Determine the value of each limit for the function below.f(x)=x/(x-2)^2(a) lim f(x). (b) lim f(x)x---2^-. x---2^+
Answers
We will have the following:
a)
\(\lim _{x\rightarrow2^-}\frac{x}{(x-2)^2}=\infty\)b)
\(\lim _{x\rightarrow2^+}\frac{x}{(x-2)^2}=\infty\)Related Questions
Use the drop down menus to complete the statement to match the information shown by the graph
Answers
Answer:
yes ikow
Step-by-step explanation:
you can do that if you want to buy
Answer:
where the graph?
Step-by-step explanation:
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park, in square yards?
Answers
Answer:
56,000 yards
Step-by-step explanation:
7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
Answer:
56,000
Step-by-step explanation:
Four children want to share five candy bars so that everyone gets the same amount. How much candy bar can each child have? cant give a kid a full candy bar and the rest 1/4
Answers
Answer:
Each child can have 1 candy bar and 1/4 of the remaining candy bar.
5 candy bars divided by 4 kids = 1 candy bar and 1/4th of a candy bar per kid
Step-by-step explanation:
5 candy bars divided by 4 kids = 1 candy bar and 1/4th of a candy bar per kid
(sorry if its sloppy)
six options. Each of these six options leads to a menu with four options. For each of these four options, three more options are available. For each of these three options, another three options are presented. If a person calls the 800 number for assistance, how many total options are possible
Answers
Answer:
Hence the total number of possible options available to a person who calls the 800 number is 216.
Step-by-step explanation:
Given that the caller 10 800 telephone system has six options. For each of these four options, three more options are available. For each of these three options, another three options are presented.
Hence the total number of possible options available to a person who calls the 800 number = \(6 \times 4 \times 3 \times 3 = 216\).
Dale deposits $4000 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 5 years?
Answers
Answer:
$1200
Step-by-step explanation:
$4000 x .06 = $240 x 5 years = $1200
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
Answers
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
The function f(x)=x(200-x) models the area of a pasture, in square yards, as a function of its length. Which are possible lengths of the pasture? 125 yards 200 yards 170 yards 225 yards 210 yards
Answers
Answer:
(a): x = 125 yards.
(c): x = 170 yards.
Step-by-step explanation:
Given
\(f(x) = x(200 - x)\)
\(x = length\\\\\)
\(f(x) = area\)
Required
Determine the possible length
For a length to be possible or usable, the calculated area must be greater than 0.
(a): x = 125 yards.
\(f(x) = x(200 - x)\)
Substitute 125 for x
\(f(125) = 125 * (200 - 125)\)
\(f(125) = 125 * 75\)
\(f(125) = 9375\)
(b): x = 200 yards.
\(f(x) = x(200 - x)\)
Substitute 200 for x
\(f(200) = 200 * (200 - 200)\)
\(f(200) = 200 * 0\)
\(f(200) = 0\)
(c): x = 170 yards.
\(f(x) = x(200 - x)\)
Substitute 170 for x
\(f(170) = 200 * (200 - 170)\)
\(f(170) = 200 * 30\)
\(f(170) = 6000\)
(d): x = 225 yards.
\(f(x) = x(200 - x)\)
Substitute 225 for x
\(f(225) = 200 * (200 - 225)\)
\(f(225) = 200 * (- 25)\)
\(f(225) = -5000\)
(e): x = 210 yards.
\(f(x) = x(200 - x)\)
Substitute 210 for x
\(f(220) = 200 * (200 - 210)\)
\(f(220) = 200 * (- 10)\)
\(f(220) = -2000\)
From the above calculations, only values of x that are 125 and 170 makes the function true
What do I do?
Brief Calculus Question: Find Each limit (if it exist)
Answers
For the given function the value of limits are
\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5
\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0
\(\lim _{x\to 0}\left x^2+5\)is 5
The given function is f(x)= x²+5, when x≤0
f(x)=2x when x>0
\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)
Which is \(\lim _{x\to 0^-}\left x^2+5\)
The given limit is a left hand limit as there is minus in the limits
When we apply x as 0 we get the value 5
Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)
So \(\lim _{x\to 0^+}\left 2x\)
The given limit is a right hand limit as there is positive in the limits
When we apply x as 0 we get 0
Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)
Which is \(\lim _{x\to 0}\left x^2+5\)
We get 5
To learn more on Limits click:
https://brainly.com/question/8533149
#SPJ1
Consider a graph of the equation y = −3x + 4. What is the y-intercept? Answers: −3, 3, 4, −4
Answers
Answer:
When finding the y-intercept it indicates that the x-coordinate will be zero.
