Evaluate the Line Integral Along the Given Path A) $30 \sqrt { 13 }$

question 89

Multiple Choice

Evaluate the line integral along the given path. $$\int ( 4 x - 5 y ) d s \quad C : \overrightarrow { \mathbf { r } } ( t ) = 3 t \hat { \mathbf { i } } + 2 t \hat { \mathbf { j } } , \quad 0 \leq y \leq 6$$

• A) \(30 \sqrt { 13 }\)
• B) \(40 \sqrt { 13 }\)
• C) \(42 \sqrt { 13 }\)
• D) \(26 \sqrt { 13 }\)
• E) \(36 \sqrt { 13 }\)

---

Definitions:

Stimulants

Substances that increase alertness, attention, and energy by raising the levels of key chemicals in the brain and body.

Propensity

An inclination or natural tendency to behave in a certain way.

Blood Relative

A person who shares an ancestor with another, indicating a family connection by birth rather than marriage.

Addictive Parent

A term drawing attention to the challenges and dynamics within families where one or more parents have substance abuse issues.