CALCULUS: Which of the following functions grows the fastest as x goes to infinity?
A. 2^x
B. ln(x)
C. sin(x)
D. x^20 (I put this my first try & got it wrong)
I believe D is the right answer, but I got it wrong. Can someone please tell me why?
Answers
Answer:
It is A. 2^x
Step-by-step explanation:
For relative rates of growth, we know: Log < Poly < Exponential.
This rules out B, C, and D quickly. Although, if you do L'Hôpital's rule, it might seem like A & D are very comparable. However, if you continually took the derivative of 2^x and x^20, eventually x^20 would equal zero, while 2^x would still be a variable. So, you would have:
[tex]\lim_{x \to \infty} \frac{2^{x}}{0} =[/tex] ∞
When the limit of x as it approaches infinity is infinity, then f(x) grows at a faster rate than g(x).
Also, by looking at the graph (which is attached), you can see that 2^x grows faster than x^20.
Related Questions
slove for q: q/10 = 4
Answers
Answer:
4
Step-by-step explanation:
Answer:
1/10 = 4
Step-by-step explanation:
Jacque was selling bottles of water at the golf tournament Between 7 am and 8 am he sold 2 bottles of water, between 8 am and 9 am he sold 8 bottles, and between 9 am and 10 am he sold 32 bottles. If this trend
continues, how many bottles of water will he sell between 10 am and 11 am?
32
64
128
256
Answers
Answer:
128
Step-by-step explanation:
becuase 7-8 he sold 2
8-9 he sold 8
9-10 he sold 32
4*2= 8
4*2=32
4*32=128
Please help
Chose of the problems a or b
Thank you!!
Answers
Answer:
a. x = 13m, b. x = 12cm
Step-by-step explanation:
a. x² = 12² + 5² (Pyth. theorem)
x = 13 m
b. 15² = 9² + x² (Pyth. theorem)
x = 12 cm
pentru triunghiurile congruente ijk si lmn sau scris cate trei congruente ale elementelor acestora scrie congruentele lipsa
Answers
i am just doing this so I can get more answers
Step-by-step explanation:
Calculate the volume of this triangular prism?
Answers
Answer:
960 sq cm
Step-by-step explanation:
(16*12*10)/2
9 Henry has a length of string that is 2,850 centimeters
long. He needs some pieces that are 78 centimeters
long for an art project. What is the greatest number
of pieces that Henry can cut?
What is a explanation
Answers
Answer:
36
Step-by-step explanation:
2850/78 = 36.538
Answer:
36.538
Step-by-step explanation:
since he has 2,850 worth of string and he needs 78 pieces, you would divide 2,850 by 78 which gives you 36.53846154 but you would make it 36.538. if you needed to round by the tenths, its 36.5, hundredths is 36.54, and thousandths is 36.538.
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5
Find the area of a triangle ABC when m is less than C = 14 degrees, a = 5.7 miles, and b = 9.3 miles.
Answers
Answer:
[tex]Area =6.41mi^2[/tex]
Step-by-step explanation:
Given
[tex]a = 5.7[/tex]
[tex]b = 9.3[/tex]
[tex]c = 14^\circ[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area =\frac{1}{2}* a * b * sin(c)[/tex]
So:
[tex]Area =\frac{1}{2}* 5.7 * 9.3 * sin(14)[/tex]
[tex]Area =\frac{1}{2}* 5.7 * 9.3 * 0.2419[/tex]
[tex]Area =6.41mi^2[/tex]
Answer:
The answer is 6.41!
Step-by-step explanation:
I took the test and this is correct
mathematical literacy
Answers
Answer:
hope that help
Step-by-step explanation:
Mathematical literacy is defined as: "an individual's capacity to formulate, employ and interpret mathematics in a variety of contexts. It includes reasoning mathematically and using mathematical concepts, procedures, facts and tools to describe, explain and predict phenomena.
In two or more complete senteces compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in the graph of g(x)=x^2-7. Be sure to include the transformation that occured between the parent function f(x) and its image g(x)
Answers
Answer:
Step-by-step explanation:
f(x) = x² is an up-opening parabola with vertex (0,0). There is one x-intercept, and that is the vertex.
g(x) = x²-7 is the equivalent to f(x) shifted down 7 units. Since the vertex is below the x-axis and the parabola opens upwards, it intercepts the x-axis at two points.
