slant asymptote

Let us learn about slant asymptote

Try to find the slant asymptote of the following function:

Y = x² + 3x + 2 divided by x – 2

To find the slant asymptote, we need to do the long division:

The slant asymptote is the polynomial part of the solution, not the remainder.

Slant asymptote: y = x + 5

Just like horizontal & vertical asymptotes, slant asymptotes are lines the graph approaches. Slant asymptote are also called oblique asymptotes.

A graph always has a slant asymptote if the degree of the numerator is bigger than the degree of the denominator

If you want to find slant asymptotes, divide the numerator by the denominator & keep only the quotient Don't forget that these are still lines, so slant asymptote are written as y =

To divide slant asymptote, you either have to use long division or synthetic division

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multiples of 9

Let us learn about multiples of 9

The multiples of a whole number are found by including the product of any counting number & that whole number. There are an infinite number of multiples of 9. A multiple is what we get when we multiply something. The multiples of 9 are:

9, 18, 27, 36, 45, 54, 45, 63, 72, 81, 90, & so on, going up by 9 each time forever.

9,18,27,36,45,54,63,72,81,90,99,104 the rest of the multiples would be 18, 27, 36... etc It mainly depends which multiple. The multiples of nine up to 90 are:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

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sine table

Let us learn about sine table

The formulae for finding angle & sides of triangle can be easily remembered using the sentence - "Old Harry & His Old Aunt".

Sin (q) = Old/Harry = Opposite/Hypotenuse
Cos (q) = and/His = Adjacent/Hypotenuse
Tan (q) = Old/Aunt = Opposite/Adjacent

The sine function “sin x” is one of the basic functions encountered in trigonometry

The sine table is a function of an angle & is 1 of the most common of the 6 trigonometric functions. The sine function takes an angle & tells the length of the y-component of that triangle.

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calculus tutoring

Let us learn about calculus tutoring

The nice thing about calculus tutoring is that your Calculus Tutor is easy to get, because all that is required is a good computer & an internet connection. Calculus Tutoring is in high demand across the country. Calculus is a notoriously difficult subject for many students in certain majors must pass it in order to earn college degrees. If student possess a thorough understanding of calculus, are willing to assist others, & have a desire to earn money, why not become a calculus tutor?
Calculus Tutoring requires lots of idea of having to search endlessly to fill your Tutoring roster may seem overwhelming. Tutors may feel so mentally exhausted trying to come up with ways to find students without spending a fortune that you may want to give up before you even get started.
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infinite series formula

Let us learn about infinite series formula

Infinite Series Formula:
If -1<>2 + ar³ + ...... = a/ (1 - r)
Exponential series:
1. e^x = 1 + x + x²/ 2! + x³/ 3! + .....
2. e^-x = 1 - x + x²/ 2! - x³/3! + .......
3. 1/2 (e^x + e^-x) = 1 + x²/ 2! + x⁴/ 4! + .......
4. 1/2 (e^x - e^-x) = x/ 1! + x³/ 3! + x⁵/ 5! + .......
5. a^x = e^{x log}_e^a = 1 + x log_ea + (x log_ea)²/ 2! + (x log _ea)³/ 3! + ....... for a>0
these are the fomula in Infinite series formula applicable for exponential series.

Some more Formulas Infinite Series Formula:

log series:
1. log_e(1 + x) = x - x²/ 2 + x³/ 3 - x⁴/ 4 +.... for -1<>
2. log_e(1 - x) = -x - x²/ 2 - x³/ 3 - x⁴/ 4 -..... for -1<= x <1
3. log_e[(1 + x)/ (1 - x)] = 2[x + x³/ 3 + x⁵/ 5 +......] for -1<>
5. log_e2 = 1 - 1/2 + 1/3 - 1/4 + .....
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transitive property

Let us learn about transitive property
The transitive property of equality states for any l numbers which are real number a, b, & c:
If a = b and b = c, then a = c.
The best example, 5 = 3 + 2. 3 + 2 = 1 + 4. So, 5 = 1 + 4.
a = 3. 3 = b. So, a = b.

Example 1: 6 = 4 + 2, 4 + 2 = 3 + 3 So, 6 = 3 + 3

Example 2: x = 3, 3 = y So, x = y

The transitive property of inequalities said that in case a number is less than or equal to a 2nd number, & the 2nd number is less than or equal to a 3rd number, then the 1st number is also less than or equal to the 3rd number

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algebra test questions

Let us solve algebra problems which helps you to solve algebra test questions

Solve the expression: 4x + 1y + 13z + 6x - 6y +2z
4x + 1y + 13z + 6x - 6y +2z
Add the like terms
(4 + 6) x + (1 - 6) y + (13 + 2)z
Simplify the expression
10 x - 5y + 15z
So, the solution is 10 x - 5y + 15z.
Simplify the equation: 8a + 15 = 5a – 3
8a + 15 = 5a – 3
Subtract 15 on both sides of the equation
8a + 15 - 15 = 5a – 3 – 15
8a = 5a – 18
Subtract 5a on both sides of the equation
8a – 5a = 5a – 18 – 5a
3a = -18
Divide by 3 both sides of the equation = 3a/3 = -18/3
a = -6.
So, the simplified solution is -6.

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