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Gala2k [10]
3 years ago
11

If f(x) = 3a|4x - 4| - ax, where a is some constant not equal to zero, find f '(1)

Mathematics
2 answers:
dlinn [17]3 years ago
7 0
The slope of an absolute function at the point where it evaluates to zero is undefined.
Here, when x=1, so |4x-4|=|4-4|=|0|, the slope is undefined.  This is where the vertex of the "V" on the graph of the absolute value function.
hammer [34]3 years ago
3 0

Answer:

Differential does not exist.

Step-by-step explanation:

given function,

f(x) = 3 a|4 x - 4| - ax

opening the function

f(x) = 3 a(4 x - 4) - ax              and        f(x) = - 3 a(4 x - 4) - ax    

f'(x) = 12 a - a                          and        f(x) = -12 a - a  

f'(x) = 11 a                                and        f(x) = -13 a    

f'(1⁺) = 11 a                                and        f(1⁻) = -13 a  

hence,

  •                f'(1⁺)  ≠  f(1⁻)
  • so, Differential does not exist.
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4 years ago
The time it takes me to wash the dishes is uniformly distributed between 5 minutes and 12 minutes. What is the probability that
GalinKa [24]

Answer:

0.2857

Step-by-step explanation:

We define the time it takes to do these dishes to be uniformly distributed between the time 5 minutes and 12 minutes.

a = 5 minutes

b = 12 minutes

Probability of tonight's dish washing being between 6 and 8 minutes

P(6<X<8)

= 8-6/b-a

= 2/12-5

= 2/7

= 0.2857

The probability it will be better 6 and 8 minutes is therefore 0.2857

5 0
3 years ago
What is the sixth term of (a - b)7?
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3 years ago
1. Describe the impromptu speech. What are its major features?
Fantom [35]

Answer: Down Below

Step-by-step explanation:

1. An impromptu speech, by definition, is the one that a speaker delivers without any prior preparation on the topic. Impromptu, itself, means “doing something without preparation”. In declamation contests, a random topic is fired at the speaker on the spot, and the speaker gets just a few seconds to think over the topic.

2. Lack of Gestures. The most common problem with public speakers is the statue like position, which they assume on the stage.

Lack of Energy.

No Rapport with Audience.

Use of Notes.

No Eye Contact.

Disrespect for Fellow Speakers.

Rushing with Words

3. Florida Strawberry Festival

The Florida Strawberry Festival is an 11-day community event celebrating the strawberry harvest of Eastern Hillsborough County. Each year, over 500,000 visitors enjoy the festival's headline entertainment, youth livestock shows, rides, exhibits of commerce and, of course, its strawberry shortcake.

4. Done without being planned, organised, or rehearsed.

5. What makes impromptu speech different from an extemporaneous speech?

The difference is in the delivery method: the impromptu speech is generated instantly and delivered immediately; whereas, the extemporaneous speech is delivered using just a few notes.

4 0
3 years ago
Simplify the following expression. 3^11/5 divided by 3^-9/5
san4es73 [151]

Answer:

Answer is 81.

Step-by-step explanation:

Given two expressions are 3^{\frac{11}{5} } and 3^{-\frac{9}{5} }

Now we divide first expression by the second.

\frac{3^{\frac{11}{5} }}{3^{-\frac{9}{5} } }

3^{\frac{11}{5} }.3^{\frac{9}{5} }

3^{\frac{11}{5}+\frac{9}{5}} = 3^{\frac{20}{5} }=3^{4}=81

Therefore 81 is the answer.

6 0
3 years ago
Read 2 more answers
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