Type the correct answer in each box. Use numerals instead of words. Consider the function. The values of and, rounded to the nearest hundredth, are and , respectively.

f(½) = 1.73

f(¼) = 1.32

Step-by-step explanation:

You will find the complete question attached as a picture alongside the solution.

y = f(x) =

When f(x) ⇒ f(½); that is, x = ½

y = =

y = 1.7320508076 ≈ 1.73

y = 1.73 (to the nearest hundredth)

When f(x) ⇒ f(¼); that is, x = ¼

y = =

y = 1.316074013 ≈ 1.32

y = 1.32 (to the nearest hundredth)

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)