The function r(t) = 2 sin(t)i + 3j + 4 cos(t)k traces out: a. ellipse in the plane y = 3 with center (0, 3, 0) b. ellipse in the plane x + y = 6 with center(0,3,0) c. ellipse in the plane x = 3 with center (0, 3, 0) d. ellipse in the plane y = 3 with center (2, 1, 3) e. circle in the plane y = 3 with center (0, 3, 0)

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

how many friends does he have? i think some of the information got cut off in the problem.