If a mass m is placed at the end of a spring, and if the mass is pulled downward and released, the mass-spring system will begin to oscillate. the displacement y of the mass from its resting position is given by a function of the form y(t)equalsc 1 cosine omega t plus c 2 sine omega t, where omega is a constant that depends on the spring and the mass. show that the set of all functions of this form (with omega fixed and c 1 and c 2 arbitrary) is a vector space.

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

i believe it's a.

i'm not sure on this one, most likely correct.