Answer:
-2/√3 atan ((2t + 1)/√3) + C
Explanation:
∫ (t − 1) / (1 − t³) dt
Factor the difference of cubes:
∫ (t − 1) / ((1 − t)(1 + t + t²)) dt
Divide:
∫ -1 / (1 + t + t²) dt
-∫ 1 / (t² + t + 1) dt
Complete the square:
-∫ 1 / (t² + t + ¼ + ¾) dt
-∫ 4 / (4t² + 4t + 1 + 3) dt
-∫ 4 / ((2t + 1)² + 3) dt
If u = 2t + 1, du = 2 dt:
-∫ 2 / (u² + 3) du
Use an integral table, or use trigonometric substitution:
-2 (1/√3) atan (u/√3) + C
-2/√3 atan (u/√3) + C
Substitute back:
-2/√3 atan ((2t + 1)/√3) + C
Answer:
Im pretty sure the answer is B
Explanation:
Paul will need to persuade his client of the benefits of the different filter.
Answer: 16 squared + 63 squared = x squared
Explanation:
Hi, since we have a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.
Replacing with the values given:
x^2 = 63^2 + 16^2
So, the correct option is
16 squared + 63 squared = x squared
Feel free to ask for more if needed or if you did not understand something.
Answer:
N=945.76 RPM
Explanation:
Given that
A= 0.15 m
Acceleration = 0.6 g
a=0.6 x 9.81 m/s²
a= 5.886 m/s²
We know that acceleration a given as
a = ω² A
ω=Angular speed

ω=99.04 rad/s
We know that


N=945.76 RPM
Therefore the speed of the motor will be 945.76 RPM.
Answer:
im so sorry I rlly need these points
Explanation: