Solve the differential equation by separation of variables x(dy/dx)=4y

1 answer:

3 0

get all your x one on side and y on the opposing side so we have
xdy=4ydx
dy/y=4dx/x
integrate both sides
lny=4lnx+C
 y=e^(4lnx+C)
The answer is y=cx^4

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Given the following roots build a polynomial function in standard form: -3 and +2

swat32

Answer:

f(x) = x² +x -6

Step-by-step explanation:

The standard form will look like ...

f(x) = x² +bx +c

where b is the opposite of the sum of the roots, and c is their product.

f(x) = x² -(-3+2)x +(-3)(2)

f(x) = x² +x -6

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Additional comment

In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).

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Santiago is building a skateboarding ramp by propping the end of a piece of wood on a cinder block. If the ramp begins 63 centim

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Answer:

65 cm

Step-by-step explanation:

See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.

$16^2+63^2=x^2\\256+3969=x^2\\4225=x^2\\x=\sqrt4225}\\x=65$