent total time taken to complete the exercise.
We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.
When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.
18 seconds will be equal to 0.3 minutes.
Let us find total time of exercise as:
To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.
Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.
Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.