Answer:
26.230 Inches per second.
Step-by-step explanation:
Since, Area of square is decreasing at the rate of 43 square inches per second And area is directly proportional to square of the side , So
Its side will be decreasing at the rate of [tex]\sqrt{43}[/tex] inches per second .
Now,
Perimeter of square is directly proportional to 4 times of the side of the square.
so Perimeter of square will be decreasing at the rate of 4× [tex]\sqrt{43}[/tex]
After rounding off to three decimal places we will get 26.230 Inches per second.
Answer: -12.286 in/sec
Step-by-step explanation:
Differentiate A=s^2 to get d(A)/d(t) = 2s * d(s)/d(t).
Plug in -43 for d(A)/d(t) since it is the rate of change for area. Plug in 7 for s since it is the value of the side length. -43 = 2(7) * d(s)/d(T).
d(s)/d(T) equals -3.0714286
Differentiate P=4s to get d(P)/d(t) = 4 * d(s)/d(t)
Plug in -3.0714286 to d(P)/d(t) = 4 * d(s)/d(t).
d(P)/d(s)= -12.286 in/sec
