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SSSSS [86.1K]
2 years ago
10

Can somebody PLEASE HELP ME

Mathematics
1 answer:
svet-max [94.6K]2 years ago
4 0

Answer:

150.796π square meters

maybe!

Step-by-step explanation:

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Water flows into a tank according to the rate F of t equals the quotient of 6 plus t and the quantity 1 plus t, and at the same
diamong [38]

Answer:

Step-by-step explanation:

The complete question is

Water flows into a tank according to the rate F(t)= (t+6)/(1+t), and at the same time empties out at the rate E(t)= (ln(t+2))/(t+1), with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest galllon, is in the tank at time t=10 minutes.

Let C(t) be the amount of water in the tank at time t. We now that the rate of change of the tank is given by

\frac{dC}{dt}=[\tex]rate at which water flows in- rate at which water flows out. Then [tex]\frac{dC}{dt}=\frac{t+6}{t+1}-\frac{\ln(t+2)}{(t+1)}[\tex]so, the desired expression is obtained by integrating with respect to t. This leads us to [tex]C(t)  = \int \frac{t+1}{t+1}+ \frac{5}{t+1} - \frac{\ln(t+2)}{(t+1)} dt=t+ 5 \ln (|t+1|)-\int \frac{\ln(t+2)}{(t+1)} dt +C

Unfortunately, the integral \int \frac{\ln(t+2)}{(t+1)} dt cannot be expressed using fundamental functions. So, the problem cannot have an specific function (if you are willing to know the complete answer, the integral of this function uses the  polylogarithm function with n=2).

Since you want the exact amount of water at time, you need to give C a value, that is, you need to know an initial condition for the problem. This means, you need to know the amount of water in the tank at time 0

8 0
3 years ago
Find the x- and y-intercepts of the equation 9x + 12y = 36.
Debora [2.8K]

Answer:

B)  Y-intercept: (0,3), X-intercept: (4,0)

Step-by-step explanation:

x = 0         12y = 36-9x

12y = 36

y = 3        y intercept: (0,3)

y = 0   9x = 36      x = 4

x intercept: (4,0)

3 0
3 years ago
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next te
ExtremeBDS [4]
F(n+1) = f(n) + 3 indicates that we add 3 to the previous term to get the next term

So,
next term = (previous term) + 3
second term = (first term) + 3
second term = (-4) + 3
second term = -1

Making the answer to be choice B) -1
6 0
3 years ago
Is the leading coefficient 0 or 1?<br><br> x^3 - 5x - 12
Aleks04 [339]

Answer:

1

Step-by-step explanation:

The coefficient of a polynomial expression is the coefficient of the term with the highest exponent. We can see that the term with the highest exponent is x^3. So, the leading coefficient is its coefficient which is 1.

Note that any number can be written as the product of that number and 1 as multiplying by 1 does not fundamentally change that number. In our given example, x^3 is equivalent to 1x^3.

5 0
2 years ago
Need some help on math
wariber [46]
N+7

Every time you add 7 you getbthat answer.
5 0
3 years ago
Read 2 more answers
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