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Gnesinka [82]
2 years ago
9

Let f(x) = (1 − x2)2/3. Which type of non-differentiable point exists at x = 1?.

Mathematics
1 answer:
slava [35]2 years ago
3 0

f(x)=(1-x^2)^{\frac{2}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3}(1-x^2)^{-\frac{1}{3}}\implies \cfrac{df}{dx}=\cfrac{2}{3\sqrt[3]{1-x^2}}

when it comes to a rational expression, we can get critical points from, zeroing the derivative "and" from zeroing the denominator alone, however the denominator provides critical valid points that are either "asymptotic" or "cuspics", namely that the function is not differentiable or not a "smooth line" at such spot.

if we get the critical points from the denominator on this one, we get x = ±1, both of which are cuspics.  Check the picture below.

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Help a girl out with geometry
Darya [45]
Follow the steps

106=x+79+x+45
106=2x+124
-124= -124
-18=2x
( -18)/2=(2x)/2 <----- solving for x
-9=x

then
angle LMF= -9+79
=70

angle FMN= -9+45
= 36
(when you add 70 and 36 together you get 106 which is the measurement of angle LMN or in other word the whole thing)

In conclusion the answer to the problem is:
Angle LMF is equal to 70.
7 0
3 years ago
Use the formula s=32, 512(1.10)^t to calculate your salary after 2 years. Round your answer to the nearest dollar.
Amiraneli [1.4K]

<em><u>Answer:</u></em>

s = $39,340

<em><u>Explanation:</u></em>

Note: I will use the symbol "n" instead of "t" in the solution.

<u>The given formula is:</u>

s = 32,512 * (1.1)ⁿ where "n" is the number of years.

We want to get the salary after 2 years. This means that we will substitute with n = 2 in the above equation and get the value of s.

<u>This is shown as follows:</u>

s = 32,512 * (1.1)²

s = $39,339.52 which is approximately $39,340

Hope this helps :)

8 0
3 years ago
Find the area of the segment with a radius of 19 meters to nearest hundredth.
IrinaK [193]

Answer:

take 361times 3.14

Step-by-step explanation:

you will get the answer

3 0
3 years ago
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Ghella [55]

Answer:

the mean is $80

Step-by-step explanation:

7 0
2 years ago
What is the value of x?
SCORPION-xisa [38]
the value of x would be 150
8 0
3 years ago
Read 2 more answers
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