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sammy [17]
3 years ago
9

(PLEASE HELP!)

Mathematics
1 answer:
Darina [25.2K]3 years ago
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

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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

The units of integral will be liters.

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3 years ago
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What is the discriminant of the equation -4.9t^2+6.1t-0.8=0
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