Answer:
y(x) = c_1 e^(-1/(2 x^2))
Step-by-step explanation:
Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:
Solve for (dy(x))/(dx):
(dy(x))/(dx) = y(x)/x^3
Divide both sides by y(x):
((dy(x))/(dx))/y(x) = 1/x^3
Integrate both sides with respect to x:
integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx
Evaluate the integrals:
log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.
Solve for y(x):
y(x) = e^(-1/(2 x^2) + c_1)
Simplify the arbitrary constants:
Answer: y(x) = c_1 e^(-1/(2 x^2))
Step-by-step explanation: Lets estimate first to the nearest whole number.
15.8 kilograms estimated is 16 kg
17.42 kilograms estimated is 17 kg
16.28 kilograms estimated is 16 kg
Now add the estimated values, 16 + 17 + 16 = 49 kg
The estimate gives you the correct answer because it gives you an accurate reasonable amount in this problem.
WHEN GRAPHING
Step 1. Convert to y = mx + b
- Equation 1: y = 3x/2 - 16/2
- Equation 2: y = -5 - 2x
Step 2. Graph like normal
- Find zeros & plot
- Find y-intercept & plot
Step 3. Shade as indicated by the inequality symbol
- > or ≥ = above line
- < or ≤ = below line
Step 4. If ≤ or ≥ ONLY, then also shade the line
FOR THIS PROBLEM
1. Graph each equation
2. Shade ABOVE line for each
3. Shade line first equation as well
Hope this helps and God bless!
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -9 y_1= -3
m= 2 (the slope)
an equation in the point-slope form is : y +3 = 2(x+9)
means : y+3 =2x +18
an equation in slope-intercept id : y=2x+15
Answer:
The answer is D
Step-by-step explanation:
