Answer:
Area = 32/3
Step-by-step explanation:
x = u
²
y = uv
z = 12v
²
0 ≤ u ≤ 2
0 ≤ v ≤ 1
Since ru = <2u, v, 0> and rv = <0, u, 24v>, we have
Where ru is the differentiation of x, y, z with respect to u and rv is the differentiation of x, y, z wit respect to v.
we find the cross product of ru and rv
ru × rv = 24v²i - 48uv²j + 2u²k
absolute value of ru × rv = 2u² + 24v²
We can now find the area
∫₀² du ∫₀¹ dv (2u² + 24v²) = ∫₀² du [2u²v + 8v³]₀¹ = 32/3
Detailed description can be found in the attachment
Answer:
Step-by-step explanation:
The basic graph of y = Sin(x), starts at x = 0.
Looking at the graph, the basic sin curve starts at x = π/4
So this function is the parent sin function shifted π/4 units to the right.
<u>Note:</u>
y = Sin(x-a) is the parent function ( y= Sinx) shifted a units right
y = Sin(x+a) is the parent function shifted a units left
<em>Since this function is shifted </em>π/4 units right, the equation would be:
y = Sin (x-π/4)
The third answer choice is right.
Answer:
11 11/12
Step-by-step explanation:
its approximately 12
An equation for the sentence would be g + 7 = 12, where g is the unknown number of gallons.
Given:
Cost of four lines = $125
Cost of each additional line = $15
Jason wants to spend at most $200 per month on cell phone expenses.
To find:
The inequality for the given situation.
Solution:
Let 
be the number of additional line.
Cost of one additional line = $15
Cost of additional line = 
Total cost = Fixed cost + Addition cost
= 
It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.
Therefore, the correct option is C.
