
by using the integration formula
we get,

now put the value of t=\sin\theta in the above equation
we get,

hence proved
The true option about the solution to the system of inequalities shown is B. The second line has a positive slope and goes through (0, negative 3) and (1, 0).
<h3>
How to explain the inequality?</h3>
Plot these ordered pairs on a coordinate plane and connect them by straight lines.
The sign of both inequalities is "<"which means both lines are dotted and everything below the lines is shaded.
From the below graph it is clear that all values are satisfied.
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Y = mx + b is the slope-intercept form of the equation of a line,
where m = slope, and b = y-intercept.
In problems 1 and 3, your equations are written in the y= mx + b form, so you can read the slope and y-intercept directly.
1.
m = -5/2
b = -5
3.
m = -1
b = 3
5.
For problem 5, you need to solve for y to put the equation
in y = mx + b form. Then you can read m and b just like we did
for problems 1 and 3.
4x + 16y = 8
16y = -4x + 8
y = -4/16 x - 8/16
y = -1/4 x - 1/2
m = -1/4
b = -1/2