Option 4 is correct i.e. <span>The volume of the box is increasing at a rate of 192 cm^3/min.
</span>Given : Volume of the rectangular box = x²h
where x is edge and h is height.
The edge and the height are varying with time, therefore, we write,x = x(t)
h = h(t)
dh/dt = -3 and we shall calculate when x = 4, dx/dt = 2 and when h=15
V = x²h dV/dt = (2x × dx/dt × h) + (x² × dh/dt) dV/dt = 2×4×2×15 + (4)^2 ×(-3) dV/dt = 240 - 48
dV/dt = 192
Because dV/dt is positive, hence the volume is increasing
Umm is it a multiple choice question?
For
ax+by=c
slope=-a/b
perpendiculare lines have slopes that multiply to -1
so
2x+3y=9
slope=-2/3
-2/3 times what=-1
what=3/2
point slope form
the equation of a line that passes through the point (x1,y1) and the slope is m is
y-y1=m(x-x1)
slope=3/2
point i (8,5)
equation is
y-5=3/2(x-8)
converted to standard form
2y-10=3x-24
-3x+2y=-14
3x-2y=14
Answer:
9/(j-10)
Step-by-step explanation:
I CANT PUT A DIVIDED SIGN SO UH..
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Step-by-step explanation:
