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) = 
Learn more about vector functions at brainly.com/question/28479805
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Answer:
see explanation
Step-by-step explanation:
Assuming you are factoring the expression
Given
4y² + 26y + 30 ← factor out 2 from each term
= 2(2y² + 13y + 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.
product = 2 × 15 = 30 and sum = 13
the factors are 10 and 3
Use these factors to split the y- term
2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )
= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term
= (y + 5)(2y + 3)
Thus
4y² + 26y + 30
= 2(y + 5)(2y + 3)
Yes correct x is 48.02 here is why.
simplify 45.6/109.2 to 0.417582
multiply both sides by 115
simplify 0.417582 x 115 to 48.021978
switch sides
Answer: x = 48.021978
80+70=150
270/150=1.8 hours before the two trains are 270 miles apart
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