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3 years ago

13

How much will Trey and his friends leave as a tip for the waiter.

1 answer:

Phantasy [73]3 years ago

7 0

•The amount of tip that Trey and his friend will leave is $5.79

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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

PLS HELP ME ASAP WITH 1, 2, 5, 6, 11, and 12 PLS!!

melamori03 [73]

1-

number 2) is correct

2- 3) is true

11) Jacob is not correct. because 6radical 5 is irrational

12) radical 20 is an irrational number but

so a+b is irrational

but
$\sqrt{225} = 15 \\ it \: is \: rational$

so b+c is rational

good luck

8 0

3 years ago

Find the minimum angle of rotation of the given figure a. 40* b. 60* c. 45* d. 8*

Mila [183]

I’m not an expert at this but my guess is 45 degrees. Can you let me know what the correct answer was?

6 0

3 years ago

Read 2 more answers

The ratio of men to women working for a company is 5 to 7 if there are 133 women working for the company what is the total numbe

Mrrafil [7]

228 employees in total

6 0

3 years ago

Please tell me how do you simplify the expression???? <br> x^15 · y^9<br> over<br> x^8 · y^3

anyanavicka [17]

Answer:

$x^7 * y^6$

Step-by-step explanation:

In the equation: $\frac{x^{15} * y^9 }{x^8 * y^3}$

x's can be simplified and y's can be simplified!

Always remember that for exponents, you subtract the powers when dividing

so for x: 15-8 = 7

for y: 9-3 = 6

so the final answer is: $x^7 * y^6$

5 0

4 years ago