The 4 parts of a function are Function name, Parameters ,Body, Return statement.
1. Function name: This is the name of the function, which is used to identify the function and call it when needed. It should be descriptive, so that it is easy to understand what the function does.
2. Parameters: Parameters are values that are passed into the function when it is called. They are used to provide the function with the necessary data it needs to perform its task.
3. Body: This is the code that will be executed when the function is called. It contains the instructions that the function needs to perform its task.
4. Return statement: This is the statement that is used to return the result of the function. It can be used to return a value or object. It can also be used to return a status code, such as success or failure.
Learn more about Functions here :
https://brainly.com/question/9554035
#SPJ4
help please!!
Integrate the following:
[tex] \displaystyle \int {x}^{2} {e}^{x} dx[/tex]
Answer:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]
Step-by-step explanation:
we want to integrate the following integration:
[tex] \displaystyle \int {x}^{2} \cdot {e}^{x} dx[/tex]
notice that, the integrand is in the multiplication of two different function in that case we can consider integration by parts given by:
[tex] \rm \displaystyle \int u \cdot v \: dx = u \int vdx - \int u' \left( \int v dx \right)dx[/tex]
where u' can be defined by the differentiation of u
now we have to choose our u and v
which can be chosen by using the guideline:ILATE Inverse trig. , Logarithm, Algebraic expression, Trigonometry, Exponent.
since x comes first thus,
[tex] \displaystyle u = {x}^{2} \quad\text{and} \quad v = {e}^{x} [/tex]
by figuring out the defferentiation of u,we acquire:
[tex] \displaystyle u' = 2x[/tex]
altogether we get:
[tex] \rm \displaystyle \int {x}^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int 2x \left( \int {e}^{x} dx \right)dx[/tex]
by figuring out the parentheses integration
we get:
[tex] \rm \displaystyle \int x^2 \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int2x \cdot {e}^{x} dx[/tex]
now we again have integration of two different functions so let's choose our u and v once again which can be done using the guideline
[tex] \displaystyle u = 2x \quad\text{and} \quad v = {e}^{x} [/tex]
by figuring out the defferentiation of u
we acquire:
[tex] \displaystyle \: u' = 2[/tex]
altogether we get:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x \int{e}^{x} dx- \int2 \left( \int{e}^{x}dx \right) dx \right)[/tex]
by solving parentheses we get
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x {e}^{x} - 2 e^{x} dx \right)[/tex]
by figuring out the integral we get:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- \left( 2x {e}^{x} - 2 e^{x} \right)[/tex]
remove parentheses:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} [/tex]
at last we of course have to add constant of integration:
[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]
and we are done!
Answer:
[tex]\displaystyle \int {x^2e^x} \, dx = e^x(x^2 - 2x + 2) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIndefinite IntegralsIntegration Constant CIntegration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigTabular IntegrationStep-by-step explanation:
*Note:
The answer below me is correct, but there is a simpler method of obtaining the answer.
Step 1: Define
Identify
[tex]\displaystyle \int {x^2e^x} \, dx[/tex]
Step 2: Integrate
Use tabular integration.
[Integrand] Differentiate/Integrate [Tabular Integration]: [tex]\displaystyle \\\begin{center}\begin{tabular}{ c | c }\line{u & dv} \\\cline{1 - 2} x^2 & e^x \\\ 2x & e^x \\\ 2 & e^x \\\ 0 & e^x\end{tabular}\end{center}[/tex]Write out expansion [Tabular Integration]: [tex]\displaystyle \int {x^2e^x} \, dx = x^2e^x - 2xe^x + 2e^x + C[/tex]Factor: [tex]\displaystyle \int {x^2e^x} \, dx = e^x(x^2 - 2x + 2) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
1. What is the alternate hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
2. What is the null hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday are like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).
What is your conclusion about the bags based on this result? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
Answer:
1. B. The bag of candy produced last Monday is different from the standard bag.
2. A. The bag of candy produced last Monday are like the standard bag.
3. B. The bag of candy produced last Monday is different from the standard bag.
Step-by-step explanation:
Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
To find - 1. What is the alternate hypothesis for this exercise?
2. What is the null hypothesis for this exercise?
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance). What is your conclusion about the bags based on this result?
Proof -
1.
The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.
2.
The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.
3.
The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.
I need help on this ASAP
75cm²
Explanation:
10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.
Answer:
75cm²
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.
To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.
Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.
A = √[s(s-a)(s-b)(s-c)]
= √[8(21. 5-10)(21.5 -15)(21. 5-18)]
= √[21.5 × 11.5 × 6.5 × 3.5]
= √(5625)
≈ 7.5
Find the value of x.
Answer:
The answer would be X= -7 .
