Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
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:
8 meters
Step-by-step explanation:
Tina said that 6:8 is equal to 36:64.
It's wrong. It should be 48:64. Because just like a fraction, whatever you multiply in the bottom, you do to the top.
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
<em>Let the odd numbers be represented with x and y</em>
<em>Let x be the greater number</em>
<em></em>
<em></em>
<em></em>
<em>Required</em>
Find x and y
Since x and y are consecutive odd numbers and x is greater, then

Substitute y + 2 for x in
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<em></em>
<em></em>
<em></em>
Collect Like Terms
<em></em>
<em></em>
<em></em>
<em></em>
Divide both sides by 6



Substitute 15 for y in 


<em>Hence; the two odd numbers are 15 and 17</em>