Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Hello,
The correct answer is B.
Further explanation: The first step is to multiply 3 by 7. That gives you 21, then add 21+2. Then put your denominator at the bottom.
Workspace:
3 * 7
=21
21 + 2
=23/7
Answer: 350/12
I think 29 2/12 can be also true because they didn't simplify the 2/12 to 1/6.
Step-by-step explanation:
You'll have to use the basic formula for volume is length × width × height. The sample box has the area of 23 1/3 which is found by length x width. They give you the height 1 1/4. I am assuming you will need to multiply 23 1/3 by 1 1/4. You'll get 350/12.
If it's simplify further it will be 175/6 or 29 1/6 as a mixed fraction.
Answer:
5
Step-by-step explanation:
2x+10+3x-6=29
5x+4=29
5x=25
x=5
ABC
MIT
MEL
are right triangles
to solve this you can get help from
ThePythagorean Proposition
or use an useful app all in one calculator
