Consider the following two statements and choose the correct answer. (i) If f(x)f(x) is continuous at x=ax=a, then f(x)f(x) is differentiable at x=ax=a.

(ii) For every fixed constant cc, the (natural) domain of f(x)=3x+ln(x−c)f(x)=3x+ln⁡(x−c) is [c,∞)[c,∞).

Ahiking trail is 6 miles long. it has 4 exercise stations, spaced evenly along the trail. what is the distance between each exercise station?

The administrator of a large assisted living facility wanted to know the average age of the residents living at the facility. he randomly selected 12 residents and determined their age, listed here: 80, 65, 75, 83, 68, 73, 88, 79, 94, 72, 79, 68 what's the average age of the sample of residents? a. 79 years old b. 68 years old c. 75 years old d. 77 years old

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.