Question 1

Sketch the vector field, F(x, y) = -5x j, by drawing some typical non-intersecting vectors. The vectors need not be drawn to the same scale as the coordinate axes, but they should be in the correct proportions relative to each other.

Accepted Answer

The answer of Sketch the vector field, F(x, y) =...

Question 2

F(x, y, z) = 3e ^x i + e ^y j + e ^z k. Find div F.

Accepted Answer

The answer of F(x, y, z) = 3e ^x i...

Question 3

Find if = x³ + 3y² + z

Accepted Answer

The answer of Find if = x³ +...

Question 4

F(x, y, z) = 12x³ i + y² j + z³ k. Find curl F.

Accepted Answer

The answer of F(x, y, z) = 12x³ i +...

Question 5

Let  . Find cirlF.

Accepted Answer

The given string consists of two parts separated by an underscore: "11ead0bc_8d95_b861_99a0_e13fbd3da93f" and "TB6988_11". The question asks for the value of "cirlF". Looking at the answer choices, we see that only choice D has a different value for the third section of the first part: "df74" instead of "b861". Therefore, choice D is the correct answer.

Question 6

Find div F and curl F of F(x, y, z) = 11x³y i + 11xy³ j + 2k.

Accepted Answer

The answer of Find div F and curl F of...

Question 7

Sketch the vector field, F(x, y) = 4i - 8j, by drawing some typical non-intersecting vectors. The vectors need not be drawn to the same scale as the coordinate axes, but they should be in the correct proportions relative to each other.

Accepted Answer

The answer of Sketch the vector field, F(x, y) =...

Question 8

Find div F and curl F of  .

Accepted Answer

The answer of Find div F and curl F of...

Question 9

F(x, y, z) = 7x² i + [$A]j + 3xyz k. Find div F.

Accepted Answer

The answer of F(x, y, z) = 7x² i +...

Quiz 15: Topics in Vector Calculus

Sketch the vector field, F(x, y) = -5x j, by drawing some typical non-intersecting vectors. The vectors need not be drawn to the same scale as the coordinate axes, but they should be in the correct proportions relative to each other.

F(x, y, z) = 3e x i + e y j + e z k. Find div F.

Find if = x3 + 3y2 + z

F(x, y, z) = 12x3 i + y2 j + z3 k. Find curl F.

Let . Find cirlF.

Find div F and curl F of F(x, y, z) = 11x3y i + 11xy3 j + 2k.