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suter [353]
2 years ago
12

Help me asap!!!!!!!!

Mathematics
1 answer:
nikitadnepr [17]2 years ago
8 0

Answer:

the last option

Step-by-step explanation:

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Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
Read 2 more answers
Which is an irrational number, 0, the square root of 2, three fourths, or 4 squared
GaryK [48]

Answer:

\sqrt{2}

Step-by-step explanation:

4 0
3 years ago
53 - 9y = 1<br> -7.2 + 2y = -5
telo118 [61]

Answer:

1.1, -5

Step-by-step explanation:

53 - 9y = 1

from equation i

53-9y = 1

-9y= 1-53 = -52

y = -52/-9= 52/9 = 5⁷/₉

-7.2 + 2y = -5

add 7.2 to both sides

2y= -5+7.2 = 2.2

y= 2.2/2 = 1.1

7 0
3 years ago
On the three quizzes so far, Eric has scored 75, 92, and 83. What must he score on the fourth
AVprozaik [17]
He can make a 70 or higher to keep a B avg.
3 0
2 years ago
The range of y=√x-5-1 is​
Lady_Fox [76]

Answer:

[-1, ∞ )

Step-by-step explanation:

The use of parentheses is essential here.  I am assuming that you meant:

y=√(x-5) - 1

Note that √(x-5) has the range [0, ∞ ).  The domain is [5, ∞ ).

Thus, y=√(x-5) - 1 has the range [-1, ∞ )

6 0
3 years ago
Read 2 more answers
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