Sketch the general structure of a triglyceride. What are the components that go into making up a typical triglyceride?

Find the most general antiderivative of the function. (Check your answer by differentiation.)

$$f ( x ) = e ^ { 2 }$$

Use integration to find a general solution of the differential equation. dy/dx = 3x³ - 8x

Determine whether the following statements are true and give an explanation or counterexample. In general, f(g(x))=g(f(x)).

Consider the differential equation $d y / d t=t^2 y+1+y+t^2$. (a) Find its general solution by separating variables. (b) Note that this equation is also a nonhomogeneous linear equation. Find the general solution of its associated homogeneous equation. (c) Calculate the equilibrium solutions of the nonhomogeneous equation. (d) Using the Extended Linearity Principle, find the general solution of the nonhomogeneous equation. Compare your result to the one you obtained in part (a).

On the lines provided, rewrite the following items, abbreviating words where permissible and inserting periods where necessary.

Example 1. $\underline{\color{#c34632}\text{Gen. Richard N. Hawthorne, Jr.}}$General Richard N Hawthorne, Junior

__________________________________ General Colin L Powell

Show that the general solution of

$$x y ^ { \prime \prime } + 2 y ^ { \prime } + x y = 0$$

is $y ( x ) = x ^ { - 1 } ( A \cos x + B \sin x )$.

How did dictator General Portirio Díaz contribute to economic and political instability in Mexico?

Find a general form equation for the line through the pair of points.

$$(4,-1)and(4,5)$$

Find a general solution. Check your answer by substitution. y''+4y'+(π²+4)y=0

Find the general antiderivative of f and check your answer by differentiating.

$$f ( x ) = 12 e ^ { x } - 5 x ^ { - 2 }$$

First use (20) to express the general solution of the given differential equation in terms of Bessel functions. Then use (26) and (27) to express the general solution in terms of elementary functions. $x^{2} y^{\prime \prime}+4 x y^{\prime}+\left(x^{2}+2\right) y=0$

Use Superior Corporation's trial balance and financial statements from the previous Work Together exercise. A general journal is given in the Working Papers.

Record the following closing entries on page 19 of the general journal.

b. Close the income statement accounts with debit balances.

Find a general solution of the differential equation.

$$dy/dx = 10x^4 - 2x^3$$