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adelina 88 [10]
2 years ago
11

the tempretur on friday was 46.8 degrees fahrenhiet. on saturday the tempreture was 63.5 degrees fahrenhiet how much higher was

the tempreture on sunday
Mathematics
1 answer:
Hitman42 [59]2 years ago
8 0
16.7 degrees..........
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If y2 = x3 + 2, which statement is true? The equation is a function at all values of x. The equation is not a function. The equa
tatyana61 [14]

Answer:

The equation is not a function.

Step-by-step explanation:

We are given that

y^2=x^3+2

y=\pm\sqrt{x^3+2}

Function: It is mapping between the values of two sets A and B.

Each element of A has unique value in set B.

By definition of  function

In given function

y has no unique value for each value of x.

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3 years ago
How do you do this question?
ElenaW [278]

x*y' + y = 8x

y' + y/x = 8 .... divide everything by x

dy/dx + y/x = 8

dy/dx + (1/x)*y = 8

We have something in the form

y' + P(x)*y = Q(x)

which is a first order ODE

The integrating factor is u(x) = e^{\int P(x)dx} = e^{\int (1/x) dx} = e^{\ln(x)} = x

Multiply both sides by the integrating factor (x) and we get the following:

dy/dx + (1/x)*y = 8

x*dy/dx + x*(1/x)*y = x*8

x*dy/dx + y = 8x

y + x*dy/dx = 8x

Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).

Since (xy)' turns into y + x*dy/dx, and vice versa, this means

y + x*dy/dx = 8x turns into (xy)' = 8x

Integrating both sides with respect to x leads to

xy = 4x^2 + C

y = (4x^2 + C)/x

y = (4x^2)/x + C/x

y = 4x + Cx^(-1)

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y = 4x - 5x^(-1)

you can check this answer by deriving both sides with respect to x

dy/dx = 4 + 5x^(-2)

Then plugging this along with y = 4x - 5x^(-1) into the ODE given, and you should find it satisfies that equation.

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By counting the table entries, we can see that there are 10 different options for a 3-topping pizza.

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Other cheeses that can be used as toppings are goat cheese, feta, and smoked gouda.

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Even though the sauce and cheese should almost always go on the bottom, the toppings themselves usually require the greatest attention.

Regardless of how many layers your pizza has, the top layer will receive the most heat.

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