Write the sum using summation notation.30 + 42 + 54 + 66 + 78
A. 
B. 
C. 
D. 
Answer: B
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Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (z2 sin xy)(sin yz2) - (x cos xy)(cos yz2); fz(x, y) = 2(yz sin xy)(sin yz2) B. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = -2(yz sin xy)(sin yz2) C. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2); fz(x, y) = -2(yz sin xy)(sin yz2) D. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = 2(yz sin xy)(sin yz2)
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
Change the given polar coordinates (r, ?) to Cartesian coordinates (x, y).
A. (-2
, -2)
B. (-2, 2
)
C. (-2
, 2)
D. (2, 2
)
Assuming that the rate of inflation is 2% per year, the equation P = Po (1.02) t yields the predicted price P, in t years, of an item that presently costs Po. Find the predicted price of a $0.55 container of cocoa mix in 4 years.The choices are rounded to the nearest cent.
A. $1.25 B. $1.57 C. $0.30 D. $0.60 E. $0.92