Part 1
There are many ways to go about this, but one possibility is the following:
You are building a tree house. Your ladder is 10 feet long and the portion in the tree you're trying to get to is 8 feet off the ground. How far should the base of the ladder be from the tree so you can reach that portion?
==========================================================
Part 2
The drawing is shown below. The diagram is shown in 2D to keep things as simple as possible. Adding a third dimension greatly complicates everything.
We have a right triangle, so it has a 90 degree angle as shown by the square marker. The vertical leg is 8 feet. The horizontal leg is unknown. The hypotenuse (longest side) is 10 feet long to indicate the ladder.
==========================================================
Part 3
Use the pythagorean theorem to get...
a^2 + b^2 = c^2
x^2 + 8^2 = 10^2
x^2 + 64 = 100
x^2 = 100-64
x^2 = 36
x = sqrt(36)
x = 6
The base of the ladder should be 6 feet away from the tree, so that you can reach 8 feet off the ground.
Answer:
Step-by-step explanation:
<h3>a)</h3>The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
<h3>b)</h3>The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
Answer:
Step-by-step explanation:
Answer:
7z
Step-by-step explanation:
subtracting a negative is like adding