For values of h very close to 0, which function best approximates (tan(x+5)-tan x) / h

Answers

Answer 1

Answer:

[tex]sec^2(x)[/tex]

Step-by-step explanation:

This just means, what is the derivative of tan(x)
Answer 2

The function that best approximates the given situation is sec²x.

We have to find

[tex]\lim_{h \to\00} \frac{tan(x+h)-tan x}{h}[/tex]

Since the given expression reduces to 0/0 form when we apply the limits

So, let us apply the L'hospital rule

What is the L'hospital rule to find a limit?

L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.

So, after differentiating the numerator as well as the denominator of the given expression with respect to h we get

[tex]\lim_{h \to\00} \frac{sec^2(x+h)-0}{1}[/tex]

[tex]= lim_{h \to\00} \frac{sec^2(x+0)}{1}\\\\= sec^2x[/tex]

Therefore, the function that best approximates the given situation is sec²x.

To get more about limits visit:

https://brainly.com/question/23935467


Related Questions

Due in half an Hour. Thanks for your help.

Answers

Answer:

C and $320.45

Step-by-step explanation:

I think it's C because this is the full function :

[tex]b = 26 \times d + 3.5 \times 13 + 14.95[/tex]

And to get the b part of the question i just put the number in

[tex]b = 26 \times 10 + 3.5 \times 13 + 14.95 = 320.45[/tex]

I'm not a 100% sure, sorry if it's wrong

z divided 4; z=824 ,(evalute each expression for the value given)

Answers

Answer:

206 is the answer for you if am wrong sorry

Answer:

206

Step-by-step explanation:

z = 824/4

Z = 206

so therefore Z is equals to 206

URGENT HELP NEEDED PLEASE

Answers

Answer:

line j

Step-by-step explanation:

The answer is line J . - I looked at the line to see if a point landed on -3 .

please help idk how to do this hdhhhhdh

Answers

Answer:

d: c=16f

Step-by-step explanation:

Answer:

Step-by-step explanation:

c=16f

HELP PLEASE
14-(-5)+12+(-18)=

Answers

Answer:

13

Step-by-step explanation:

because wothe the power of God and anime-

I think the answer is 13
Let me know if its right :)

I WILL GIVE 50 POINTS
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!
Please!!! For the love of GOD can someone answer this quickly!!!!!

Answers

Answer:

Using pythagorean th. you can easily prove it by squaring and adding the first two numbers whose square root will be equal to 3rd one. Try it!!

Eg: 3^2 + 4^2 = 5^2

Step-by-step explanation:

3² + 4² = 25 = 5²

8² + 15² = 289 = 17²

Answer:

3^2+4^2=5^2

9+16= 25= 5^2=

25     = 25  

8^2+15^2= 17^2

64+225= 17^2

289   =      289

Step-by-step explanation:

both side a and side b are equal to side c

Maya is interning at a law firm over the summer and is paid by the hour. Her hourly wage is $52. Write two equations represent the proportional relationship between the wages she earns (w) and the number of hours (h).

Answers

Answer:

The two equations are;

w = 52 h

and h = w/52

Step-by-step explanation:

From the question, we are told that she earns $52 in an hour

So therefore ,

W(h)= 52h

where h is the number of hours she has worked and w is the wages earned for the number of hours worked

The two equations are;

w = 52h

or w/h = 52

J + 16 - 148 + 4

Simplify the variable expression

Answers

Answer:

j-128

Step-by-step explanation:

just add the number so you do

j+16-148=4

We move all terms to the left:

j+16-148-(4)=0

We add all the numbers together, and all the variables

j-136=0

We move all terms containing j to the left, all other terms to the right

j=136

Answer:

j= -128

Step-by-step explanation:

c)
2a + 5
_______=5
3

Answers

2a + 5 = 15
So, a = 5

Answer:

24 is the answer

Step-by-step explanation:

2a + 5 = 53

     -5      -5

      0      48

2a/2= a

48/2= 24

THEREFORE a=24

Describe how the graph of y = 2x is the same and different from the graph of y = 2x - 7 explain or show your reasoning

Answers

Answer:

They are the same because they have the same slope but are different because they have different y intercepts.

Step-by-step explanation:

The slope of both lines is the same. Then the line is parallel to each other.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equations are given below.

y = 2x

y = 2x - 7

The slope of both lines is the same. Then the line is parallel to each other.

But the first line is passing through the origin and the second line is passing through (0, -7).

The graph is given below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Write an equation to find the number of allowance a chet receive in any number of weeks w​

Answers

Answer:

b

Step-by-step explanation:

What percentage of the shape is purple?
Write your answer using a percent sign (%).

Answers

Answer:

8% I think

Step-by-step explanation:

cause that 2/25 which is also 8/100

Which expression is equivalent to 4(2x + 1) - (-6x)?
14x+4
8x-2
2x+4
-14x-4

Answers

Answer:

14x+4

Step-by-step explanation:

4*2x=8x

4*1=4

8x--6x=14x

14x+4

Find the value of y for the given value of x. y=x2+9;x=−12

Answers

Answer:

0

Step-by-step explanation:

0 is what i got

(x + 3y) answer please

Answers

Answer:

what do you need done to it?

Answer:

Nothing can be done with this, what do you want to be done , graph?

