Question

Evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$ using the Fundamental Theorem of Line Integrals. $\mathbf{F}(x, y) = e^{8x}\mathbf{i} + e^{8y}\mathbf{j}$ C: line segment from $(-1, -1)$ to $(0, 0)$

          Evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$ using the Fundamental Theorem of Line Integrals.

$\mathbf{F}(x, y) = e^{8x}\mathbf{i} + e^{8y}\mathbf{j}$

C: line segment from $(-1, -1)$ to $(0, 0)$

Evaluate 𝐅· d𝐫 using the Fundamental Theorem of Line Integrals.

𝐅(x, y) = e^8x𝐢 + e^8y𝐣

C: line segment from (-1, -1) to (0, 0)

Added by Lacey A.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Jessica Horn

Step 1

Step 1: Parameterize the curve C The line segment from (~1, -1) to (0, 0) can be parameterized as: r(t) = (1-t)(-1,1) + t(0,0) = (-1+t, t) where t varies from 0 to 1. Show more…

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