1.7 = 1 7/10 = 17/10
3 2/10 = 32/10
32/10 - 17/10 = 15/10 = 1 5/10 = 1.5 feet above ground
Answer:
Since stress is greater than ultimate strength, the wire will break.
Step-by-step explanation:
The titanium wire is experimenting an axial load. Ultimate strength equals
. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (
), measured in pascals, in the wire with circular cross-section is:
(1)
Where:
- Axial force, measured in newtons.
- Cross-section diameter, measured in meters.
Please notice that axial force is the weight of the man hanging from wire.
If we know that
and
, then the axial stress experimented by the titanium wire is:


Since stress is greater than ultimate strength, the wire will break.
Answer:
A
Step-by-step explanation:
Hello There!
The y value of ABC was subtracted by 7 to get to the figure A'B'C'
So the rule for the given transformation would be
(x,y) ---> (x,y-7)
Answer:
9. It seems he was inactive/taking a break, as the line is completely straight.
I'm not sure about the others, but I hope that helps!
Step-by-step explanation:
The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.
Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is
π (radius) (height) = π (1/y)² ∆y = π/y² ∆y
and the volume of a stack of n such disks is

where
is a point sampled from the interval [1, 5].
As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,

