Correcting Sentences with Incorrectly formed Comparisons. On the line after each sentence write the comparative or superlative form that will correct the underlined errors Of all the jokes he told, the last one was the most funniest..

Use calculus to find the area of the triangle with the given vertices.

$$(-2,5),(0,-3),(5,2)$$

Use the Second Fundamental Theorem of Calculus to find F’(x). F(x) = ∫_(-3)^x (t²+3t+2) dt

What are some of the advantages and disadvantages of these personal letters as historical documents? For example, what insights do they provide that more formal documents, such as the Declaration of Independence, do not? How are the letters useful or limited in their historical value? How does the identity of the writer influence the content? Draw upon your chart to cite examples from the letters to prove your points.

Correcting Sentences with Incorrectly formed Comparisons. On the line after each sentence write the comparative or superlative form that will correct the underlined errors. Of the two hotels. this one is the $\underline{most}$ $\underline{luxurious}$.

Use L'Hopital's Rule to determine the comparative rates of increase of the functions $f(x)=x^m, \quad g(x)=e^{n x}$, and $h(x)=(\ln x)^n$ where $n>0, m>0$, and $x \rightarrow \infty$.
$\lim _{x \rightarrow \infty} \dfrac{(\ln x)^n}{x^m}$

Pam and John are partners in PJ's partnership, having capital balances of $120,000 and$40,000, respectively, and share income in a ratio of 3 : 1. Gerry is to be admitted into the partnership with a 20 percent interest in the business.

Required

First record Gerry's admission into the partnership and then specify and briefly explain why the accounting method used in that situation is GAAP or non-GAAP.

• Gerry invests $35,000, and goodwill is to be recorded.

Recognizing The Three Degrees of Comparison. Identify the degree of comparison of each underlined modifier by writing $P$ for positive, $C$ for comparative, or $S$ for superiative on the line. These letters arrived $\underline{sooner}$ than I expected.

A(n) __________ transformation produces figures that are similar. (similarity, congruence, or scale factor)

Use calculus to find the maximum and minimum of $f(x)=x^{3}-6 x^{2}+$ $9 x+1$ on $[0,5)$.

Either by hand or using a computer software package, sketch the phase plane diagrams for the given system. Discuss the stability of each limit cycle and critical point. Here $x=r \cos \theta$ and $y=r \sin \theta$.
$\frac{d x}{d t}=y+x \sin (1 / r)$,

$$\frac{d y}{d t}=-x+y \sin (1 / r)$$

Pam and John are partners in PJ's partnership, having capital balances of $120,000 and$40,000, respectively, and share income in a ratio of 3 : 1. Gerry is to be admitted into the partnership with a 20 percent interest in the business.

Required

First record Gerry's admission into the partnership and then specify and briefly explain why the accounting method used in that situation is GAAP or non-GAAP.

• Gerry invests $50,000, and goodwill is to be recorded.

Determine the number of significant figures in each measurement: 0.035 kg

Use the Second Fundamental Theorem of Calculus to find F’(x). F(x) = ∫ _0^x t cos t dt