403.2 cubed inches because 3 times 4 times 3.14 is 403.15 which rounds to 403.2
        
                    
             
        
        
        
The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.
<h3>What is a Function ?</h3>
A function is a law that relates a dependent variable and an independent variable with each other 
It is given that
y = 2tan (x - π/2) +3
To find the zeroes of a function that function has to be equated to zero.
 2tan (x - π/2) +3 = 0
 2tan (x - π/2)  = -3
 tan (x - π/2)  = -3/2
x - 90 = -56.31
x = 33.69 degree
The zero of the function is at 33.69 degree
For finding the maxima /minima
the derivative is
dy/dx = 2 sec² (x - π/2)
the point at which the slope is zero is substituted in the second derivative to find maxima/minima
d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)
if the value is negative then it is a maxima and if it is positive it is a minima.
The vertical asymptote is found by finding the values that make the function undefined
x = 0+ πn
No horizontal or oblique asymptote
To know more about Function
brainly.com/question/12431044
#SPJ1
 
        
             
        
        
        
Answer:
x ∉ R
Step-by-step explanation:
x² = - 21
if x² < 0 => x ∉ R
 
        
             
        
        
        
Answer:
14/33
Step-by-step explanation:
The total amount of beads is 8+4 = 12.  8 of these are black beads, so that is what we want, so 8/12 or 2/3.  For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11.  Multiply this by 2/3 and we get 14/33.
 
        
             
        
        
        
Answer:
x = 24, PR = 404, QS = 404
Step-by-step explanation:
PR and QS are both diagonals of the rectangle. The diagonals of a rectangle bisect each other and are of equal length. Thus, we can say:
PR = QS
18x - 28 = x + 380
Solving for x, we get:
18x - x = 380 + 28
17x = 408
x = 408/17
x = 24
Thus, PR = 18(24) - 28 = 404  and  QS = 24 + 380 = 404
Third choice is right.