2 years ago

Find the volume of the region of the solid bounded by x=y, z=0, y=0, x=2, and 2x+2y+z=0.

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

4 not equal to 0

Step-by-step explanation:

2(2)+2(0)+(0)=0

4+0+0=0

4=0

not equivalent

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Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the diffe

krek1111 [17]

Answer:

The solution is

$P(t) = 1000e^{-1}e^{e^{-0.05t}}$ .

Step-by-step explanation:

We have the Gompertz's differential equation

$\frac{dP}{dt} = -cP\ln(KP)$ .

Notice that this a separable equation. So,

$\frac{dP}{P\ln(KP)} = -cdt$ .

Now, integrating in both sides:

$\int\frac{dP}{P\ln(KP)} = -\int cdt$ .

Recall that

$\int\frac{dP}{P\ln(KP)} = \ln(|\ln(KP)|)$ .

Thus,

$\ln(|\ln(KP)|) = -ct+A$ ,

and taking exponential:

$|\ln(KP)| = A'e^{-ct}$ .

Taking another exponential

$P(t) = \frac{A''}{K} e^{e^{-ct}}$ .

Now, let us substitute the given values for c and K:

$P(t) = \frac{A''}{3000} e^{e^{-0.05t}}$ .

To find the value of the constant A'' we use the initial condition:

$P(0) = \frac{A''}{3000} e^{e^{0}} = \frac{A''}{3000}e=1000$ .

Then,

$A'' = \frac{3\cdot 10^6}{e}$ .

Hence, the solution is

$P(t) = 1000e^{-1}e^{e^{-0.05t}}$

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3 years ago

Classify Angle 1 & Angle 2 by choosing the correct term from the choices below.

r-ruslan [8.4K]

Answer:

vertical

Step-by-step explanation:

did the test

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1 year ago

Sally goes out to lunch and has the option of a soup or a salad and then a turkey, ham, or club sandwich. Which tree diagram cor

lara [203]

The answer should be B

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3 years ago

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Put the numbers in order from smallest to largest to find the the five-number summary. 14, 18,28,29,32,44,48,50,65

dem82 [27]

Answer:

smallest number :14,18,28 29,32

largest number :65,50,48,44,32

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2 years ago

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.

AveGali [126]

Answer:

2/13

Step-by-step explanation:

For a deck of card

Total cards = 52

Total spade = 4

Total diamond = 4

pr(drawing a spade) = number of spade/total cards

pr(drawing a spade) = 4/52 = 1/13

pr(drawing a diamond) = 4/52 = 1/13

Pr(diamond or a spade) = 1/13 + 1/13 = 2/13

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2 years ago