Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) f(x) = sin(x) − 5 0 < x < 2π

Increasing: (0, pi/2), (3pi/2, 2pi)

Decreasing: (pi/2, 3pi/2)

Step-by-step explanation:

f(x)=sin(x)-5

f'(x)=cos(x)

cos(x)=0

x=pi/2, 3pi/2 CRITICAL NUMBERS

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: