Find the gradient field of the function.f(x, y, z) = z sin (x + y + z)
A. ?f = -cos xi - cos yj + (sin z - z cos z)k
B. ?f = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k
C. ?f = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k
D. ?f = cos xi + cos yj + (sin z + z cos z)k
Answer: B
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Assume that the sequence converges and find its limit.a1 = 4, an + 1 =
A. -4 B. 16 C. 4 D. 1
Find the equation for the tangent to the curve at the given point.f(x) = - 2;
A. y = -7x - 9
B. y = - x +
C. y = x + 1
D. y = x +
Provide an appropriate response.Graph the equations y = 4x - 1 and y = - x + 2 on the same set of axes. These are perpendicular lines. Define perpendicular. How might one determine that these lines were perpendicular by examining the equations, but without actually graphing them?
What will be an ideal response?
Provide an appropriate response.Solve the following absolute value inequality: > 5
Fill in the blank(s) with the appropriate word(s).