Solve the Problem $\varrho = 10$ In Rectangular Coordinates B) C) $8 \int_{-10}^{10} \int_{0}^{\sqrt{100-x^{2}}} \int_{0}^{\sqrt{100-x^{2}-y^{2}}} d z d y d x$

question 139

Multiple Choice

Solve the problem.
-Set up the triple integral for the volume of the sphere $\varrho = 10$ in rectangular coordinates.

• A) \(8 \int _ { - 10 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x\)
• B) \(\int _ { 0 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { - \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x\)
• C)\(8 \int_{-10}^{10} \int_{0}^{\sqrt{100-x^{2}}} \int_{0}^{\sqrt{100-x^{2}-y^{2}}} d z d y d x\)
• D)
• \(\int_{-10}^{10} \int_{-\sqrt{100-x^{2}}}^{\sqrt{100-x^{2}}} \int \sqrt{100-x^{2}-y^{2}} d z d y d x\)

Identify critical periods of vulnerability during prenatal development and the impact of environmental and genetic factors.

Explain the principles of cephalocaudal and proximodistal development.

Describe the role and potential health impacts of the umbilical cord.

Understand the structures and roles of different embryonic layers (endoderm, mesoderm, ectoderm) in fetal development.

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