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1 answer:

7 0

Linear inequalities with two variables have infinitely many ordered pair solutions, which can be graphed by shading in the appropriate half of a rectangular coordinate plane. To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality.

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3 1/2 · 2 2/3 = ? Plz Help 15 pts

Veronika [31]

It equals 9.33

because 3 1/2 is 3.5 and 2 2/6 is 2.66 we multiply and get our answer

6 0

4 years ago

Oil leaks out of a tanker at a rate of r=f(t) liters per minute, where t is in minutes. If f(t) = A e^{-k t}, write a definite i

8_murik_8 [283]

Answer:

$V_{total} = \displaystyle\int_0^{60} A e^{-k t}~dt$

Step-by-step explanation:

We are given the following in the question:

Oil leaks out of a tanker at a rate of r = f(t) liters per minute, where t is in minutes.

$f(t) = A e^{-k t}$

Let V be the volume, then we are given that rate of leakage is:

$\displaystyle\frac{dV}{dt} = f(t) = A e^{-k t}$

Thus, we can write:

$dV = f(t).dt = A e^{-k t}~dt$

We have to find the a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour.

Thus, total amount of oil leaked will be the definite integral from 0 minutes to 60 minutes.

$dV =A e^{-k t}~dt\\V_{total} = \displaystyle\int_a^b f(t)~dt\\\\a = 0\text{ minutes}\\b = 60\text{ minutes}\\\\V_{total} = \displaystyle\int_0^{60} A e^{-k t}~dt$