3m^3 3 + 4f + 4 + 2f + 2f^2 2 + 1

Mathematics

1 answer:

damaskus [11]2 years ago

6 0

Answer:

33m^33+2f^22+6f+5

Step-by-step explanation:

this is the answer for if you are supposed to be simplifying :)

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If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

If BY = 6, YC = 10, AX = 18, then XC = a: 10.8 b:5 c:30 d:48

vampirchik [111]

To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,

BY/YC = AX/XC

Substituting the known values,

6/10 = 18/XC

The value of XC from the equation is 30. The answer is letter C.

3 0

2 years ago

Read 2 more answers

Can someone help me with this pls

Oksi-84 [34.3K]

Answer:

x = 1/3 or x = -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

9x2+3x−2=0

For this equation: a=9, b=3, c=-2

9x2+3x+−2=0