the graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left &
1 answer:
Answer:
- y = 3 | x + 2 | - 5
Step-by-step explanation:
<u>The absolute value function is:</u>
- y = | x |
<u>Step 1. Function is vertically stretched by a factor of 3:</u>
- y = 3 * | x |
<u>Step 2. Shifted two units left:</u>
- y = 3 | x + 2 |
<u>Step 3. Shifted 5 units down:</u>
- y = 3 | x + 2 | - 5
<em>See attached</em>
<em>Steps are </em><em>Black → Blue → Green → Red</em>
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Answer:
Step-by-step explanation:
Given:
Rate of change of radius of cylinder:
(This is increasing rate so positive)
Rate of change of height of cylinder:
(This is decreasing rate so negative)
To find:
Rate of change of volume when r = 20 inches and h = 16 inches.
Solution:
First of all, let us have a look at the formula for Volume:
Differentiating it w.r.to 't':
Let us have a look at the formula:
Applying the two formula for the above differentiation:
Now, putting the values:
So, the answer is: