Answer:
I think D is correct
Explanation:
C is decreasing function, probably worst
A is arctan -> in radian, the rate of increasing is very slow-> second worst
B(14) = ln(9*14) = 4.8
D(14) = sqrt(8+14^2)=14.2
Answer:
combining scientific knowledge, careful reasoning, and artistic invention in a flexible approach to problem-solving
Explanation:
Answer:
The percentage ductility is 35.5%.
Explanation:
Ductility is the ability of being deform under applied load. Ductility can measure by percentage elongation and percentage reduction in area. Here, percentage reduction in area method is taken to measure the ductility.
Step1
Given:
Diameter of shaft is 10.2 mm.
Final area of the shaft is 52.7 mm².
Calculation:
Step2
Initial area is calculated as follows:
![A=\frac{\pi d^{2}}{4}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cpi%20d%5E%7B2%7D%7D%7B4%7D)
![A=\frac{\pi\times(10.2)^{2}}{4}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cpi%5Ctimes%2810.2%29%5E%7B2%7D%7D%7B4%7D)
A = 81.713 mm².
Step3
Percentage ductility is calculated as follows:
![D=\frac{A_{i}-A_{f}}{A_{i}}\times100](https://tex.z-dn.net/?f=D%3D%5Cfrac%7BA_%7Bi%7D-A_%7Bf%7D%7D%7BA_%7Bi%7D%7D%5Ctimes100)
![D=\frac{81.713-52.7}{81.713}\times100](https://tex.z-dn.net/?f=D%3D%5Cfrac%7B81.713-52.7%7D%7B81.713%7D%5Ctimes100)
D = 35.5%.
Thus, the percentage ductility is 35.5%.
Answer:
A to C = 6.4 km
Explanation:
A to B = 4 km
B to C = 5 km
A to C = using pythagorean theorem
a² + b² = c²
a = A to B = 4
b = B to C = 5
c = A to C
c² = 4² + 5²
c = 6.4 km (A to C)