Find the gradient field F of the function f.f(x, y, z) = x5y3 + 
A. F = (5x4 + 7x6)i + 3y2j + 
k
B. F = (5x4 + 7x6)i + 3y2j - 
k
C. F = 
i + 3x5y2j - 
k
D. F = 5x4y3i + 3x5y2j - 
k
Answer: C
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Provide an appropriate response.It can be shown that an ellipse with foci (c, 0) and (-c, 0) where the sum of the distances from any point (x, y) of the ellipse to the two foci is 2a has equation 
+ 
= 1. Use this result to find an equation of an ellipse with foci (3, 0) and (-3, 0), where the sum of the distances from any point of the ellipse to the two foci is 10.
A. x2 + y2 = 100
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Factor completely. If the polynomial is prime, state so.8m3 + 343n9
A. (2m + 7n3)(4m2 + 14mn3 + 49n6) B. (2m - 7n2)(4m2 + 14m2n3 + 49n6) C. (2m + 7n3)(4m2 - 14mn3 + 49n6) D. (2m + 7n2)(4m2 - 14m2n2 + 49n3)
Translate the percent statement to a proportion.0.9 is 22.5% of 4.
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Solve.A punch recipe calls for 7 gallons of juice. How many liters is that? Round to the nearest tenth of a liter.
A. 6.7 L B. 1.8 L C. 26.5 L D. 7.4 L