Calculate the Line Integral Along Starting at the Point $( 3,5 )$

question 45

Multiple Choice

Calculate the line integral along $\int \mathbf { F } \cdot d \mathbf { r } \text { for } \mathbf { F } ( x , y ) = 3 y \mathbf { i } + 5 x ^ { 2 } \mathbf { j } \text { and } C \text { is any path }$ starting at the point $( 3,5 )$ and ending at $( 8,0 )$ .

• A) \(\frac { 10,150 } { 3 }\)
• B) \(- 25\)
• C) \(- 50\)
• D) 120
• E) \(- \frac { 10,565 } { 6 }\)

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Definitions:

Cranial Nerve

One of twelve pairs of nerves that originate in the brain and primarily serve the head and neck (except the vagus nerve which extends to the abdomen).

Optic Nerve

A cranial nerve that transmits visual information from the retina to the brain.

Choroid

A layer of the eye between the retina and the sclera, rich in blood vessels, supplying nutrients to the eye's inner parts.

Retina

The inner layer of the eye sensitive to light, where the conversion of light images to nerve signals that are sent to the brain occurs.