<u>Explanation</u>:
(a)
![f=A+A B+A C\\=A[1+B+C]=A \quad[1+x=1]\\F=A](https://tex.z-dn.net/?f=f%3DA%2BA%20B%2BA%20C%5C%5C%3DA%5B1%2BB%2BC%5D%3DA%20%5Cquad%5B1%2Bx%3D1%5D%5C%5CF%3DA)
No gate is required to implement this function
(b)
Note: Refer the first image.
(c)
![\begin{aligned}f &=\overline{A+B}+A \bar{B}+B \bar{C} \\&=(\bar{A} \bar{B})+A \bar{B}+B \bar{C} \\&=\bar{B}[A+\bar{A}]+B \bar{C} \\& F=\bar{B}+B \bar{C} =\bar{B}+\bar{C}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Df%20%26%3D%5Coverline%7BA%2BB%7D%2BA%20%5Cbar%7BB%7D%2BB%20%5Cbar%7BC%7D%20%5C%5C%26%3D%28%5Cbar%7BA%7D%20%5Cbar%7BB%7D%29%2BA%20%5Cbar%7BB%7D%2BB%20%5Cbar%7BC%7D%20%5C%5C%26%3D%5Cbar%7BB%7D%5BA%2B%5Cbar%7BA%7D%5D%2BB%20%5Cbar%7BC%7D%20%5C%5C%26%20F%3D%5Cbar%7BB%7D%2BB%20%5Cbar%7BC%7D%20%3D%5Cbar%7BB%7D%2B%5Cbar%7BC%7D%5Cend%7Baligned%7D)
Note: Refer the second image
(d)
![\begin{aligned}f=& A B \bar{c}+\overline{A+\bar{c}} \\=& A B \bar{c}+\bar{A} \bar{c}=\bar{A} B \bar{c}+\bar{A} c \\f=& \bar{A}[c+B \bar{c}] . \\& f=\bar{A} B+\bar{A} c=\bar{A}(B+c)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Df%3D%26%20A%20B%20%5Cbar%7Bc%7D%2B%5Coverline%7BA%2B%5Cbar%7Bc%7D%7D%20%5C%5C%3D%26%20A%20B%20%5Cbar%7Bc%7D%2B%5Cbar%7BA%7D%20%5Cbar%7Bc%7D%3D%5Cbar%7BA%7D%20B%20%5Cbar%7Bc%7D%2B%5Cbar%7BA%7D%20c%20%5C%5Cf%3D%26%20%5Cbar%7BA%7D%5Bc%2BB%20%5Cbar%7Bc%7D%5D%20.%20%5C%5C%26%20f%3D%5Cbar%7BA%7D%20B%2B%5Cbar%7BA%7D%20c%3D%5Cbar%7BA%7D%28B%2Bc%29%5Cend%7Baligned%7D)
Note: Refer the third image
(e)
![\begin{aligned}f=& A \bar{B}+\bar{B} C+A \bar{B} \\&=\bar{B}[A+\bar{A}+c] \\&=\bar{B}[1+C]\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Df%3D%26%20A%20%5Cbar%7BB%7D%2B%5Cbar%7BB%7D%20C%2BA%20%5Cbar%7BB%7D%20%5C%5C%26%3D%5Cbar%7BB%7D%5BA%2B%5Cbar%7BA%7D%2Bc%5D%20%5C%5C%26%3D%5Cbar%7BB%7D%5B1%2BC%5D%5Cend%7Baligned%7D)
(f)
![\begin{aligned}f &=A B C+A B D+A B C \\&=A B[C+C]+A B D \\&=A B+A B D \\&=B[A+A D] \\&=B[A+D] \\\therefore & A=B[A+D]\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Df%20%26%3DA%20B%20C%2BA%20B%20D%2BA%20B%20C%20%5C%5C%26%3DA%20B%5BC%2BC%5D%2BA%20B%20D%20%5C%5C%26%3DA%20B%2BA%20B%20D%20%5C%5C%26%3DB%5BA%2BA%20D%5D%20%5C%5C%26%3DB%5BA%2BD%5D%20%5C%5C%5Ctherefore%20%26%20A%3DB%5BA%2BD%5D%5Cend%7Baligned%7D)
Note: Refer the fourth image
Answer:
Highest temperature rise allowable = ΔT = 21.22°C
Highest allowable temperature = ΔT + 20 = 41.22°C
Explanation:
From literature, the coefficient of volume expansion of water between 20°C and 50°C = β = (0.377 × 10⁻³) K⁻¹
Volume expansivity is given by
ΔV = V β ΔT
ΔV = Change in volume
V = initial volume
β = Coefficient of volume expansion = (0.377 × 10⁻³) K⁻¹ = 0.000377 K⁻¹
ΔT = Change in temperature = ?
It is given in the question that maximum volume increase the tank can withstand is
(ΔV/V) × 100% = 0.8%
(ΔV/V) = 0.008
V β ΔT = ΔV
β ΔT = (ΔV/V)
β ΔT = 0.008
ΔT = (0.008/β)
ΔT = (0.008/0.000377)
ΔT = 21.22°C
Highest temperature rise allowable = ΔT = 21.22°C
Highest allowable temperature = ΔT + 20 = 41.22°C
Hope this Helps
Answer:
Explanation:
From the question we are told that:
Number of lamps 
Potential difference 
Total Resistance of the lamp is 
Generally the equation for Current I is mathematically given by
Answer:
Digestion
1 is correct since you need to eat something before anything else.
2 is incorrect since if this was first, what are you storing?
3 is incorrect since that is the second thing you need to do.
4 is incorrect since that is the last thing to do.
