Find an equation of the line containing the pair of points.(x, 9x + 4) and (x + h, 9(x + h) + 4)
A. y = -9x - 4
B. y = x
C. y = 9x + 4
D. y = x - 4
Answer: C
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Find all the first order partial derivatives for the following function.f(x,y,z) = xe(x2 + y2 + z2)
A. = (1 + 2x2) e(x2 + y2 + z2);
= 2xye(x2 + y2 + z2);
= 2xze(x2 + y2 + z2)
B. = 2x2e(x2 + y2 + z2);
= xye(x2 + y2 + z2);
= 2xze(x2 + y2 + z2)
C. = (1 + 2x2) e(x2 + y2 + z2);
= xe(x2 + y2 + z2);
= xe(x2 + y2 + z2)
D. = (1 + 2x2) e(x2 + y2 + z2);
= xy2e(x2 + y2 + z2);
= xz2e(x2 + y2 + z2)
Solve the problem.In September 1998 the population of the country of West Goma in millions was modeled by At the same time the population of East Goma in millions was modeled by
In both formulas x is the year, where
corresponds to September 1998. Assuming these trends continue, estimate the year when the population of West Goma will equal the population of East Goma.
A. 2016 B. 21 C. 2019 D. 1977
Solve.A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains.
A. 20 mph B. 40 mph C. 50 mph D. 80 mph
Factor the trinomial completely.12m2n2 - 47mn + 40
A. (4mn - 5)(3mn - 8) B. (4m2 - 5)(3n2 - 8) C. (4mn - 5)(3mn + 8) D. (4mn + 5)(3mn + 8)