Step-by-step explanation:
The first expression is :
Numerator = -11×2 = -22
Denominator = 3
So, answer will be :
(negative)
The second expression is:
Numerator = -11×-2 = 22
Denominator = 3
So, the answer will be :
(positive)
Hence, this is the required solution.
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
Answer:
true
Step-by-step explanation:
Answer:
126.
Step-by-step explanation:
Each rectangle is a step. We'll start with the top one. This is simple: 6 times 3.
The farthest left is 5 times 3.
The crossed one is 6 times 5.
The one to the right of the crossed one is 3 times 5, again.
The farthest right is 6 times 5, again.
The bottom one is 6 times 3, again.
Now, we add.
lines with undefined slope are vertical
equation are in form of x constant
through the points ( 3 , -4)
the line is x=3
