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
Answer:
D
Step-by-step explanation:
x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x
with our equation being y = 5x + 5
hope this helps <3
Answer:y=3x+6
Step-by-step explanation:
Answer:
x<12
Step-by-step explanation:
Let's solve your inequality step-by-step.
−3<
x/
−4
Step 1: Simplify both sides of the inequality.
−3<
−1/
4
x
Step 2: Flip the equation.
−1/
4
x>−3
Step 3: Multiply both sides by 4/(-1).
(
4/
−1
)*(
−1/
4
x)>(
4
/−1
)*(−3)
x<12
Answer:
x<12
