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Grace [21]
3 years ago
6

Find the value of x at which the function has a possible relative maximum or minimum point.​ (Recall that e Superscript x is pos

itive for all​ x.) Use the second derivative to determine the nature of the function at these points.
f(x)=(3+x)e-4x

What is the value of x at which the function has a possible relative maximum or minimum point?

1a. Is the point a relative maximum or mininum?
Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

f'(x)=  -e^{-4x}(11+4x)

And then we get that   if   11+4x = 0   then   x = -11/4 . So it has a critical point at   x = -11/4.

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56

x= -11/4 is a maximum.

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Bumek [7]

Answer:

<h2>2 c. = 1 pt.</h2><h2>2 pt. = 1/4 qt.</h2><h2>1 gal. = 4 qt.</h2><h2>4 qt = 1 gal.</h2>

Step-by-step explanation:

\boxed{1gal.=4qt.=8pt.=16c}\\\\1pt.=2c.\Rightarrow 2c.=1pt.\\\\1qt.=8pt.\to1pt.=\dfrac{1}{8}qt.\Rightarrow2pt.=2\cdot\dfrac{1}{8}qt.=\dfrac{1}{4}qt.\\\\1gal=4qt.\Rightarrow4qt.=1gal.

7 0
3 years ago
How many people choose football or soccer than baseball or basketball.
Jlenok [28]

Answers 8 football, 6 baseball and basketball, 5 soccer

Step-by-step explanation:

8 football, 6 baseball and basketball, 5 soccer

8 0
2 years ago
Malik is using a cookbook to make a recipe, but he cannot find his
spayn [35]

Answer:

a. Given a number of tablespoons, find the number of cups:

1. Since he needs 2 cups, he can use 2×16=32 tablespoons.

2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.

He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:

I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)

I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)

Step-by-step explanation:

5 0
3 years ago
Please help
bezimeni [28]

Answer:

26-4s=9s

26-(4s-9s)=0

26+5s=0

5s=-26

ans: s= -26/5

-3r+10=15r-8

-3r-15r=-8-10

-18r=-18

18r=18

ans: r=1

-9(t-2)=4(t-15)

-9t+18=4t-60

-9t-4t=-60-18

-13t=-78

13t=78

ans: t=26

THERE U GO! :D

5 0
2 years ago
Read 2 more answers
3 - what = 11<br><br> please help with this one
SOVA2 [1]
So we can set up a simple equation for this, where the word “what” is a variable, x. This equation is 3 - x=11. Then we subtract 3 from both sides, giving us -x=8. We can divide both sides by -1, giving us x=-8. The answer would be -8. Hope this helped.
3 0
2 years ago
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