Answer:
Product dissection has been widely deployed in engineering education as a means to aid in student's understanding of functional product elements, development of new concept ideas, and their preparation for industry.
Explanation:
I hope this helps :) have a wonderful day!
<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)
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
i believe the correct answer is c but i’m sorry if i’m not correct
Answer:
8.24μm
Explanation:
The theory of brittle fracture was used to solve this problem.
And if you follow through with the attachment made a the subject of the formula
Such that,
a = 2x(69x10⁹)x0.3/pi(40x10⁶)²
= 4.14x10¹⁰/5.024x10¹⁵
= 8.24x10^-06
= 8.24μm
This is the the maximum length of the surface flaw
Answer:
A. Yes
B. Yes
Explanation:
We want to evaluate the validity of the given assertions.
1. The first statement is true
The sine rule stipulates that the ratio of a side and the sine of the angle facing the side is a constant for all sides of the triangle.
Hence, to use it, it’s either we have two sides and an angle and we are tasked with calculating the value of the non given side
Or
We have two angles and a side and we want to calculate the value of the side provided we have the angle facing this side in question.
For notation purposes;
We can express the it for a triangle having three sides a, b, c and angles A,B, C with each lower case letter being the side that faces its corresponding big letter angles
a/Sin A = b/Sin B = c/Sin C
2. The cosine rule looks like the Pythagoras’s theorem in notation but has a subtraction extension that multiplies two times the product of the other two sides and the cosine of the angle facing the side we want to calculate
So let’s say we want to calculate the side a in a triangle of sides a, b , c and we have the angle facing the side A
That would be;
a^2 = b^2 + c^2 -2bcCosA
So yes, the cosine rule can be used for the scenario above