Answer:
Step-by-step explanation:
- Convert the mixed numbers into improper fractions:
÷
- Apply the fractions formula for division:
- Simplify:
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Given:
The function is:
To find:
The result of the operation .
Solution:
If , then the graph of f(x) is reflected across the x-axis to get the graph of g(x).
We have,
The given operation is:
So, it will result in a reflection across the x-axis.
Therefore, the correct option is A.
Answer:
Step-by-step explanation:
(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.
(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.
(C) Example of a second order linear ODE:
M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)
The equation will be homogeneous if K(t)=0 and heterogeneous if
Example of a second order nonlinear ODE:
(D) Example of a nonlinear fourth order ODE: