3. consider the transformation, t: p1 p2 defined by tax +b) = ax^2 + ax +a (a) show that t is a linear transformation. (b) find the image of 2.0 +1. (c) find another element of p, that has the same image. (d) is t a one-to-one transformation? why or why not? (e) find ker(t) and determine the basis for ker(t). what is the dimension of kernel(t)? (f) find range(t) and determine a basis for range(t). what is the dimension of range(t)?

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.