Find the particular solution to the difference equation 
?
What will be an ideal response?
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Find all the first order partial derivatives for the following function.f(x, y, z) = cos x sin2 yz
A. 
= -sin x sin2 yz; 
= z cos x sin yz cos yz; 
= y cos x sin yz cos yz
B. 
= -sin x sin2 yz; 
= 2z cos x sin yz cos yz ; 
= 2y cos x sin yz cos yz
C. 
= sin x sin2 yz; 
= -2z cos x sin yz cos yz; 
= - 2y cos x sin yz cos yz
D. 
= sin x sin2 yz; 
= - cos x sin yz cos yz; 
= -cos x sin yz cos yz
Solve the problem.The half-life of an element is 4.2 × 1011 yr. How long does it take a sample of the element to decay to 
of its original mass? Use 
where A0 is the initial amount, T is the half-life, and t is the time. (Express results in scientific notation, rounded to the nearest hundredth.)
A. 1.49 × 1011 yr B. 7.66 × 1010 yr C. 3.22 × 1011 yr D. 3.10 × 1011 yr
Solve the problem.A new exhibit is scheduled to open at the local museum. Museum officials expect that 9000 people will visit the exhibit in its first week, and that the number of visitors will drop by 20 people per week after the first week during the first 6 months. Find the total number of visitors expected in the exhibit's first 7 weeks.
A. 53,700 visitors B. 62,580 visitors C. 62,460 visitors D. 44,700 visitors
Perform the indicated operation and write your answer in standard form.
A. 6 - 4i
B. 6 + 4i
C. 6 - 
i
D. 6 + 
i