So,when letting x=0 you will get
y=-3(0)+4
Hence,
y=4
Step-by-step explanation:
An object has a mass of 630 kg and a volume of 7 m cube.
Find the density of the object in kg/m cube.
Answers
Step-by-step explanation:
Hey there!
According to the question;
Mass of an object (m) = 630 kg
Volume of an object (v) = 7m³
We know that;
\(density = \frac{mass(kg) \: }{volume( {m}^{3} )} \)
or, density = (630/7) kg/m³
Therefore, density of the substance is 90kg/m².
Hope it helps!
A stack of 700 pieces of paper is 10.5 inches tall. How thick is one single piece of paper?
Answers
Answer:
0.381mm or 0.015in
Step-by-step explanation:
no. of papers in the stack-700
total length of stack-10.5in
thickness of single piece of paper= 10.5/700= 0.015in=0.381mm
Which coordinates best represents the vertex of the graph first correct answer gets Brianliest
Answers
Answer:
The vertex of the graph is:
the minimum point for a parabola that opens upwardsthe maximum point for a parabola that opens downwardsAs this parabola opens upwards, the vertex is the minimum point.
From inspection of the graph, vertex = (-3, -1)
Equation of the graph
From inspection we can see that the x-intercepts are when
x = -4 and x = -2
\(\sf x = -4 \implies x+4=0\)
\(\sf x = -2 \implies x+2=0\)
Therefore:
\(\sf y=(x+4)(x+2)\)
Expand:
\(\sf \implies y=x^2+6x+8\)
Answer:
\(B)f(x) = {x}^{2} + 6x + 8\)
Step-by-step explanation:
Let \( f(x)=x^2\) be the parent function. With transformation of function, firstly,we know that,
We can move it up or down by adding a constant to the y-valuealgebraically
g(x)=x²+CClearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to
f(x)=x²-1secondly, we know that,
We can move it left or right by adding a constant to the x-valuealgebraically,
g(x)=(x+C)²in case,
C is positive, g(x) moves to the left and vise versaSince the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes
\(f(x) = (x + 3 {)}^{2} - 1\)simplifying it yields:
\(\implies \boxed{f(x) = {x}^{2} + 6x + 8}\)
Hence,B is our required answer
An HVAC technician is comparing pension plans for two different job offers. First offer: $58,000 average annual wage, 1.6% per year of service, with a monthly pension payment of $1,546.67 after 20 years of service Second offer: $64,900 average annual wage, 1.3% per year of service The technician plans to work for the same amount of time at each company. What is the difference in monthly pension payments?
Answers
Answer:
First, we need to calculate the total amount of the pension for the first offer:
$58,000 x 0.016 x 20 = $18,560 per year
Then, we can calculate the monthly pension payment:
$18,560 / 12 = $1,546.67 per month
For the second offer, we need to calculate the annual pension amount:
$64,900 x 0.013 x 20 = $16,828 per year
And then the monthly pension payment:
$16,828 / 12 = $1,402.33 per month
Finally, we can calculate the difference in monthly pension payments:
$1,546.67 - $1,402.33 = $144.34
Therefore, the difference in monthly pension payments is $144.34.
bithssbsjjsjsnsisjslala
Answers
find the nth term 5 20 45 80 125
Answers
Answer:\(10n^{2}\)+180
Step-by-step explanation:
PLEASE HELP!! What is the surface area of the cone?
Answers
Hope this helped
Which one doesn't belong?
A.3:4
B.4:3
C.chicken nuggets
B.dots
Answers
Answer:
C
Step-by-step explanation:
3:4
4:3
and the dots are 4:3
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Answers
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
for more such questions on mean
https://brainly.com/question/1136789
#SPJ8
(2x-7)/4=(x+3)/3
someone help me?
