Determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases. T : P_2 → P_2 defined by

T(p(x)) = p(x) + p'(x)

If T is invertible, use the theorem below to find the inverse of T (attached).

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What is the image of c for a 90° counterclockwise rotation about a? (3, 7) (-1, 3) (7, 3)

Graph the line that represents a proportional relationship between d and t with the property that an increase of 33 units in t corresponds to an increase of 44 units in d. what is the unit rate of change of dd with respect to t? (that is, a change of 11 unit in t will correspond to a change of how many units in d? )