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Alex
3 years ago
7

Consider the following function. f(x) = |x − 9| Find the derivative from the left at x = 9. If it does not exist, enter NONE. -1

Correct: Your answer is correct. Find the derivative from the right at x = 9. If it does not exist, enter NONE. none Incorrect: Your answer is incorrect. Is the function differentiable at x = 9?
Mathematics
1 answer:
nydimaria [60]3 years ago
8 0

Answer with Step-by-step explanation:

We are given that

f(x)=\mid x-9\mid

f(x)=-(x-9) when x<9

f(x)=x-9 when x\geq 9

LHD

\lim_{x\rightarrow 9-}f'(x)

=-\lim_{x\rightarrow 9-}(x-9)=-1

RHD

\lim_{x\rightarrow 9+}f'(x)

=\lim_{x\rightarrow 9+}(x-9)=1

LHD\neq RHD

Hence, the function is not differentiable at x=9

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HELP ASAP (MATH)
alexdok [17]

PART - A : tent - 1 volume = 400 cubic ft

Tent -2 volume = 384 cubic ft.

PART - B : I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume

<u>Step-by-step explanation:</u>

PART - A:

tent 1 :

 Base = 10 x 10ft

 Height= 12 ft

 Volume = (1/3) (10x 10) (12)

 = (1/3) (100) (12)

= 400 cubic ft.

Tent 2:

 Base = 12 x 12 ft

 Height= 8 ft.

 Volume = (1/3) (12 x 12) (8)

= 384 cubic ft.

PART - B:

I recommend Joe to make the tent -1 with base 10x10 ft. as it has more volume

 

8 0
4 years ago
Write an equation for line ℓ
Brrunno [24]

Answer:

y=4

Step-by-step explanation:

l is a horizontal line

Horizontal lines are of the form

y =

Since the y coordinate is 4

y=4

3 0
3 years ago
Compute the missing data in the table for the following exponential function . Leave your answer in decimal form.
Snezhnost [94]

Answer: Option C: 0.03125

Step-by-step explanation:

we have an exponential equation, so we have:

f(x) = A*r^x

we have that:

f(1) = A*r^1 = A*r = 0.5

f(2) = A*r^2 = 0.25

f(3) = A*r^3 = 0.125

f(4) = A*r^4 = 0.0625

f(5) = A*r^5 = ?

we want to find the value f(5)

first, let's take the quotient:

f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.

then we have:

f(x) = A*0.5^x

and f(1) = A*0.5 = 0.5

then A = 0.5/0.5 = 1.

now we know that our function is f(x) = 0.5^x.

then, if we want to find f(5) we have:

f(5) = 0.5^5 = 0.03125

Then the correct option is option c.

4 0
3 years ago
The ratio of men to women enrolled in Math for Elementary Teachers at Indiana University Purdue University Indianapolis is 1 to
Alekssandra [29.7K]

Answer:

31 men are enrolled

Step-by-step explanation:

1 to 5

Divide 186 by 6. Then you would get 31 since that is the unit rate.

To check, multiply 31 by 5 and you would get 155, add 155 with 31, you would get 186. I don't really know how to explain it but thats my answer.

8 0
3 years ago
PLEASE HELP QUICK
Zinaida [17]
More than two is your answer
3 0
3 years ago
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