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sladkih [1.3K]
3 years ago
14

Solve Please help me

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

Answer:

answer is -1/6 like if right

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Find the critical points, domain endpoints, and local extreme values for the function
aliina [53]

Answer:

a) x = -3, b) x = 0, x = -6, c) x = 0, d) x = -6

Step-by-step explanation:

a) Let derive the function:

f'(x) = \frac{10\cdot x \cdot (x+3)-5\cdot x^{2}}{25\cdot (x+3)^{2}}

f'(x) is undefined when denominator equates to zero. The critical point is:

x = -3

b) f'(x) = 0 when numerator equates to zero. That is:

10\cdot x \cdot (x+3) - 5\cdot x^{2} = 0

10\cdot x^{2}+30\cdot x -5\cdot x^{2} = 0

5\cdot x^{2} + 30\cdot x = 0

5\cdot x \cdot (x+6) = 0

This equation shows two critical points:

x = 0, x = -6

c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that x = 0 corresponds to a local maximum. (See Attachment)

d) By plotting the function, it is evident that x = -6 corresponds to a local minimum. (See Attachment)

8 0
3 years ago
Simplify (Remember to simplify means to write an equivalent expression that uses each variable on')
DaniilM [7]

Answer:

A) x^{3} y^{4}

B) -\frac{5x^{2} }{y}

C) 9m^{4}n^{4}

D)\frac{1}{x^{3} }

Step-by-step explanation:

Hope this helps.

6 0
2 years ago
What is the additive inverse of t ? *
antiseptic1488 [7]

Answer:

-t

Step-by-step explanation:

Additive inverse of t:

t*-1 = -t

6 0
3 years ago
Read 2 more answers
A city that has an elevation of 15 meters is closer to sea level than a city that has an elevation of -10 meters.
Darya [45]

Answer:

Step-by-step explanation: Your answer will be -10 because even though -10 is much lower than 15 it’s still closer to sea level.

3 0
2 years ago
Solve for x -5(x+1)+3x-3=-14
ASHA 777 [7]

Answer:

x= 3

Step-by-step explanation:

Hope I get brainliest!

6 0
2 years ago
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