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
fredd [130]
1 year ago
5

Use a graphing utility to graph the function and visually estimate the limits.

Mathematics
1 answer:
levacccp [35]1 year ago
8 0

The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = 4x cos x

First to calculate the limit value of the given function at x=0.

\lim_{x \to 0} f(x) = \lim_{x \to 0} 4x cosx

                   = 4×0×1                              (∵ cos0 = 1)

\lim_{x \to 0} f(x) = 0

Similarly,

\lim_{x \to \frac{\pi }{3} } f(x) = \lim_{x \to \frac{\pi }{3} } 4x cosx

                     =  4×\frac{\pi }{3}×cos\frac{\pi }{3}

                     =  4×\frac{\pi }{3}×\frac{1}{2}                          (∵cos60° = \frac{1}{2})

\lim_{x \to \frac{\pi }{3} } f(x)  = 1.153

Hence, The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

#SPJ9

You might be interested in
For what value of a does 9=1/27a-3
USPshnik [31]

Answer:

a = 324

Step-by-step explanation:

9=1/27 a -3

value of a = ?

9=(1/27) a  -3

9 + 3 = (1/27) a

12 = (1/27) a

12 x 27 = a

a = 324

6 0
3 years ago
Your mother gave you $13.32 to buy a present. This covered 1/5 of the cost. How much did the present cost?
Nady [450]

Answer:

$66.60

Step-by-step explanation:

Step 1 so she gave you 13.32 and covers 1 fifth of the cost so you have to times 13.32 by 5 to get how much does the present cost so the total after I times 13.32 by5 equals $66.60

6 0
3 years ago
Can somebody explain Literal equations to solve for a given variable? i am so confused about it
anastassius [24]

The explanation of using Literal equations to solve for a given variable is as explained below.

How to solve Literal Equations?

Literal equations are equations containing two or more variables; at least one independent variable and one dependent variable

To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.

Linear equations in one variable may take the form ax + b = 0  and are solved using basic algebraic operations.

We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.

Read more about Literal Equations at; brainly.com/question/1852246

#SPJ1

8 0
1 year ago
Assume that human body temperatures are normally distributed with a mean of 98.22 degrees Upper F 98.22°F and a standard deviati
Anna35 [415]

Answer: 0.00102%

Step-by-step explanation:

Given : Human body temperatures are normally distributed with a mean of \mu=98^{\circ}Fand a standard deviation of s=0.61^{\circ}F

A hospital uses 100.6^{\circ}F as the lowest temperature considered to be a fever.

Let x be the random variable that represents the human body temperatures.

z=\dfrac{x-\mu}{s}

For x= 100.6, z=\dfrac{100.6-98}{0.61}=4.26229508197\approx4.26

Using normal distribution table for z-values for right-tailed area ,

P(x>100.6)=P(Z>4.26)=0.0000102=0.00102\%

Hence, the required probability = 0.00102%

8 0
3 years ago
Plato combining functions mastery test please help
just olya [345]

Answer:

<em>Choice: B.</em>

Step-by-step explanation:

<u>Operations With Functions</u>

Given the functions:

f(x)=\sqrt[3]{12x+1}+4

g(x)=\log(x-3)+6

The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:

(g-f)(x)= g(x) - f(x)

(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)

Operating:

(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4

Joining like terms:

\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}

Choice: B.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Jamal works at the recreation center 15 hours a week during the school year he earns $ 8.75 an hour in a typical month he works
    13·2 answers
  • The formula for finding the area of a square that has a side length, s, is A = s^2. If a square has an area of 40 square units,
    15·2 answers
  • Distributive property: integer coefficients
    14·2 answers
  • Y=2x x=-y+6<br> What does it equal to
    13·1 answer
  • There are 50 students in the fifth grade one day 20% of them were absent how many fifth graders were in class that day
    13·1 answer
  • Please help me guys I will give the first person who answer a Brilliant
    8·1 answer
  • Give examples of rational and irrational numbers and explain the difference between them.
    8·1 answer
  • PLZ ANSWER FAST!!!! THE FIRST ANSWE GETS BRAINLIEST
    14·2 answers
  • Write the equation of a line perpendicular to y = 1/3x - 9 that passes through the point (-6, 10)
    12·1 answer
  • (0, - 8) and (3, 2).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!