Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. = (y cos xy)(cos yz2);
= (z2 sin xy)(sin yz2)- (x cos xy)(cos yz2);
= 2(yz sin xy)(sin yz2)
B. = (y cos xy)(cos yz2);
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2);
= 2(yz sin xy)(sin yz2)
C. = (y cos xy)(cos yz2);
= (x cos xy)(cos yz2);
= -2(yz sin xy)(sin yz2)
D. = (y cos xy)(cosyz2);
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2);
= -2(yz sin xy)(sin yz2)
Answer: D
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A productivity model at the Handy Gadget Company is
?
?
where P is the number of gadgets the company turns out per month, x is the number of employees at the company, and y is the monthly operating budget in thousands of dollars. Because the company hires part - time workers, it uses anywhere between 43 and 53 workers each month, and its operating budget varies from $13,000 to $17,000 per month. What is the average of the possible numbers gadgets it can turn out per month? (Round the answer to the nearest 1,000 gadgets.)
?
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