9514 1404 393
Answer:
a, c
Step-by-step explanation:
The vertex is at x=1 and the parabola opens downward, It is increasing for all values of x < 1, and decreasing for all values of x > 1.
The answer choices divide the increasing interval into two parts:
x < 0 . . . . . . . 1st choice
0 < x < 1 . . . . 3rd choice
Parameterize this surface (call it
) by

with
and
. The limits on
should be obvious. We find the upper limit for
by solving for
where the sphere and cone intersect:




Take the normal vector to
to be

(orientation does not matter here)
Then the area of
is



Answer:
Range remains the same.
Step-by-step explanation:
(1,3),(-2,1),(-5,-1) and (1,-2)
f = twenty bill
f = fifty bill
f + t = 18(gave total 18 bills) and 50f + 20t = 450 ($450 cash a check)
Answer is B.
f + t = 18 ; 50f + 20t = 450
V = x³ - 6x²y + 12xy² - 8y³
V = (x - 2y)³
= (x - 2y)(x - 2y)(x - 2y) ( expand first pair of factors )
= (x² - 4xy + 4y²)(x - 2y) ( multiply terms in first by terms in second )
= x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( collect like terms )
= x³ - 6x²y + 12xy² - 8y³