Answers
=
3
3
2
hope it's helpful for you
Answer:
x=33/2
Step-by-step explanation:
\(\frac{2x-7}{4}\)=\(\frac{x+3}{3}\)
do cross multiplication
4(x+3)=3(2x-7)
4x+12=6x-21
12+21=6x-4x
33=2x
33/2=x
Which of the following is the graph of f(x) = 5 cos (2x)? Select one: a. graph with points 0, 5 and pi over 4, 0 and pi over 2, negative 5 and 3 pi over 4, 0 and pi, 5 b. graph with points at 0, 0 and pi over 4, negative 3 and pi over 2, 0 and 3 pi over 4, 3 and pi, 0 c. graph with points 0, negative 5 and pi over 4, 0 and pi over 2, 5 and 3 pi over 4, 0 and pi, negative 5 d. graph with points at 0, 5 and pi over 4, 2 and pi over 2, negative 1 and 3 pi over 4, 2 and pi, 5
Answers
The required graph has been attached below that represents the function f(x) = 5 cos (2x).
The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.
Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.
The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).
Thus, the graph has been attached below that represents the given function.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ1
find a ratio that is
equivalent to 3 to 8.
Answers
Answer:
18 to 48 would be one
9 to 24 would be one as well
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
Answers
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
Learn more about Future Value here:
https://brainly.com/question/14860893
#SPJ1
ahhhhhh helpp plsssssssssssssssssssssssssssssssssssssss
Mariah invested her money. The balance in the account for any given year is modeled by the function f(t)=400(1.15)t , where t represents the number of years after she opened the account. Colton invested his money and his balance is modeled by the function represented in the table:
Year 0 1 2 3 4
Balance ($) 500 550 600 650 700
Compare the two functions. Which statements are correct?
Select each correct answer.
Question 1 options:
Colton's account will always have a higher balance than Mariah's for any given year.
Mariah's balance will always be higher than Colton's for any given year.
In the fifth year, Mariah's balance will be higher than Colton's.
Mariah's beginning balance was $400 and Colton's beginning balance was $500.
In the fifth year, Colton's balance will be higher than Mariah's.
Answers
The correct options include:
b. In the fifth year Mariah's balance will be higher than Colton's
c. Mariahs beginning balance was 400 and coltons beginning balance was 500.
What are functions?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, from the table
(0, 500), (1, 550), (2, 600), (3, 650) and (4, 700)
The equations for the given points is y=500+50t
Put t=0, 1, 2, 3, 4 in f(t)=400(1.15)t
When t=0, f(0)=$0
When t=1,
f(1)=400×1.15×1
= $460
When t=2,
f(2)=400×1.15×2
= $920
When t=3,
f(3)=400×1.15×3
= $1380
When t=4,
f(4)=400×1.15×4
= $1840
Fifth year:
The balance in Mariah account is
f(t)=400(1.15)t
⇒ f(5)=400×1.15×5
= $2300
The balance in Colton account is
y=500+50t
⇒ y=500+50(5)
= $750
Learn more about functions on:
https://brainly.com/question/25638609
#SPJ1
Alijon gets a job selling kitchen supplies. He makes a salary of $450 per week plus 5% commission of all sales. If he sells $895 worth of kitchen supplies this week, find how much he made in total.
Answers
y = $ he made in total
\(\begin{gathered} y=450+(895\times\frac{5}{100}) \\ y=450+44.75 \\ y=494.75 \end{gathered}\)he made in total $ 494. 75
Pls help me I really nee it pls pls pls pls
Answers
Find the trigonometric functions for angle e and angle d
Answers
Answer:
∠E = tan
∠D = tan
Step-by-step explanation:
Common sense, only perpendicular and base is present.
Station One: Helena works for a publishing firm. She is considered an average typist and can
type 52 words/minute.If she continues at this rate, how many words would Helena type in 4
minutes?
Answers
So in 4 minutes
52 x 4 = 208
208 words in 4 minutes.
BRANLIEST? :)
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
Answers
To reflect a point across the line y=3, we find the point that is the same distance from y=3 as the original point, but on the opposite side of the line. In this case, the original point is B(−4,−6), which is 9 units below y=3. The image point will be 9 units above y=3, so it will have a y-coordinate of 3+9=12. The x-coordinate remains the same, so the image point is B
′
(−4,12).
please help!! I need it step by step I don't understand
Answers
Answer:
x≤-2 or x≥4
Step-by-step explanation:
Its because the direction the arrow is facing depends on the sign. So if the sign is ≤ it would go backward(or into the negatives) and its the opposite for the other sign. If the dot on the arrow it filled in then it will have a line under the sign like this: ≤. If it is a open circle it looks like this: <.
I don’t get this please solve it please
Answers
Answer:
g=15.04
Step-by-step explanation:
g=4.7×3.2=15.04
Answer:
g/=15.03
Step-by-step explanation:
i hope it's correct in sorry if not