Please answer question 6. Please give full explanation to the answer. **Triple Integral Exercises**For Exercises 1-8, evaluate the given triple integral.1. \(\int_{0}^{3} \int_{0}^{2} \int_{0}^{1} xyz \, dx \, dy \, dz\)2. \(\int_{0}^{1} \int_{0}^{1} \int_{0}^{y} xyz \, dz \, dy \, dx\)3. \(\int_{0}^{\pi} \int_{0}^{x} \int_{0}^{x^y} x^2 \sin z \, dz \, dy \, dx\)4. \(\int_{0}^{1} \int_{0}^{z} \int_{0}^{y} ze^{y^2} \, dx \, dy \, dz\)5. \(\int_{1}^{e} \int_{0}^{y} \int_{1/y}^{y} x^2 z \, dx \, dz \, dy\)6. \(\int_{0}^{2} \int_{y^2}^{2} \int_{0}^{z^2} yz \, dx \, dz \, dy\)7. \(\int_{2}^{4} \int_{2}^{4} \int_{0}^{3} 1 \, dx \, dy \, dz\)8. \(\int_{0}^{1} \int_{1-x}^{1} \int_{1-x-y}^{0} 1 \, dz \, dy \, dx\)9. Let \( M \) be a constant. Show that \(\int_{z_1}^{z_2} \int_{y_1}^{y_2} \int_{x_1}^{x_2} M \, dx \, dy \, dz = M(z_2 - z_1)(y_2 - y_1)(x_2 - x_1)\).

Name: Please answer question 6. Please give full explanation to the answer.
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please answer question 6. Please give full explanation to the answer. **Triple Integral Exercises**For Exercises 1-8, evaluate the given triple integral.1. \(\int_{0}^{3} \int_{0}^{2} \int_{0}^{1} xyz \, dx \, dy \, dz\)2. \(\int_{0}^{1} \int_{0}^{1}