Answer:
A The data is proportional and the unit rate per package is $8 This is because y= 8x
Step-by-step explanation:
/y relationship is no of packages = 1 x/ = total cost to ship = 8 = 8/1 = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8 y = 8x see graph attached
Answer:
4. °
Step-by-step explanation:
Given:
The tangent of the angle is given as:
Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.
-212° when measured from counter clockwise direction will be equal to:
Therefore, =
Now, we have the identity for tan as:
Here,
Therefore,
Hence, =
=
°
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,
