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statuscvo [17]
3 years ago
10

Please help. struggling ​

Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

g for the first one and h for the second one

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Given that the antiderivative of f of x equals 1 divided by the quantity x squared plus 1 is F(x) = tan-1(x) + C, evaluate the i
andreyandreev [35.5K]

Answer:

You know that if f(x) = 1/(x²+1) then F(x)=arctan(x).

What is arctan(x) function? It is inverse function of tan(x) in tge range (-π/2, π/2).

So if tan(x) = y then x = arctan(y)

therefore arctan(-1) = -π/4 because tan(-π/4)=-1 and arctan(1)=π/4 because tan(π/4) = 1.

In conclusion:

integral (dx/(x²+1)) from -1 to 1 =

= F(1) - F(-1) = arctan(1) - arctan(-1) =

=π/4-(-π/4)=π/4+π/4 = π/2.

answer B is correct

4 0
3 years ago
Read 2 more answers
Find the missing value.
Blizzard [7]

Answer:

x=3

Step-by-step explanation:

x-6=-3

x=3

4 0
2 years ago
Alex wants to have $2,500 in his bank account after 2 years. If the account earns 5% interest compunded 2 times per year, how mu
natka813 [3]
A=P(1+ \frac{r}{n})^{nt}
A=futurer amount
P=present amount
r=rate in decimal
n=number of times compounded per year
t=time in years

A=2500
r=0.05
n=2
t=2

2500=P(1+ \frac{0.05}{2})^{(2)(2)}
2500=P(1+ 0.025)^{4}
2500=P(1.025)^{4}
2500=P(1.025)^{4}
divide both sides by [tex} 1.025^{4} [/tex]
2264.88=P

he should invest
$2264.88

5 0
3 years ago
In math is -34 less than -9
melamori03 [73]
When dealing with negatives, the higher the number is, the lower the value is. therefore, -34 is less that -9.
6 0
3 years ago
Read 2 more answers
-136=-8(7-2x) what is the value of x
serg [7]

Answer:

x=-5

Step-by-step explanation:

hope i helped

5 0
3 years ago
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