Answer:
8
Step-by-step explanation:
y=f(x)=2^3
y=f(x)=8
The vector function is, r(t) = 
Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.
First surface is the paraboloid, 
Second equation is of the parabolic cylinder, 
Now to find the intersection of these surfaces, we change these equations into its parametrical representations.
Let x = t
Then, from the equation of parabolic cylinder,
.
Now substituting x and y into the equation of the paraboloid, we get,

Now the vector function, r(t) = <x, y, z>
So r(t) = 
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3.25 is rounded to the nearest thousandth
Answer:
yes
Step-by-step explanation:
The expression that represents the amount mother spent is 4 × 5.00 + 2.00.
This outing will cost $22.00.
Solution:
Number of members in a family = 4
Cost of one ticket = $5.00
Cost of soft drink = $2.00
Mother spent = Number of members × Cost of each ticket + Cost of soft drink
= 4 × 5.00 + 2.00
The expression that represents the amount mother spent is 4 × 5.00 + 2.00.
To solve this expression using PEDMAS rule.
First do multiplication.
4 × 5.00 + 2.00 = 20.00 + 2.00
Now do addition.
4 × 5.00 + 2.00 = 22.00
Hence this outing will cost $22.00.