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s2008m [1.1K]
4 years ago
10

Show that the curve y = 4x - x4 has only 1 stationary point. Determine the nature of this point.

Mathematics
1 answer:
masya89 [10]4 years ago
3 0

Answer:

Maximum

Step-by-step explanation:

dy/dx = 4 - 4x³ = 0

x³ = 1

x = 1

y = 4 - 1 = 3

There's only one stationary point: (1,3)

Nature:

d²y/dx² = -12x²

x = 1, so -12

Negative means it's maximum turning point

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If anyone can help me answer this it would be great thx
zzz [600]
Ok so remember
area=pir^2
area=256pi

256pi=pir^2
divide both sides by pi
256=r^2
squaer root
16=r

find r and d
d=2r
d=2(16)
d=32

radius=16ft
diameter=32ft




6 0
3 years ago
Read 2 more answers
In the 1800s, wagon trains traveled west along the oregon trail. A wagon train traveled from missouri to wyoming in 1 2/3 months
strojnjashka [21]

Answer: 2 4/15 months

Step-by-step explanation:

From the question, we are informed that a wagon train traveled from Missouri to Wyoming in 1 2/3 months and from Wyoming to Utah in 3/5 month.

The number of months that it will take the wagon train to travel from Missouri to Utah will be:

= 1 2/3 + 3/5

The common lowest multiple is 15

= 1 10/15 + 9/15

= 1 19/15

= 1 + 1 4/15

= 2 4/15 months

It will take they train 2 4/15 months to travel from Missouri to Utah.

7 0
3 years ago
PLZ HELP DUE TODAY. I WILL BE SO GRATEFUL 100 POINTS AND BRAINLIEST
motikmotik

Answer:

LCM:

7: 36

8: 6

9: 40

10: 15

GCF:

1: 10, sum is 140

2: 4, sum is 64

3: 14, sum is 84

4: 1, sum is 105

(This picture is hard to read but I am assuming that it is asking for exponents) (^ means exponent):

1: 8^7

2: 4^1

3: 10^4

Evaluating Each expression:

5: 41

6: 2

7: 27

8: 28

Algebraic expressions:

1: 5f-22

2: 48g

3: e/12

4: 3(m+7)

Please give Brainliest Answer! Thanks!

Step-by-step explanation:

6 0
2 years ago
The diagonal of a square has a length of 10 cm. find the length of a side of the square.
Triss [41]
The answer is c or 5sq(2)
4 0
3 years ago
1/2x+4=4x+1 solve x<br> Please step by step
coldgirl [10]

Answer:

x = \frac{6}{7}

Step-by-step explanation:

\frac{1}{2} x + 4 = 4x + 1

\frac{1}{2} x - 4x = 1 - 4

-\frac{7}{2} x = -3

Then, divide both sides by -\frac{7}{2} ,

x = \frac{6}{7}

6 0
3 years ago
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