Which description is correct for the polynomial 4x^2+3x+5

1 answer:

8 0

That is a quadratic trinomial.
Its largest degree is 2 (which makes it quadratic), and it has 3 terms separated by addition operators (which makes it trinomial).

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Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1

ohaa [14]

$\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C$

8 0

3 years ago

A cyclist rides at an average speed of 31 miles per hour. The cyclist’s speed, s, can differ from the average by as much as 8 mi

Shalnov [3]

In this compound inequality X should be 8.

4 0

3 years ago

Read 2 more answers

What is the value of the exponential function f (x)=2 times (1/3)^x when x= -2

frutty [35]

Answer:

Step-by-step explanation:

f(x) = 2(1/3)^x

[x = -2]

f(-2) = 2(1/3)⁻²

= 2(9)

= 18

5 0

2 years ago

8. The sum of four consecutive integers is -22.

steposvetlana [31]

Answer:

he sum of four consecutive integers is -42.

Step-by-step explanation:

5 0

3 years ago

se necesita llenar un galon de agua,en 2 litros se tarda 30 minutos.cuantos litros me hacen falta para completar el galon y cual

mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

$1 gal=3.78 L$