1. Denote L(t) the length of a fish at time t, and assume the fish grows according to the von Bertalanffy equation dL dt = k(22 − L(t)) with L(0) = 3 : (a) (2 points) Solve this differential equation. (b) (1 point) Use your solution to determine k under the assumption that L(2) = 9. Must give an exact value/expression. (c) (1 point) Find limt→[infinity] L(t). What does this describe in our real world situation. 2. (3 points) Suppose f(x) = 1 (x+2)1/3 is approximated by a third order Taylor polynomial near x = −1. Find the maximum possible error of this approximation for x ∈ [−1, 0]. Write your answer as a fraction. 3. (3 points) Find the solution to the differential equation dy dx = 3x 2 (1 + y)e y with y0 = 0 when x0 = 2

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.  

(23*2)-12=x     x=34

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.