Answer:
A
Step-by-step explanation:
Let x = Tan
dx = sec²
d
sqrt(1 +
) = sec
So I = Tan(theta) * sec(theta)
but Tan(theta) = sin(theta) / cos(theta) = sin(theta)*sec(theta)
So I = integral sin(theta)*sec^2(theta) d theta
Answer A
Answer:
Step-by-step explanation:
<h3>Equation of the line in slope- intercept form:</h3>

Here, m is the slope and b is the y-intercept
Find the slope with the given two points.


Slope = -2/3 and choose any one the given points.
Substitute m = -2/3 and (5,6) in the above equation and find 'b'

Equation of the line:

Answer:
V = πr²h
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
_____
<em>Comment on the formula</em>
This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...
V = Bh
where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...
B = πr²
Filling this into the volume formula gives ...
V = πr²h . . . . . as above
Answer:
2) 2x = y + 13
Step-by-step explanation:
We have to translate the given information into an equation. We don't know what the numbers are yet, so let the first number be represented by the variable x and the second number be represented by the variable y.
Start by breaking the sentence apart. "2 times the first number" gives us
. The "is" in the sentence means that
equals something, bringing us to
. Finally, it says "13 more than the second number." 13 more would mean you have to add to the second number, represented by y, so this gives us
. Put it all together and it is
.