Answer:
C.
Step-by-step explanation:
As we can see on the graph C is our answer.
Answer:
x = 2
Step-by-step explanation:
Rewrite the equation as 4x - 6 = 2
Move all terms not containing x to the right side of the equation:
Add 6 to both sides of the equation.
4x = 2 + 6
Add 2 and 6.
4x = 8
Divide each term by 4 and simplify.
Divide each term in 4x = 8 by 4.

Reduce the expression by cancelling the common factors.

Divide 8 by 4.
x = 2
The equation of
by maclaurin series is
.
The maclaurin series for f(x) is defined by the following formula:
--------------(1)
Where
is the i - th derivative of the function
If f(x) =
, then the formula of the i - th derivative of the function is:
----------------------(2)
Then,

Lastly, the equation of the trascendental function by Maclaurin series is:
---------------(3)
Hence,
The equation of
by maclaurin series is
.
Find out more information about maclaurin series here
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$75.14. formula as follows ($79.99 - (($79.99/100)x12)) + ((($79.99/100)x12)/100)*6.75)
Answer:
a. 1 263 888
b. 130 701
c. 72 years
Step-by-step explanation:
a. The differential equation applies here.
Let the quantity increase for a certain time be given by Q(t)
Every unity of time, the quantity increases by
so that after the time t, the quantity remaining will be given by:

In a similar manner, the quantity R(t) decreases at a rate given by the following expression:
and after the time , t the quantity of R remaining will be given by:

a. To find the population of humans in 1953

1993 - 1953 = 40 years = t
Q(40) = Q×
Q = 1 263 888.44
≈ 1 263 888
b. For bear population in 1993:

t = 40
R(40) = 
b = 130 700. 889
≈130 701
c. time taken for black bear population number less than 100 is given by:
130 = 11000×
solving using natural logarithms gives t = 72.72666
= 72 years Ans