Answer:
The radius is decreatsing at a rate 0.78 cm per second.
Step-by-step explanation:
We are given the following in the question:
![\dfrac{dl}{dt} = 0.7\text{ cm per second}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdl%7D%7Bdt%7D%20%3D%200.7%5Ctext%7B%20cm%20per%20second%7D)
Instant radius,r = 2 cm
Instant length,l = 9cm
The radius of the cylinder decreases.
Volume of cylinder =
![V =\pi r^2l](https://tex.z-dn.net/?f=V%20%3D%5Cpi%20r%5E2l)
Since the volume of the cylinder does not changes, we can write:
![\dfrac{dV}{dt}=0](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D0)
Rate of change of volume:
![\dfrac{dV}{dt} = \pi(2r\dfrac{dr}{dt}l + r^2\dfrac{dl}{dt})](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cpi%282r%5Cdfrac%7Bdr%7D%7Bdt%7Dl%20%2B%20r%5E2%5Cdfrac%7Bdl%7D%7Bdt%7D%29)
Puttiung values, we get
![0 = \pi(2(2)\dfrac{dr}{dt}(9) + (2)^2(0.7))\\\\\dfrac{dr}{dt}=-\dfrac{4\times 0.7}{4\times 9} \approx -0.78](https://tex.z-dn.net/?f=0%20%3D%20%5Cpi%282%282%29%5Cdfrac%7Bdr%7D%7Bdt%7D%289%29%20%2B%20%282%29%5E2%280.7%29%29%5C%5C%5C%5C%5Cdfrac%7Bdr%7D%7Bdt%7D%3D-%5Cdfrac%7B4%5Ctimes%200.7%7D%7B4%5Ctimes%209%7D%20%5Capprox%20-0.78)
Thus, the radius is decreatsing at a rate 0.78 cm per second.
Answer:
Solution given:
-2x²+7x-6=0
2x²-7x+6=0
Comparing above equation with ax²+bx+c
we get
a=2
b=-7
c=6
By using Vieta's theorem
X1+X2=
=![\frac{7}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B2%7D%20)
again
X1X2=
=
=3
The final price would be $35.10, hope this helps. :)
Answer:
y = - 4x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4 and c = - 1, thus
y = - 4x - 1 ← equation of line
Answer:
: A semi-circle is half of a circle. Area of semi-circle formula is derived from the formula of a circle. Hence the area of a semi-circle is just the half of the area of a circle. How to Find the Area of a Semicircle To find the area of a semi-circle, you need to know the formula for the
Step-by-step explanation:
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