Find the gradient vector field of the scalar function f. (That is, find the conservative vector field F for the potential function f of F.)

f(x, y, z) = 8xy² + 2yz³


Mathematics

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Find an equation for the line tangent to the curve at the point defined by the given value of t.x = t + cos t, y = 2 - sin t, t =  

A. y = -x - ? + 2
B. y = -x + ? + 3
C. y = -x + 
D. y = x - ?

Mathematics

Use a graphing calculator to display the solution of the given inequality or system of inequalities.y < 

A.

B.

C.

D.

Mathematics

Find the mode or modes (if any).20, 44, 46, 44, 49, 44, 49

A. 46 B. 49 C. 44 D. 42.3

Mathematics

Find the value of the expression.16.5 ÷ 0.4(0.3) + (1.8)2

A. 15.615 B. 17.115 C. 20.215 D. 13.015

Mathematics