Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 sin(x) + 5 cos(x), 0 ? x ? 2? (a) find the interval on which f is decreasing. (enter your answer using interval notation.)

Step-by-step explanation:

Step 1: Create a table

x    |   5sinx + 5cosx = y

0    |       0    +     5     =   5

  |        5    +     0    =   5

π    |        0    +    -5    =  -5

   |       -5    +     0    =  -5

2π |        0    +      5    =   5

Notice that y = 5 at 0 and , so there will be a vertex at their midpoint.  Similarly at y = -5.

Midpoint of 0 and  is . Midpoint of π and is

(graph is attached to confirm interval)

30

step-by-step explanation:

times by times

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29