3 years ago

Evaluate the integral 1 / (x^2 + 9) ^3/2 dx.

Mathematics

1 answer:

tigry1 [53]3 years ago

8 0

Answer:

Step-by-step explanation:

cheese monkey nut

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2 1/3 −1.5x=12.3 please help me I'm really struggling need an answer ASAP.

Harrizon [31]

Answer:

-6.64

Step-by-step explanation:

since you need to find the value of x , but all values to one side and have x on the other .. meaning :

2 1/3 -12.3 = 1.5x

now that you have this find the decimal value of 2 1/3

which is 2*3 +1 = 7/3

in decimal form is 2.33333...

now subtract (2.3333.. - 12.3 ) / 1.5

x = -6.6444

to 3 sf = -6.64

7 0

3 years ago

Solve the differential equation.<br><br> (y^2 + xy^2)y' = 1

stira [4]

$(y^2 + xy^2)y' = 1 \ \Rightarrow\ (y^2 + xy^2)\frac{dy}{dx}= 1 \ \Rightarrow\\ \\
y^2(1 + x) \frac{dy}{dx} = 1 \ \Rightarrow\ y^2 dx = \frac{dx}{1 + x}\ \Rightarrow \\ \\
\int y^2 dx =\int \frac{dx}{1 + x} \ \Rightarrow\ \frac{1}{3}y^3 = \ln|1+x| + C\ \Rightarrow \\ \\
y^3 = 3 \ln|1 + x| + 3C\ \Rightarrow\ y = \sqrt[3]{3\ln|1+x| + K},\ \text{where $K = 3C$}
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