The initial value equation is 
<h3>How to solve the initial value?</h3>
The equation is given as:
Where
Y(0) = 1
Subtract 2y from both sides in the equation
Rewrite as:
Integrate both sides of the equation
Multiply through by -2
Take the exponent of both sides
Next, we solve for C under the initial condition Y(0) = 1.
This gives
Evaluate
-2 + 3 = C
Solve for C
C = 1
Substitute C = 1 in
Next, we solve for y
Hence, the initial value equation is
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Answer:
I think its c
Step-by-step explanation:
Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.
The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.
The maximum profit the company can make is $640,000.
Answer:
a) 8*88*10⁻⁶ ( 0.00088 %)
b) 0.2137 (21.37%)
Step-by-step explanation:
if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then
P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)
where
n= total number of questions= 25
p= probability of getting a question right = 1/4
then
a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)
b) P(x<5)= F(5)
where F(x) is the cumulative binomial probability distribution- Then from tables
P(x<5)= F(5)= 0.2137 (21.37%)
