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omeli [17]
2 years ago
8

All 6 members of the Valastro family have decided to

Mathematics
1 answer:
atroni [7]2 years ago
7 0

Answer:

5

Step-by-step explanation:

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Dy/dx= y^4 and y(2)= -1. Y(-1)=
cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

\dfrac{dy}{dx} = y^4

and with initial condition y(2) = -1.


The differential equation is separable:

\dfrac{dy}{y^4} = dx

Integrate both sides:

\displaystyle \int \frac{dy}{y^4} = \int dx

-\dfrac1{3y^3} = x + C

Solve for y :

\dfrac1{3y^3} = -x + C

3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}

y^3 = -\dfrac1{3x+C}

y = -\dfrac1{\sqrt[3]{3x+C}}

Use the initial condition to solve for C :

y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5

Then the particular solution to the differential equation is

y(x) = -\dfrac1{\sqrt[3]{3x-5}}

and so

y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}

6 0
2 years ago
Describe a transformation of the graph of f(x)=x that results in the graph of g(x)=4x
Wittaler [7]
The graph g(x) is Steeper.
7 0
3 years ago
MARKING BRAINLIEST!!
Misha Larkins [42]

Answer: 6a 2(a+2a) and the last one

Step-by-step explanation:

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3 years ago
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Plz help with 12<br> Will give brainliest
Irina-Kira [14]

Answer:

True, based on the <em>Transitive Property of Equality</em>.

Step-by-step explanation:

Note that the <em>Transitive Property of Equality </em>states that "If a = b, & b = c, then a = c.

In this case it is the same.

∠1 ≅ ∠2 (because both are complementary), ∠1 ≅ ∠3 (again, both are complementary), then based on the Transitive Property, ∠2 ≅ ∠3, making all of them complementary angles

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<em>~Senpai</em>

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Convert 6.350 to a fraction
stepladder [879]

Answer:

6 \frac{350}{1000} Is the answer, if you want it simplified then, 6 \frac{7}{20}

Step-by-step explanation:

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3 years ago
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