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Nimfa-mama [501]
3 years ago
14

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

c

a fraction bar Is just a division bar, it's c.

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Sin (3x) dx = ?<br> find the integral
AVprozaik [17]

Answer:

\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C

General Formulas and Concepts:

<u>Calculus</u>

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Trig Integration: \displaystyle \int{sin(x)} \, dx = -cos(x) + C

U-Substitution

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle \int {sin(3x)} \, dx

<u>Step 2: Identify Substitution Variables</u>

u = 3x

du = 3dx

<u>Step 3: Integrate</u>

  1. [Integral] Rewrite:                                                                                           \displaystyle \frac{1}{3}\int {3sin(3x)} \, dx
  2. [Integral] U-Substitution:                                                                                \displaystyle \frac{1}{3}\int {sin(u)} \, du
  3. [Integral] Trig Integration:                                                                              \displaystyle \frac{1}{3}[-cos(u)] + C
  4. [Expression] Multiply:                                                                                     \displaystyle \frac{-cos(u)}{3} + C
  5. [Expression] Back-Substitute:                                                                        \displaystyle \frac{-cos(3x)}{3} + C
8 0
3 years ago
Shopping at savers mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next day and bu
natta225 [31]
So you have to make two equations. Let's say x stands for shirts and y stands for pants. 4x+3y=85.50. The second equation would be, 5y=115-3x. Since you need one of them to have x= or y=, you need to change it to that form. y=. Then you do substitution and solve which leaves you with:

Shirts are $7.50
Pants are $18.50

4 0
3 years ago
Need some help im not smart
zlopas [31]
Sure your smart Its just not your subject....School isn't my thing but you put me out into the woods and i could survive weeks with nothing...Lol just find your nitch and be proud of it

6 0
3 years ago
A teacher graded s 27 tests in 3 hours. Do these quantities(number of tests graded in time) vary directly or inversely? Explain.
Gwar [14]

Answer:

directly

Step-by-step explanation:

3 0
3 years ago
The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s
e-lub [12.9K]

Using the normal distribution, we got that expression for the z-score of her test score is

z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1

<h3>What is Normal Probability Distribution?</h3>

it's a type of probability distribution which is  symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.

Given that mean =\mu=79

and standard deviation =\sigma = 7

X=73

we know that formula of z-score is

z=\frac{X-\mu}{\sigma}

Hence Z-score can be calculated as

z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1

Using the normal distribution, we got that expression for the z-score of her test score is

z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1

To learn more about the normal distribution visit : brainly.com/question/24663213

3 0
3 years ago
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