Suppose the Following Is a Graph of Z = G(y) $y ^ { \prime } = g ( y ) ; \quad y ( 0 ) = - 1$

question 110

Multiple Choice

Suppose the following is a graph of z = g(y) . Which of the following can then be said about the solution y = f(t) to the initial value problem $y ^ { \prime } = g ( y ) ; \quad y ( 0 ) = - 1$ ?
(I) f(t) is an increasing function
(II) f(t) is always positive
(III) f(t) has an inflection point when y = 2.

• A) III only
• B) I, II, and III
• C) I only
• D) II only
• E) I and III

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Definitions:

Winglike Side Projections

Structural or anatomical parts extending from the side of an object or body, resembling the wings of a bird or insect in shape or function.

Bones Of Children

The developing skeletal structure in children, which is characterized by growth plates and undergoes changes as they mature.

Flexible

The quality of being able to bend without breaking; adaptability to change or to accommodate new conditions.

Brittle

Refers to a physical property of materials that break easily without significant deformation.