Integration will be ln | ( x /9 ) + ( 
) | + c .
Given ∫ 1 dx / ( 
- 81 )
Put ,
x = 9 secθ
dx = 9 secθ tanθ dθ
and
= 9 tanθ
Substituting values in ∫ 1 dx / ( - 81 ) ,
∫ (9 secθ tanθ ) dθ / ( 9 tanθ )
∫ secθ dθ = ln | secθ + tanθ | + c
= ln | ( x /9 ) + ( / 9 ) | + c
= ln | ( x /9 ) + ( ) | + c
Hence , the integration will be ln | ( x /9 ) + ( ) | + c .
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Answer:
4
Step-by-step explanation:
we know that 2/15 : 1/30 = 2/15 * 30 = 60/15 = 4
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Answer:
A
Total before tax: $118
Total after tax: $102.66
Step-by-step explanation:
For A, we add the cost of the shirt and jeans to get the total before tax.
$39.20 + $79.80 = $118.00
For the total, after 13% we see how much 1% is.
1% of $118 is $1.18
$1.18 * 13 = $15.34.
$118 - $15.34 = $102.66
Hope this helped! Have a nice day :)
Answer:
a=-8
b=-29
Step-by-step explanation:
Let's assume
first number is a
second number is b
the difference of two numbers,a and b,is 21
so, we get
we can solve for 'a'
the difference of five times a and two times b is 18
so, we get
now, we can plug 'a'
now, we can solve for b
now, we can find 'a'
