Put the equation in standard linear form.

Find the integrating factor.

Multiply both sides by
.

Now the left side the derivative of a product,

Integrate both sides.

On the right side, integrate by parts.

Solve for
.

Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The value of x is 
Step-by-step explanation:
From the question we are told that
The length of the vertical length is 
The length of the base leg is L = 330 + d units
The length of the bisecting line segment is h
The base angle is 
The angle between d and line segment is 
For the first angle

=> 
For the whole big triangle

=> 
So equating the both d

Substitute values




Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
Answer:
x-9
Step-by-step explanation:
"Less than" switches the way of the expression.
If the "less than" was not there it would have been:
9-x
"Less" means subtract so you would subtract x from 9.
Hope this helped!