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svlad2 [7]
3 years ago
5

the Wilson's have 12 yd of fence for their garden.what are the length and width of the garden if it has the greatest possible ar

ea?
Mathematics
1 answer:
Anastasy [175]3 years ago
8 0
Lenght Height And Width All Are 4 

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I think I know this much so far for A (but I could be wrong):
Eduardwww [97]
Part A. You have the correct first and second derivative.

---------------------------------------------------------------------

Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.

-------------------------------------------------------------

Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out

To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h  ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0. 
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well. 
6 0
3 years ago
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
myrzilka [38]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =

A = \pi r^2

where r is the radius of the circle.

Putting values, we get,

1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}

Thus, the sprinkler can spread water 18 feet away.

6 0
3 years ago
Read 2 more answers
Fill in the blanks:
muminat
6x + y = 1 , y, y, -6x + 1 or 1 - 6x
7 0
3 years ago
Find the percent increase. Round to the nearest percent.
kakasveta [241]

Answer:

80%

Step-by-step explanation:

from $25 to $45

$45/$25 = 1.8

$25 x 1.8 = $45

therefore, the increase is 80%

8 0
3 years ago
The radius of a circle is 20cm. What is its area? ( ratio= 3.14)<br><br> ​
Musya8 [376]

Answer:

A=100π=314.16 cm 2 to 5 significant figures

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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