Find the derivative of y with respect to x, t, or ?, as appropriate.y = (x2 - 2x + 8) ex
A. (x2 + 4x + 6) ex
B. 
ex
C. (x2 + 6) ex
D. (2x - 2) ex
Answer: C
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Determine whether the given function satisfies a Laplace equation.f(x, y) = e-7ysin -7x
A. Yes B. No
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.
- 
What will be an ideal response?
The estimated number of computers (in millions) connected to the Internet in Europe from 1998 through 2002 is summarized in the accompanying table:
Year, x01234Net-Connected Computers, y21.732.145.058.369.6?
(Here, 
corresponds to the beginning of 1998.)Find an equation of the least-squares line for these data. Use the result to estimate the projected number of computers connected to the Internet in Europe at the beginning of 2005, assuming the trend continues. Round your answer to three decimal places.
?
A. 
million computers
B. 
million computers
C. 
million computers
D. 
million computers
Find the second-order partial derivative.Find fxy when f(x,y) = 10x2y4 - 7x3y5.
A. 80xy3 - 21x2y4 B. 160xy3 - 21x2y4 C. 160xy3 - 105x2y4 D. 80xy3 - 105x2y4