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kotykmax [81]
3 years ago
13

Analyze a graph In Exercise,analyze and sketch the graph of the function.Label any relative extrema, points of inflation,and asy

mptotes.
f(x) = xe - x

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

Step-by-step explanation:

Given is a function of x

f(x) = xe^{-x}

When y=0 we get x=0 and infinity

Hence x intercept is 0 and one asymptote is x axis.

When x=0 , y =0

f'(x) = e^{-x}(-x+1)

f''(x) = e^{-x}(x-1-1)

Maxima at x=1, and point of inflection is at x=2

Increasing upto x=1 and then decreases

Graph is enclosed

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What is the length of the hypotenuse of the triangle? triangle A B C. Side A C is 7 centimeters and side B C is 3 centimeters. H
Maksim231197 [3]

Answer: √58 cm or 7.62 cm

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since we are given the lengths of a and b, we can plug them into this formula to find the length of the hypotenuse.

7²+3²=c²

49+9=c²

58=c²

c=√58 or 7.62 cm

6 0
3 years ago
Paula’s living room is in the shape of a rectangle. It measures 20 feet long and 10 feet wide. What is the area of her living ro
Basile [38]

20*10=200

B*h=The Answer

200 Square Ft is your answer


8 0
3 years ago
Read 2 more answers
Help please help help please please please
AnnZ [28]

Answer:

C. \frac{5}{4}

D. \frac{6}{7}

Step-by-step explanation:

C. 2 -  \frac{12}{16}

= 2 -  \frac{3}{4}

=  \frac{8 - 3}{4}

=  \frac{5}{4}

D. \frac{20}{22}  \times  \frac{33}{35}

=  \frac{10}{11}  \times  \frac{33}{35}

= 10 \times  \frac{3}{35}

= 2 \times  \frac{3}{7}

=  \frac{6}{7}

3 0
3 years ago
(a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right end
nirvana33 [79]
  <span>first, we are going to define variables as the following: 

a = 0 
a = π/2 
n = 4 rectangles 

Δx = [ b - a ] / n ------>Δx = [ π/2 - 0 ] / 4 = π/8 

right endpoints : 
sum( seq( 4 cos(x) * π/8 , x , 0+π/8 , π/2 , π/8 ) ) = 3.163065 underestimate 

left endpoints: 
sum( seq( 4 cos(x) * π/8 , x , 0 , π/2-(π/8) , π/8 ) ) = 4.733861 overestimate 

the reason because the actual estimate by integral as the following: 
π/2 
∫ 4cos(x) dx = 4 
0</span>
8 0
3 years ago
Which statement best explains whether △PQR is congruent to △XYZ?
slamgirl [31]
D. because PQR and XYZ are not congruent
5 0
3 years ago
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