This is a calculus 3 problem. Please explain each step clearly, no cursive writing. **Evaluate the double integral**\[\int \int_{R} e^{3x+y} dA\]**where** \( R = \{ (x, y) | 0 \leq x \leq 2, 0 \leq y \leq 2 \} \)### Double Integral### Plot of integrand and Region RThe image includes a 3D plot of the function \( z = e^{3x+y} \) over the region \( R \). The graph is a surface that curves upwards, increasing as both \( x \) and \( y \) increase, demonstrating the exponential nature of the function.- **Axes:** - \( x \)-axis is labeled from -2 to 2. - \( y \)-axis is labeled from -2 to 2. - \( z \)-axis shows values ranging from approximately 0 to 50.The yellow shaded region represents where the function is evaluated within the bounds of \( x \) and \( y \).**Note:** This plot is an example of the function over region \( R \). The region and function identified in your problem will be slightly different.**Answer =** [________]**Instruction:** Round your answer to four decimal places.

Name: This is a calculus 3 problem. Please explain each step clearly, no cur
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: This is a calculus 3 problem. Please explain each step clearly, no cursive writing. **Evaluate the double integral**\[\int \int_{R} e^{3x+y} dA\]**where** \( R = \{ (x, y) | 0 \leq x \leq 2, 0 \leq y \leq 2 \} \)### Double Integral### Plot of integra