1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MaRussiya [10]
3 years ago
7

Find the limit and confirm using the Sandwich Theorem: lim x->infinity (1 - cosx) / (x^2)

Mathematics
1 answer:
sergejj [24]3 years ago
6 0
We are given with the expression <span> (1 - cos x) / (x^2)</span><span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.</span>
You might be interested in
Sunflower produce approximately 50 seeds per flower. If one ounce of sunflower seeds contain an average of 72 seeds, how many fl
ra1l [238]

Given :

Sunflower produce approximately 50 seeds per flower.

If one ounce of sunflower seeds contain an average of 72 seeds.

To Find :

How many flowers are needed to produce 2 pounds of seeds.

Solution :

1 pound = 16 ounces .

So , 2 pound = 32 ounces .

Number of seeds in 2 pounds of seeds, n = 32×72 = 2304 .

Number of flowers are :

N=\dfrac{2304}{50}=46.08

So , approximate number of flower required are 46.

Hence, this is the required solution.

5 0
3 years ago
6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?​
mario62 [17]

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours =>  8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = \frac{6*12}{8}

∴ x = <u>9 labours</u>

7 0
2 years ago
How to find MP when discount percent and SP are given​
nadezda [96]

Given:

Consider the discount percent and SP are given​.

To find:

The MP.

Solution:

Let x% be the discount percent Then

SP=MP-x\%\text{ of }MP

SP=MP-\dfrac{x}{100}MP

SP=\left(1-\dfrac{x}{100}\right)MP

SP=\left(\dfrac{100-x}{100}\right)MP

Multiply both sides by 100.

100SP=(100-x)MP

Divide both sides by (100-x).

\dfrac{100}{100-x}SP=MP

Therefore, the formula for MP is MP=\dfrac{100}{100-x}SP, where x is the discount percentage.

7 0
2 years ago
The equation that describes the relationship is y =
Rainbow [258]
I just need point tbh so thanks !!
7 0
2 years ago
Read 2 more answers
5. SLOPE need help like, ASAP, tysm
Papessa [141]

Answer:

Since it's a horizontal line the slope would be 0

Step-by-step explanation:

Horizontal Lines A horizontal line is a line whose equation is of the form =, where is a real number. All points that lie on the line have a -coordinate of . The slope of any horizontal line is zero, 0.

3 0
2 years ago
Other questions:
  • Frosted furniture makes dining room furniture. A buffet requires 30 hours for construction and 10 hours for finishing. A chair r
    7·1 answer
  • Solve the radical equation x-8= 37-4x
    6·2 answers
  • 4.7% of the 6540000 indiana residents were listen foreign born in 2012, how many people in indiana were foreign born?
    6·2 answers
  • Which race description correctly interprets the graph?
    10·2 answers
  • A Basketball Tournament starts with 128 Teams.in each round half of the teams are eliminated How Many teams remain after 5 round
    11·2 answers
  • PLS HELP ME, I NEED TO ANSWER THIS IN 15 MINUTES!!!
    8·2 answers
  • PLEASE HELP ME IM STUCK ON MY MATH EXAMS
    11·1 answer
  • What is 7.5% less than 120
    8·1 answer
  • Can anyone find the answer to this?
    5·1 answer
  • 1. Write your own word problem and share it with the group.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!