HELP PLS WUICK! GIVING OUT BRAINLIST
Answers
hope this helps
A person locked or android phone with a swipe code on a phone with a 3 x 3 gridlock that’s considered an example where the swipe code must start with the top left button and must pass through two more buttons each executive button is adjacent up down left right or diagonal how many swipe codes are they possible
Answer 15,18
Answers
Answer:
15
Step-by-step explanation:
Answer:
It says 15 18 is correct
Step-by-step explanation:
A car travels 6 mile in 2 hours what is the unit rate
A 3 miles/ hour
B 1 mile/3 hour
C 3 /1 mile
D6 miles/ 1 hour
Answers
Answer:
A
Step-by-step explanation:
This is a fraction equal to
6 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
6 miles ÷ 2 2 hours ÷ 2= 3 miles1 hour= 3 miles hour = 3 miles per hour
Let X and Y be the following sets:
X = {}
Y = {2,3, 5, 7, 11, 13}
Which of the following is the set X Y?
Answers
Answer: the answer is B
Step-by-step explanation:
mr kabi invest k375 at a simple interest rate of 8.375 per annum what amount will his investment grow to over 4 years 8 months?
Answers
Answer:
I am not sure
Step-by-step explanation:
Sorry
The invested amount will be k 521.56 after 4 years 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that:
Mr Kabi invest k375 at a simple interest rate of 8.375 per annum
The invested amount = k 375
Rate of interest = 8.375 per anum
Rate of interest = 8.375/12 per month
Rate of interest = 0.6979 per month
Number of months = 4x12 + 8 = 56
As we know, the formula for the simple interest is given by:
A = P(1 + rt)
A = 375(1 + 0.6979×56)
A = k 521.56
Thus, the invested amount will be k 521.56 after 4 years and 8 months if Mr. Kabi invests k375 at a simple interest rate of 8.375 per annum.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
work out 4/5 - 1/5
work out 9/11 +5/11
work out 3/4 + 1/8
Answers
Answer:
4/5-1/5=6.0
9/11+5/11=1.27
3/4+1/8=0.875
After a birthday only 1/4 cake ramains what fraction is equivalent 1/4
Answers
Answer:
2/8, 3/12, 4/24, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, etc.
Step-by-step explanation:
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answers
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Answers
Answer:
560/9 or around 63 cubes
Step-by-step explanation:
2 2/3 -> 8/3
3 1/3 -> 10/3
2 1/3-> 7/3
7/3 x 8/3= 56/9
56/9 x 10/3 = 560/27
560/27 divided by 1/3
= 560/9
what name of triangle name is when they only have two side the same lenght
Answers
It's name is “isosceles triangle”
Ryan practiced 43.2 minutes on Monday on his violin. Tuesday, he practiced 37.48 minutes. If he practiced a total of 114.34 minutes for Monday, Tuesday, and Wednesday, how many minutes did Ryan practice on Wednesday?
Ryan practiced ________ minutes on Wednesday.
please help :)
Answers
Answer:
Ryan practiced 33.66 minutes on Wednesday
Step-by-step explanation:
You do 43.2+37.48 and it equals 80.68
Then you do 114.34-80.68 which equals 33.66
which one ??????????????????????????
Answers
Answer:
That if I do not know friend, sorry
help meh I keep doing bad :/
Answers
Answer:
5,009.206
Explanation:
Chloe biked the same distance each day for 9 days. If she traveled 513 kilometers altogether, how many kilometers did she travel each day?
Answers
Answer:
57 kilometers a day.
Step-by-step explanation:
I just divided 513 by 9 and got that.
20% of ___ is 10 pls help me ✌
Answers
Answer:
200
Step-by-step explanation:
i hope this is right if not sorry
How can I solve the following systems using Gaussian elimination method, w+2x-y=4, x-y=3 , w+2x-2y=7 2u+4v+w+7x=7?
Answers
Collect like terms
Divide both sides of the equation by
Write the solution in parametric form
The next to one is
Move the variables to the right-hand side and change their signs
Divide both sides of the equation by
Write the solution in parametric form
U = 7/2 -2v - 1/2w-7/2x, ver,
Wer , xer
What is the value of x in the figure below?
Answers
3x=35-8
3x=27
x=27/3
x=9
Find the value of x 116 degrees and 33 degrees
Answers
Answer:
x = 31 degrees
Step-by-step explanation:
This is a triangle because there are 3 angles so they all add up to 180 degrees.
116 + 33 + x + 180 Add 116 and 33
149 + x = 180 subtract both sides by 149
x = 31
A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.
Max spends the day running errands and visiting the following locations before heading back to his apartment.
Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)
Which of the following options has a distance of 12 city blocks? Select three that apply.
HURRY
Answers
Answer:its library to police station
Step-by-step explanation:
Find the area of the shape
Answers
Explanation: in photo below
