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4 years ago

a rational function, a value is _________ from the domain if it would create a 0 in the function's denominator.

1 answer:

3 0

I would fill that blank in as exempt, meaning not included, since any value that creates a 0 in a function's denominator is undefined on the graph.

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A solid oblique pyramid has a regular hexagonal base with an area of 54 cm2 and an edge length of 6 cm. Angle BAC measures 60°.W

sergij07 [2.7K]

Answer:

324 cm3

Correct on edge

4 0

3 years ago

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The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

7 0

3 years ago

How do i make 5x+2y=4 into the form of y=mx+b

malfutka [58]

First you minus 2y on both sides and you get: 5x=-2y+4. Then you minus 4 on both sides to get 5x-4=-2y which in turn is y (-2y) = mx (5x) + b (-4) : -2y=5x-4

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3 years ago

1. To encourage public transportation, Avery wants to give some friends envelopes with bus tickets and subway tickets in them. I

Alexeev081 [22]

5 .This is called the greatest common factor.

You can list all the factors(ways to divide) of each number and find the biggest one.

15'1,3,5,15

10'1,2,5,10

The greatest they share is 5

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3 years ago

Wasani was playing Jeopardy. In this game of Jeopardy, players earn 50 points for a correct response and lose 50 points for an i

Nady [450]

He got two correct and two wrong.

5 0

3 years ago

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