Step-by-step explanation:

A banquet table is formed by placing three square-topped tables edge to edge. The square tabletop of each small table has an area represented by x2−6x+9. What is the overall length of the entire banquet table?

A.[tex]3x^{2} -9[/tex]
B.[tex]x-3[/tex]
C.[tex]3x^{2} -18x+27[/tex]
D[tex]3x-9[/tex]

Answers

Answer:

Option D: 3x - 9

Step-by-step explanation:

We are told that A banquet table is formed by placing three square-topped tables edge to edge.

This means means that the 4 sides are equal and the length of the entire banquet table is; 3 x side of the table

Now, the table has an area which is x² − 6x + 9.

Thus, one side will be a factor of the quadratic equation.

From quadratic formula, the factor of the equation is; (x - 3)(x - 3)

Thus,one side is (x - 3).

So, length of entire table is;

L = 3(x - 3)

L = 3x - 9

The area of Kamar’s tabletop is a whole number of square feet. Could the length and width be decimal numbers each with one decimal place? Explain your answer.

Answers

Answer:

Pic?

Step-by-step explanation:

pls pls help!! there's 3 images.
I WILL MARK YOU BRAINLIEST IF U GET IT RIGHT

Answers

Answer:

im not sure about the 1st one but sec one is 162 i think and im  i dont know the last eaither srry  

Step-by-step explanation:

I really need help and if you know the answers for the rest on the assignment please tell me

Answers

Answer:

igbr8gv9rt0ingr3tebegvijb3tu9hrn9vuorgnbrugngfboipbn tufgnvigfuobrengty98bnvfrgubndifvnjthbi rvjunmtybtbtbfgbN

Step-by-step explanation:

vdf fvfvrg

all you need is in the photo ​

Answers

Answer:

4 hours mowing lawns and 4 hours washing cars. 6 hours washing cars and 2 hours mowing lawns.

Step-by-step explanation:

Car washing gets paid more so it would only be fair if he worked more hours of washing cars than mowing lawns. Hope this helped you!!

12. Graph the following linear equations. State the slope and y-intercept for
each.
a. y= 5x – 2
b. y= 2x + 10
C. y= -25x + 100

Can someone help me?

Answers

We would need to see a picture in order to solve

-8/9 divided by -8/9 in fraction form

Answers

Answer:

1

Step-by-step explanation:

If you ever divide a number by itself, it will be 1.

Answer:

I believe its 1

Step-by-step explanation:

At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75. The sales tax is $0.98 and they leave a tip of $5.85. How much did Brianna and Naomi spend in all?

Answers

Given :

At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75.  

The sales tax is $0.98 and they leave a tip of $5.85.

To Find :

How much did Brianna and Naomi spend in all.

Solution :

Total expenses, T = Food + tax + tip

T = $( 6.50+9.75) + $0.98 + $5.85

T = $( 16.25 + 0.98 + 5.85 )

T = $23.08

Therefore, total expenses is $23.08 .

Hence, this is the required solution.

answer and work please

Answers

Answer:

I think the answer is 10 cats could be 2 maybe

Step-by-step explanation:

Jen has X cats.

Sister has 3x-2 cats.

3x-2 = 4

X = 2

3x-2 is the equation
4=3x-2
3x=6
x=2
jen has 2 cats

Solve the system by substitution.
--5x - 9y = 33
-Y - 1 = x

Answers

Answer:

(12/7, -19/7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

--5x - 9y = 33

-y - 1 = x

Step 2: Simplify systems

5x - 9y = 33

-y - 1 = x

Step 3: Solve for y

Substitute:                              5(-y - 1) - 9y = 33Distribute 5:                            -5y - 5 - 9y = 33Combine like terms:               -14y - 5 = 33Isolate y term:                         -14y = 38Isolate y:                                  y = -19/7

Step 4: Solve for x

Define:                              -y - 1 = xSubstitute:                        -(-19/7) - 1 = xSimplify:                            19/7 - 1 = xSubtract:                           12/7 = xRewrite:                             x = 12/7

And we have our final answer!

Select the correct answer from the drop-down menu. In this triangle, the product of tan A and tan C is .

Answers

Answer:

https://brainly.com/question/14708539

which statement is false ?

Answers

Answer:

C

Step-by-step explanation:

The wrong answer is: C

hope this helps!

The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter.

h = negative 16 t squared + 105 t + 3

Why is the height of the ball a function of time?
Each value of time is associated with exactly one height.
Each height of the ball is associated with exactly one moment in time.
There is exactly one time at which the maximum height is attained.
There is a maximum and minimum height that the ball can reach.

Answers

Answer:

its A.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Please help show how u know it’s correct

Answers

Answer:

7. Three angles are congruent but it is not enough to determine congruence, sides can still be different

- Not enough info

8. Hypotenuse and one leg are congruent

- HL

9. Angles N and L are congruent, also angles K are vertical, so congruent, in addition one non-included side is congruent

- AAS

10. S is midpoint of DT, so DS≅ST, also RS≅SB, the angle in between is also congruent as vertical

- SAS

x varies directly with y, x =16, y=36, find x when y is 90

Answers

Answer:

The answer is 40 I believe

Step-by-step explanation:

36 divided by 16 is 2.25, 90 divided by 2.25 is 40

Answer:

try 70

Step-by-step explanation:

Other Questions
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