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**Question 1: ****What is curl of the vector field 2x ^{2}yi + 5z^{2}j - 4yzk? [2019 : 1 Mark, Set-ll]**

(a) -14zi-2x^{2}k

(b) 6zi + 4x^{2}j - 2x^{2}k

(c) - 14zi + 6yj + 2x^{2}k

(d) 6zi - 8xyj + 2x^{2}yk

Answer:

Euclidean norm length

log y = logx/x

y maximum (or) minimum when,

is maximum (or) minimum

f(x + h) = f(x) + (x + h - x)

(0, 0) to (1, 1) line is y = x

tan 45° = In x + 1

1 = lnx + 1

⇒ Inx = 0

∴ x = 1

Putting x = 1 in the eq. of curve, we get y = 0.**Question 13: The divergence of the vector field V = x ^{2}i + 2y^{3}j + z^{4}k at x = 1, y = 2, z = 3 is _________. [2017 : 1 Mark, Set-II]**

By Chain rule,

Let e

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