g(θ) = 20θ − 5 tan θ
To find out critical points we take first derivative and set it =0
g(θ) = 20θ − 5 tan θ
g'(θ) = 20 − 5 sec^2(θ)
Now we set derivative =0
20 − 5 sec^2(θ)=0
Subtract 20 from both sides
− 5 sec^2(θ)=0 -20
Divide both sides by 5
sec^2(θ)= 4
Take square root on both sides
sec(θ)= -2 and sec(θ)= +2
sec can be written as 1/cos
so sec(θ)= -2 can be written as cos(θ)= -1/2
Using unit circle the value of θ is 
sec(θ)= 2 can be written as cos(θ)=1/2
Using unit circle the value of θ is 
For general solution we add 2npi
So critical points are
What equation are u talking about
The expression √(128x⁸y³z⁹) is equivalent to the expression 8x⁴yz⁴ √(2yz). Then the correct option is C.
The missing options are given below.
<h3>What is an equivalent expression?</h3>
The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ √(128x⁸y³z⁹)
Then the expression is given below.
⇒ √[(64 × 2)(x⁴)²(y²y)(z⁸z)]
⇒ 8x⁴yz⁴ √(2yz)
Then the correct option is C.
More about the equivalent link is given below.
brainly.com/question/889935
#SPJ1
Answer:
234.67 in³
Step-by-step explanation:
volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³
volume of half sphere = 523.33/2 = 261.67 in³
volume of cube = LWH = 3³ = 27 in³
261.67 - 27 = 234.67 in³