Step-by-step explanation:
Hope it helps :)
What is the difference between 2386 and 7000 check your answer using inverse operations
Answer:
7,000 - 2,386 = 4,614
helppp! I literally can’t find anything in Brainly I’m dead failing does someone at le
Answer:
C
Step-by-step explanation:
volume of a cone = πr²[tex]\frac{h}{3}[/tex]
so 20² x π x [tex]\frac{35}{3}[/tex] = 14660.76572
The area of the square is
........ square centimeters.
9.5 cm
9.5 cm
Convert.
32 ft =
yd
ft Helpp
Answer:
10.667 yards
Step-by-step explanation:
What is the image point of (9,5) after a translation right 4 units and up 4
units?
Answer:
5,9
Step-by-step explanation:
can someone pleease help my teacher will not help me.
Answer:
The perimeter is 206.
Step-by-step explanation:
When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.
0.4209" to the nearest common fraction
Answer:
4209/10000
Step-by-step explanation:
42.09%=4209/10000
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
yes i think
Step-by-step explanation:
A 2-mile walking trail has a distance marker every 1\4 mile. How many markers are along the trail?
Answer: 8
Step-by-step explanation:
From the question, we are informed that a 2-mile walking trail has a distance marker every 1\4 mile. Hl
The number of markers that are along the trail will be calculated as:
= Length of walking trail / interval of distance marker
= 2 ÷ 1/4
= 2 × 4
= 8
There are 8 markers along the trail.
PLEASE HELP ME ON THIS QUESTION ASAP!!!! NO LINKS
Answer:
4π in.
Step-by-step explanation:
formula circumference= 2πr
r = half of diameter
Solve for all values of x by factoring.
x^2+10x+12=2x+5
Answer:
x = -1, -7
Step-by-step explanation:
=> x² + 8x + 7 = 0
=> (x + 1) (x + 7) = 0
=> x = -1, -7
Solve for x
3x + 9
x=
33
30
27
Answer:
Please can you complete the question
How many words can be formed from the letters of the word 'ENGLISH' ? How many these do not begin with E? How many of these begin with E and do not end with H?
Total Number of words made out of English = 93
can someone help me please I don’t understand
Answer:
answer is 3.144
Step-by-step explanation:
what is m∠ BAC???????
Answer:
36 degrees
Step-by-step explanation:
I’m pretty sure that’s it
A muffin recipe calls for 1 cup of flour, 1/2 cup of sugar and 3/4 cup of milk and makes 20 muffins. How much of each ingredient would you need to make 120 muffins?
Answer:
well you multiple 20 by 6 to get 120, so that means multiple everything by 6
SO, 6 cups of flour, 3 cups of sugar, and 4 1/2 cups of milk
9k^2+11k-36k-44 ????
Answer:
[tex]9k^{2} - 25k - 44[/tex]
Step-by-step explanation:
Thomas is opening a savings account. Which integer represents his possible balance after making a deposit
A -10
B-5
C 0
D 10
Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-1))
Answer:
78
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(x^2+2)*(1-3x)=-3x^3+x^2-6x+2
now plug in -1
-3(-1)^3+(-1)^2-6(-1)+2=12
hope this helped
Find the distance between the pair of points (-6.-17) and (-8.-19) The distance is (Round to the nearest thousandth as needed.)
Answer:
2.83
Step-by-step explanation:
d= Square root of (x2 - x1 )^2 +( y2- y1)^2
from the point given you
x1= -6
y1 = -17
x2 = -8
y2 = -19
by applying the formula
Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2
Square root of (-8+6) + (-19+17)^2
How many tiles will figure 13 have ??
FREE POINTS!
Answer:
more tiles than i laid in ur momms
Step-by-step explanation:
Figure 13 has 11 tiles
Calculate the mean for each set of data.
a 12, 18, 9, 14, 8, 7
Answer:
11.3, rounded
Step-by-step explanation:
mean = average. Add them all up, then divide by how many entries/data points you have.
12 + 18 + 9 + 14 + 8 + 7 = 68
There are 6 numbers we added, so 68/6 = 11.3333333
Please let me know if you have questions.
What is the answer. No links please.
Answer:
24 + 50 = 74 cm³
Step-by-step explanation:
I split the irregular figure into two separate shapes and found the volume of each and then added the values, I am most certain the answer would be 74 cm³, I apologize if it isn't.
someone help pls, :((((
What is the volume of a rectangular prism with a length of 2.5 cm, a width of 3.1 cm and a height of 1.2 cm?
A. 7.75 cm³
B. 8.1 cm³
C. 8.3 cm³
D. 9.3 cm³
If 5x + 1 = 21 then x =
Answer:
X would equal 4
Step-by-step explanation:
5 x 4 is 20. And the equation was 5x + 1 = 21.
So, the answer would equal 20. Hope this helped!! :D
Answer:
x=4
Step-by-step explanation:
Start with your equation: 5x+1=21
Subtract 1 on both sides: 5x=20
Divide by 5 on both sides: x=4
Hope I helped