We need to find the height of the cylinder
pythagorean theorem
15 is the bottom leg (30/2=15)
17 is hypotonuse
b=height
15^2+b^2=17^2
225+b^2=289
minus 225 both sides
b^2=64
sqrt both sides b=8
Vcone=(1/3)hpir^2
d/2=r=30/2=15
h=8
V=(1/3)8pi15^2
V=(1/3)8pi225
V=8pi75
V=600pi
aprox pi=3.14159256
V=1884.955536 in^3
round if nececary
I'm assuming you're talking about the indefinite integral

and that your question is whether the substitution

would work. Well, let's check it out:



which essentially brings us to back to where we started. (The substitution only served to remove the scale factor in the exponent.)
What if we tried

next? Then

, giving

Next you may be tempted to try to integrate this by parts, but that will get you nowhere.
So how to deal with this integral? The answer lies in what's called the "error function" defined as

By the fundamental theorem of calculus, taking the derivative of both sides yields

and so the antiderivative would be

The takeaway here is that a new function (i.e. not some combination of simpler functions like regular exponential, logarithmic, periodic, or polynomial functions) is needed to capture the antiderivative.
Idk what are the possible answers
9514 1404 393
Answer:
y -4 = -1/3(x -9)
Step-by-step explanation:
The point-slope form of the equation for a line is useful for this.
y -k = m(x -h) . . . . . . . line through point (h, k) with slope m
You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...
y -4 = -1/3(x -9)
Answer:
68 feet square
Step-by-step explanation:
The rectangle with the maximum area for a given perimeter is a square. The perimeter of a square is 4 times the side length, so the side length of the square area will be ...
(272 ft)/4 = 68 ft
_____
<em>More formally ...</em>
You can let x represent the length of one side. Then the length of the other side for the given perimeter will be 136 -x, and the area will be the product ...
area = x(136 -x)
The area function is a quadratic with zeros at x=0 and x=136. The vertex (maximum area) will be at the value of x that is on the line of symmetry between these points, at their midpoint: x = (0 +136)/2 = 68. This value of x makes the rectangle a square.