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3 years ago

(TIMED), Which equation is represented in the graph?

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

y = e^x

Step-by-step explanation:

That curve represents a typical function of y = e^x, and to decide if it is y = e^x or y = e^x + 1 you need to replace x = 0

y = e^(0) = 1

y = e^(0) + 1 = 2

If you see the graph when x = 0, y = 1

So it is y = e^x

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Express the integral as an iterated integral in six different ways, where E is the solid bounded by y=4-x^2-4z^2 and y=0

zmey [24]

Assuming you need the integral expressing the volume of $E$ , the easiest setup is to integrate with respect to $y$ first.

This is done with either

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dx\,\mathrm dz$
$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dz\,\mathrm dx$

Thanks to symmetry, integrating with respect to either $x$ or $z$ first will be nearly identical.

First, with respect to $x$ :

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dy\,\mathrm dz$
$\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dz\,\mathrm dy$

Next, with respec to $z$ :

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$
$\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dx\,\mathrm dy$

5 0

3 years ago

Pls help asap I will give brainerlist plus 25 points

kirza4 [7]

PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction

First, we do the exponents.

5² - 4 · 6 + 11

= 25 - 4 · 6 + 11

Next, multiplication (according to PEMDAS).

= 25 - 24 + 11

Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.

= 25 - 24 + 11

= 1 + 11

Finally, addition.

= 12

This is your answer. Happy studying~

6 0

3 years ago

Read 2 more answers

Simplify the expression using the order of operations show all your work 150- (4²+4) ÷ 2

tekilochka [14]

Answer:

Step-by-step explanation:

150-(4^2+4)/2

150-(16+4)/2

150-(20)/2

130/2=65

3 0

2 years ago

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What is the orgins of a line if the slope is -2

Reptile [31]

Da answer is 1 lalala

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3 years ago

Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)

Y_Kistochka [10]

Answer:

Associative property of addition. Grouping different addends does not change the sum.

Step-by-step explanation:

5 + 2 + 3 = 5 + (2 + 3)

10 = 5 + (5)

10 = 10

3 0

3 years ago