Consider the differential equation ,for which the solution is g(x). Which of the following statements is true about the particular solution that contains (1,-4)?

A)g(x)is increasing and concave up.
B)g(x)is increasing and concave down.
C)g(x)is decreasing and concave up.
D)g(x)is decreasing and concave down.

Question

​Consider the differential equation  ,for which the solution is g(x). Which of the following statements is true about the particular solution that contains (1,-4)?
​
A)​g(x)is increasing and concave up. 
B)​g(x)is increasing and concave down. 
C)​g(x)is decreasing and concave up. 
D)​g(x)is decreasing and concave down.

Quizplus · Accepted Answer

The differential equation 11eac44f_ecc4_00dc_bedf_c7f6caa4925c_TB7497_11 is of the form y'' > 0, which means that the solution g(x) is a decreasing and concave down function. Therefore, the particular solution that contains (1,-4) will also be a decreasing and concave down function. Hence, the answer is (D).

​Consider the Differential Equation ,For Which the Solution Is

Consider the Differential Equation ,For Which the Solution Is