(15 points) Suppose that f(x) = x4 – 7x3. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'.
(B) Use interval notation to indicate where f(x) is increasing.
Note: Use 'INF' for o, '-INF' for -00, and use 'U' for the union symbol.
Increasing:
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:
(D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'.
x values of local maximums =
(E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE'.
x values of local minimums = (F) Use interval notation to indicate where f(x) is concave up.
Concave up:
(G) Use interval notation to indicate where f(x) is concave down.
Concave down:
(H) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'.
x values of inflection points =
(1) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below.

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

What properties allow transformation to be used as a problem solving tool

Your client has saved $1,860 for a down payment on a house. a government loan program requires a down payment equal to 3% of the loan amount. what is the largest loan amount that your client could receive with this program