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Naya [18.7K]
3 years ago
9

This question has two parts. First, answer Part 1. Then, answer Part 2.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0
The answer will be a
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The slope of the line in the graph is 4. Fill in the y intercept. Choose the correct equation in the form y = mx + b The y inter
nikitadnepr [17]

Answer:

\rm\implies y = 4x + 3

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u>

  • The slope of the line in the graph is 4.

And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .

<u>Slope</u><u> Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y = mx + c

<u>Substituting</u><u> the</u><u> respective</u><u> values</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies y = 4*x + 3 \\\\\rm\implies y = 4x + 3

<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> </u><u>line </u><u>is </u><u>y </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u>

7 0
3 years ago
Dy/dx = (cos x) e^(y+sinx) and y = 0 when x = 0. find the original equation
Korvikt [17]
Find the general solution by separating the variables then integrating: 
dy / dx = cosx℮^(y + sinx) 
dy / dx = cosx℮ʸ℮^(sinx) 
℮^(-y) dy = cosx℮^(sinx) dx 
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx 
-℮^(-y) = ℮^(sinx) + C 
℮^(-y) = C - ℮^(sinx) 
-y = ln[C - ℮^(sinx)] 
y = -ln[C - ℮^(sinx)] 

Find the particular solution by solving for the constant: 
When x = 0, y = 0 
-ln(C - 1) = 0 
ln(C - 1) = 0 
C - 1 = 1 
C = 2 
<span>y = -ln[2 - ℮^(sinx)]


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
3 0
3 years ago
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