Solve the problem.The production function for a certain country is z = x0.6y0.7, where x stands for units of labor and y for units of capital. At present, x is 40 and y is 54. Use differentials to estimate the change in z if x becomes 43 and y becomes 58.
A. 14.46
B. 12.52
C. 16.69
D. 14.76
Answer: A
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A certain tree grows by 2/t + e(-t2/2) feet per year, where t is the time in years. Use the trapezoidal rule with whole year intervals to estimate the total growth during the stated time interval.From t = 1 to t = 6
A. 4.516 ft B. 5.012 ft C. 5.286 ft D. 4.183 ft
Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using l'Hopital's rule. Show each step of your calculation.
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What will be an ideal response?
Find the variation equation for the variation statement.y varies inversely as the square of x; y = 4 when x = 2
A. y = 
B. y = 
C. y = 
D. y = 
Find the approximate change in z when the point 
changes from 
to 
.
?
; from 
to 
?
A. -0.004
B. ?0.002
C. ?-0.04
D. ?0.004
E. ?-0.008