Answer:
\int\limits^{\pi/2} _0 (1+4cos^{2} (2x)dx
Step-by-step explanation:
Arc length is calculated by dividing the arcs in to small segments ds
By pythagoren theorem
then integrate ds to get arc length.
We are given a function as
y = sin 2x in the interval [0, pi/2]
To find arc length in the interval
Arc length
Hence arc length would be
B)
The type of equation is (a) consistent equations
<h3>How to determine the type of equation?</h3>The attached figure completes the question
From the graph, we can see that the two lines are not parallel and they do not represent the same line
This means that the lines are consistent
Consistent lines produce consistent equations
Hence, the type of equation is (a) consistent equations
Read more about equation types at:
#SPJ1
Answer:
The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is
Step-by-step explanation:
We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.
The equation will be of form where m is slope and b is y-intercept.
Finding slope of the line:
Since both the lines are parallel, and we know that parallel lines have same slope.
The slope of given line can be found by writing in slope-intercept form
Comparing with the slope m is:
So, the slope of required line is:
Now, finding y-intercept b
y-intercept can be found using slope and point (8,-7)
So, we get y-intercept: b=3
Now, the equation of required line having slope and y-intercept b=3 is:
So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16