Question

Evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$ using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results. $\int_C [8(4x + 3y)\mathbf{i} + 6(4x + 3y)\mathbf{j}] \cdot d\mathbf{r}$ C: smooth curve from $(-3, 4)$ to $(3, 2)$

Name: evaluate intc mathbff cdot dmathbfr using the fundamental theorem of line integrals use a computer algebra system to verify your results intc 84x 3ymathbfi 64x 3ymathbfj cdot dmathbfr c sm 12562
Uploaded: 2021-12-21T20:00:30-08:00
Duration: 2 min 15 s
Channel: Lucas Finney
Description: evaluate intc mathbff cdot dmathbfr using the fundamental theorem of line integrals use a computer algebra system to verify your results intc 84x 3ymathbfi 64x 3ymathbfj cdot dmathbfr c sm 12562

          Evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$ using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results.
$\int_C [8(4x + 3y)\mathbf{i} + 6(4x + 3y)\mathbf{j}] \cdot d\mathbf{r}$
C: smooth curve from $(-3, 4)$ to $(3, 2)$

evaluate intc mathbff cdot dmathbfr using the fundamental theorem of line integrals use a computer algebra system to verify your results intc 84x 3ymathbfi 64x 3ymathbfj cdot dmathbfr c sm 12562

Added by Tony L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Lucas Finney

12/21/2021

Step 1

The given vector field is $\mathbf{F} = [8(4x + 3y)]\mathbf{i} + [6(4x + 3y)]\mathbf{j}$. The curve C is a smooth curve from point $A = (-3, 4)$ to point $B = (3, 2)$. Step 2: Check if the vector field is conservative. A vector field $\mathbf{F} = P\mathbf{i} + Show more…

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Evaluate $\int_C \mathbf{F} \cdot d\mathbf{r}$ using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results. $\int_C [8(4x + 3y)\mathbf{i} + 6(4x + 3y)\mathbf{j}] \cdot d\mathbf{r}$ C: smooth curve from $(-3, 4)$ to $(3, 2)$