Answers
Related Questions
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u
Answers
Answer:
[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + 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
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = x[/tex][u] Basic Power Rule: [tex]\displaystyle du = dx[/tex]Set dv: [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]: [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]Step 3: integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]Step 4: Integrate Pt. 3
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle du = 7 \ dx[/tex]Step 5: Integrate Pt. 4
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor: [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Find the gradient of the line segment between the points (2,-3) and (-3,-8)
Answers
Answer:
1
Step-by-step explanation:
gradient=
[tex] \frac{ - 8 - ( - 3)}{ - 3 - 2} = \frac{ - 8 + 3}{ - 5} = \frac{ - 5}{ - 5} = 1[/tex]
Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answers
Answer: 53.5 seconds
Step-by-step explanation:
BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answers
Answer:
3 hours
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
370-165=205
205-100=105
105/35=3
so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?
Answers
Answer:
6
Step-by-step explanation:
3 × (10 - 6) ÷ 2 =?
The strategy that we are using here is PEMDAS:
First, you subtract 6 from 10 which is 4. 10 - 6 =4
Next, you multiply 4 by 3. 4 × 3 = 12
Then, you divide 12 by 2. 12 ÷ 2 = 6
Your answer is 6.
Your welcome. Showed my work below.
How many times bigger is a group of 18 coins than a group of 3 coins?
Answers
Answer:
6 times
Step-by-step explanation:
18 / 3 = 6
Answer:
6
Step-by-step explanation:
Solve:
6*3= 18
Check your work:
18 divided by 3
OR
18 divided by 6
Hope this helps!
Write the slope intercept form of the equation of the line through the given point with the given slope.
through: (1.-3), slope = -1
Answers
Answer:
y=-x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-1(x-1)
y+3=-1(x-1)
y=-x+1-3
y=-x-2
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?
A.h(x)=x^2+2
B.h(x)=0.5x^2+1.5
C.h(x)=2x^2
D.h(x)=x+2
Answers
Given:
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.
To find:
The function.
Solution:
In option A,
[tex]h(x)=x^2+2[/tex]
Putting x=0, 1, 2, 3 respectively, we get
[tex]h(0)=(0)^2+2=2[/tex]
[tex]h(1)=(1)^2+2=3[/tex]
[tex]h(2)=(2)^2+2=6[/tex]
[tex]h(3)=(3)^2+2=11[/tex]
The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.
In option B,
[tex]h(x)=0.5x^2+1.5[/tex]
At x=0,
[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]
So, option B is incorrect.
In option C,
[tex]h(x)=2x^2[/tex]
At x=0,
[tex]h(0)=2(0)^2=0\neq 2[/tex]
So, option C is incorrect.
In option D,
[tex]h(x)=x+2[/tex]
At x=2,
[tex]h(2)=(2)+2=4\neq 6[/tex]
So, option D is incorrect.
Therefore, the correct option is A.
An urn contains four dice. Two have faces numbered 1,2,3,4,5, and 6; one has faces numbered 2,2,4,4, 6 and 6; and one has all six faces numbered 6. One of the dice is randomly selected from the urn and rolled. The same die rolled a second time. Calculate the probability that a 6 is rolled both times ( hint Law of total probability) Group of answer choices
Answers
Answer:
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
Step-by-step explanation:
Two have faces numbered 1,2,3,4,5, and 6
So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:
(1/6)^2 = 1/36
So
[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]
One has faces numbered 2,2,4,4, 6 and 6;
The probability of rolling 2 faces six with this dice is:
(2/6)^2 = 4/36
This dice has 1/4 probability of being chosen. So
[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]
One has all six faces numbered 6.
The probabilityu of rolling two six is given by:
(6/6)^2 = 1^2 = 1
This dice has 1/4 probability of being chosen. So
[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]
Calculate the probability that a 6 is rolled both times
[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
Write the word sentences as an equation. Then solve the equation.
A number k increase by 7 is 34.
An equation that represent this word sentences is?
The solution is k=?
Answers
Answer:
k+7=34
k=27
Step-by-step explanation:
what grade is this for?
hope this helps
y−34=414 what is the answer
Answers
Answer: y = 448
Step-by-step explanation: I’m just good
Evaluate −6 − (−4). (10 point)
−10
−2
24
2
Answers
Answer: negative 2 (-2)
Step-by-step explanation:-6+4=-2
Answer:
−2
Step-by-step explanation:
−6 − (−4)
= −6 − (−4)
= −6 + 4
= −2
i can’t figure out how to do this
Answers
Answer:
i need to know the answer choices
Step-by-step explanation:
Answer:
-25 is correct I think
Step-by-step explanation:
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answers
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
Which statement is NOT true of the equation y = 0.5x?
a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.
Answers
Answer:
it would be C do to the fact that 0.5 x 8=4
what is the solution of this proportion 4/9 = 6/d
Answers
Answer:
d = 2/27
Remember that when a variable is times with a number you divide the number on both sides.
When a variable is divided by a number, you multiply the number on both sides.
Hope this helps you and thank you !!
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answers
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.
Answers
Answer:
14-11.76 = 2.24
2.24×100
14 = 16%
since, the discount percentage is 16%
Sear's has a dishwasher that costs $679. It is on sale for 35% off - How much would you pay?
A.) $375.75
B.) $427.35
C.) $441.35
D.) $237.65
Answers
just multiply .35 and 679!
What is the slope of the line ?
Answers
Answer:
slope: 3/1.5
Step-by-step explanation:
You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5
The question is in the jpg.
Answers
It is 40.8 units^3
Help Me :^
What is the quotient?
~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~
a. Negative 1 and one-half
b. Negative StartFraction 3 over 32 EndFraction
c. StartFraction 3 over 32 EndFraction
d. 1 and one-half
Answers
Answer:
d
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
Answer:
d madam
Step-by-step explanation:
edge 2021
Tulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?
pls help
Answers
Answer:
Gary
I have no idea how to explain this but I do know for a fact that the answer is Gary.
I NEED HELP ASAP Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town.
Which statements are true?
Select each correct answer.
To estimate the percentage well, she would need to collect data for all 35,000 families.
Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.
If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.
Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.
Answers
Answer:
c and d
Step-by-step explanation:
1 3/4+1/6+____=7 1/2
Plz help
Answers
Answer:
7/4 +1/6 +X=15/2
1/6+X=15/2-7/4
1/6+X=30/4-7/4
X=23/4 - 1/6
X= 138-4/24
134/24
5.58333
Step-by-step explanation:
Answer:
6 4/12
Step-by-step explanation:
1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2
andre is making a dessert that calls for 1 1/3 cups of butter if he already has 1/4 cup of butter how much more does andre need
Answers
Answer:
1 1/12 cupsStep-by-step explanation:
Required amount of butter = 1 1/3 cupsAlready has = 1/4 of a cupNeeded:
1 1/3 - 1/4 = 4/3 - 1/4 = 16/12 - 3/12 = 13/12 = 1 1/12 cupsWhat is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
Answers
Answer:
the second option
Step-by-step explanation:
Selma wants to know if seventh-grade students prefer to do their math homework in silence or with background music. She polled the 21 students in her music class. Seven students preferred to do their math homework in silence, and fourteen students preferred to do their math homework with background music. What type of sampling is demonstrated in the situation above?
A. random sampling
B. census
C. convenience sampling
D. Systematic Sampling
Answers
Answer:
D.
Step-by-step explanation:
She used systematic sampling by asking the class to vote by using a type voting system this will help by choosing the highest number as the vote she will go through with.
The sum of the digits in a two-digit number is 16. The digit in the tens place is 2 more than the digit in the
ones place. The system of linear equations shown below represents this situation, where x is the digit in
the tens place and y is the digit in the ones place. Solve the system to find the two-digit number.
(x + y = 16
Ix-y=2
The two digit number is
Answers
Answer:
kapag napag aralan mo yan beh malalaman mo yung sagot kapit lang tiwala ka lang pag aralan mo tignan mo malalaman mo yung sagot jan wag kang magagalit dahil totoo yung sinbi ko cge keep safe and god bless..
Plz help me with this I’m stuck
Answers
Answer:
I belive the answer to this is D or A
Step-by-step explanation:
But I strongly think its A
Answer:
The answer is A