Answer:
Z = a - 2i - 3ib
Step-by-step explanation:
The complex conjugate has the expression with the opposite sign for the imaginary part.
Complex conjugate of Z=a + 2i + 3ib is,
Z = a - 2i - 3ib
The trick here is to use an appropriate substitution. Let u=a^3.
Then du/da=3a^2, and du=3a^2da.
We can now make two key substitutions: In (3a^2)da/(1+a^6), replace 3a^2 by du and a^6 by u^2.
Then we have the integral of du/(1+u^2).
Integrating, we get arctan u + c. Substituting a^3 for u, the final result (the integral in question) is arctan a^3 + c.
Check this by differentiation. if you find the derivative with respect to a of arctan a^3 + c, you MUST obtain the result 3a^2/(1+a^6).
Answer:
19.) must add 9.02 to both sides the answer will be n= 12.87
20.) must subtract 31.53 from 62.4 but add a zero behind the 4 in the number 62.4 and the answer will be r=30.87
22.) Jake needs about 2.21 meters of wood to complete the school project.
Step-by-step explanation:
Answer:
14.4913767
Step-by-step explanation:
Answer:
59049
Step-by-step explanation:
