Answer:
The answer to your question is the second choice (y ≥ 1/3x - 1)
Step-by-step explanation:
Process
1.- Find two points of the graph
A (0, -1)
B (3, 0)
2.- Find the slope
m = (0 + 1)/(3 - 0)
m = 1/3
3.- Find the equation of the line
y - y1 = m(x - x1)
y + 1 = 1/3(x - 0)
y + 1 = 1/3x
y = 1/3x - 1
4.- Find the equation of the inequality
We need the upper part of the line so the inequality must be
y ≥ 1/3x - 1
Answer:
0.
Step-by-step explanation:
1) y'=(x⁴)'=4x³;
2) ∡ y'=0, ⇒ 4x³=0; ⇒ x=0.
Answer:
DA/dt = 75.27 cm²
Step-by-step explanation:
Cube Volume = V(c) = 683 cm³
DV(c) /dt = 824 cm³
V(c,x) = x³
Then
DV(c,x)/ dt = 3x² Dx/dt
( DV(c,x)/ dt )/ 3x² = Dx/dt (1)
Now as V(c,x) = x³ when V(c,x) = 683 cm³ x = ∛683
x = 8.806 ( from excel)
And by subtitution of this value in equation (1)
Dx/dt = ( DV(c,x)/ dt )/ 3x² ⇒ Dx/dt = 824 / 3*x²
Dx/dt = 824 /3*77.55
Dx/dt = 824/232,64
Dx/dt = 3,542
Then we got Dx/dt where x is cube edge. The area of the face is x² then
the rate of change of the suface area is
DA/dt = ( Dx/dt )²*6 ( 6 faces of a cube)
DA/dt = (3.542)²*6
DA/dt = 75.27 cm²
Using: A^2+b^2=c^2
A&b= (√10)^2=10
10+10=c^2
20=c^2
(take the square root of 20)
c=2√5
Your answer is D
Answer: D
Step-by-step explanation:
