¿En que orden se deben escribir las funciones, para aplicar la integral definida cuando se desea calcular el área?
Answer:
Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:
f(x) > g(x) para todo x ∈ (a, b)
Entonces calculamos:
[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]
Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.
Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.
es decir, si:
f(x) ≥ g(x) para x ∈ (a, n)
g(x) ≥ f(x) para x ∈ (n, b)
entonces el área estará dada por:
[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]
Use technology to find the line of best fit for the following data.
(1, 0), (2, 3), (3,1), (4,4), (5,5)
When the equation of the line is in the form y=mx+b, what is the value of **b**?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Given:
The data points are:
(1, 0), (2, 3), (3,1), (4,4), (5,5)
To find:
The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.
Solution:
The general form of best fit line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope of best fit line and b is the y-intercept of the line.
Using the graphing calculator, we get the equation for the best fit line and the equation is
[tex]y=1.1x-0.7[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]b=-0.7[/tex]
Therefore, the value of b is equal to -0.7.
A rectangular dog pen is constructed using a barn wall as one side and 63 m of fencing for the other three sides what is the maximum area of the dog pen
Simplify the expression. –(10)–2
100
–100
Answer:
-12, 0
Step-by-step explanation:
find the area of the irregular figure. 4 in. 7in. 5in. 3in. 4in. 9in.
Answer:
79 sq in
Step-by-step explanation:
cut it into separate shapes then add the areas of each individual
(4 x 3) + (13 x 4) + (3 x 5)
Which statement about correlation and causation is true?
1. Correlation cannot occur without causation.
2. Correlation and causation are always unrelated.
3. Causation implies correlation.
4. Correlation implies causation.
Answer:
it is number 1
Step-by-step explanation:
i asked my teacher
Answer: 3 or 4, this question isnt exactly possible to answer
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities?
y < 2x - 5
y> -3x + 1
Is it this one?
Step-by-step explanation:
The given system of inequalities are :
y < 2x - 5 ...(1)
y> -3x + 1 ....(2)
For equation (1),
When x = 0, y<-5
For equation (2),
When x = 0, y>1
The attached figure shows the graph of the given inequalities.
WILL GIVE BRAINLIST
MATH
WRITE THE SEQUENCE AS AN EQUATION USE X TO REPRESENT “ a number “
Six times the difference of 11 and a number is -72.
6×11-x= -72
Step-by-step explanation:6×11-x= -7266-x= -72-x= -72-66-x=-138x=138checking:6×11-138= -7266-138= -72-72= -72hope you understood it please mark me as brainliest
Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store in blocks. Each block is 8 ounces. What is the minimum number of blocks of cream cheese Naomi has to buy? (1 point) 3 4 5 6
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
total ounces needed = 2.75 x 16 = 44 pounds
Ounces of cake she needs = 44 - 4 = 40
Minimum blocks needed = ounces needed / ounces of each block
40 / 8 = 5
What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?
Answer:
a=18-3 and b=32÷8
Step-by-step explanation:
the first one
Solve for X. Answer as a decimal.
Answer:
2
Step-by-step explanation:
can someone help please..
Answer:
b
Step-by-step explanation:
4x²+6X+9
Factorizar
The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.
Given:
Kiosk is the combination of a cylinder and a cone.
Diameter of cylinder and cone = 5 m
Height of the cylinder = 3 m
Height of the cone = 2 m
To find:
The volume of the kiosk.
Solution:
We know that the radius is half of the diameter. So,
Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m
= [tex]2.5[/tex] m
Volume of the cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get
[tex]V_1=(3.14)(2.5)^2(3)[/tex]
[tex]V_1=(3.14)(6.25)(3)[/tex]
[tex]V_1=58.875[/tex]
Volume of a cone is:
[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get
[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]
[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]
[tex]V_2\approx 13.083[/tex]
The volume of the kiosk is the sum of volume of cylinder and the volume of cone.
[tex]V=V_1+V_2[/tex]
[tex]V=58.875+13.083[/tex]
[tex]V=71.958[/tex]
[tex]V\approx 72[/tex]
Therefore, the volume of the kiosk is 72 cubic meter.
Pls need help in test
A fruit stand has to decide what to charge for their produce. They charge $8 for 4 apples and 4 oranges. They also charge $10 for 6 apples and 4 oranges. If we put this information into a system of linear equations, can we find a unique price for an apple and an orange?
A. Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B. Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C. No; the system has many solutions.
D. No; the system has no solution.
i think its C.No;the system has many solución
Answer:
thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe
Please answer it i need this
Answer: The first choice
Step-by-step explanation:
what will I get for the answer 12(2x2−8)+13(6x2−3)
Answer:
102x^2 - 135
Step-by-step explanation:
Here we must follow order of operations rules:
1. Anything enclosed inside parentheses must be done first
2. Multiplication before addition/subtraction
Thus, 12(2x^2−8)+13(6x^2−3) becomes (after multiplication):
24x^2 - 96 + 78x^2 - 39
The next step is to combine like terms:
102x^2 - 135
This cannot be simplified further. 102 and 135 have no common factors.
Thus, 12(2x^2−8)+13(6x^2−3) = 102x^2 - 135
Answer:
3x^2-5
Step-by-step explanation:
i found out myself after searching the question
A rectangle has horizontal sides of 3(x-2)ft and vertical sides of 4x-7+(-2x)ft. Find the value of x so that the rectangle of x has a perimeter of 34 ft.
Answer:
x = 6
Step-by-step explanation:
Perimeter of the rectangle = 34 ft
Length of the rectangle = 3(x-2) ft
Width of the rectangle = 4x-7+(-2x) ft
= 4x - 7 - 2x
= 2x - 7 ft
Perimeter of a rectangle = 2(length + width)
34 = 2{3(x-2) + 2x - 7 }
34 = 2{3x - 6 + (2x - 7)}
34 = 2(3x - 6 + 2x - 7)
34 = 2(5x - 13)
34 = 10x - 26
34 + 26 = 10x
60 = 10x
x = 60/10
x = 6
Length of the rectangle = 3(x-2) ft
= 3(6 - 2)
= 3(4)
= 12 ft
Width of the rectangle = 2x - 7 ft
= 2(6) - 7
= 12 - 7
= 5 ft
Help please!!! I don’t understand
pls help me wit this asap
Answer:
not sure but I think the answers c
please help im very confused
PLEASE HELP FAST WILL GIVE BRAINLIEST!!!!!!!!
Answer:
D. 32
Step-by-step explanation:
find the area of this parallelogram. HELP ASAP!
Answer:
260cm^2
Step-by-step explanation:
Given,
Base = 20cm
Height = 13cm
Area of a parallelogram = Base * Height
= 20 * 13
= 260cm^2
Answer:
260
Step-by-step explanation:
Area of parallelogram = base length times height
Given height = 13cm
Given base Length = 20
Area = 20 * 13 = 260
Question 30 of 44
Need help ASAP
Answer:
Sorry but where r the questions
Step-by-step explanation:
Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?
Answer:
425000×0.0235=9987.5
379000×0.0235=8906.5
9987.5+8906.5=18894 that is the amount he gonna get
Look at the graph of the given relation. Determine whether the relation is a function. Explain why or why not.
(4.2, 6.2), (-0.8, 6.2), (-3.8, 4.2), (-3.8, -1.8)
Answer:
Step-by-step explanation:
The relation is not a function!
Find the range of 45, 38, 47, 42, 40, 47
According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92
Answer: B. 4.11
Step-by-step explanation:
Using Binomial distribution ( as the arrival times of workers are independent).
Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.
As per given ,
p= 0.06, n=300
Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]
[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]
Hence, the correct option is B.
A javelin thrower is running at 7mph and throws her javelin at 18mph at an angle of 13o with the horizontal. Determine the resultant speed and direction of the javelin. i need the magnitude and the direction !!! HELP WILL MARK BRALIEST
Magnitude: 24.93 mph
Direction: 9.37°
A javelin thrower throws her javelin at an angle of 13o
cos13°=v1/18
v1=cos13° * 18= 17.54mph
v=v1+7
17.54+7=24.54 mph
sin13°=v2/18
v2=sin13° * 18= 4.05mph
tan ∅ =v2/v=0.165
∅ =9.37°
cos ∅ =v/v3
v3=24.54/cos 9.37=24.93
What is the formula for resultant speed?
Multiply the acceleration by the time the object is being accelerated. For example, if an object falls for 3 seconds, multiply 3 by 9.8 meters per second squared, which is the acceleration from gravity. The resultant velocity in this case is 29.4 meters per second.
How do you find the resultant direction?join the tail of the first vector with the second vector's head and put the arrowhead. To determine the magnitude, measure the length of the resultant R, and find out the direction.
Learn more about resultant force:https://brainly.com/question/14626208
#SPJ2
Substitute w = 4 into the following expression
10 – 4w
Answer:
-6
Step-by-step explanation:
Substitute as in replace "w" with 4
10-4(4)
Multiply -4 and 4
-16
10-16=-6
Hope this helps
Answer:
-6 it wouldnt let me post this without having 20 letters in my answer
Step-by-step explanation:
10 - 4*4 = -6.