identify each expression that represents the slope of a tangent to the curve y=1/(x+1) at any point (x,y).

Identify Each Expression That Represents The Slope Of A Tangent To The Curve Y=1/(x+1) At Any Point (x,y).

Answers

Answer 1

Answer:

Step-by-step explanation:

lim         1 / (x + h +1) - 1 (x + 1)

x--> 0

lim         -h/ (x + h +1)(x + 1)

x--> 0

lim         -h/ (x^2 + 2x + hx + h + 1)

x--> 0

-1/ (x^2 + 2x + 1)


Related Questions

If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)

Answers

--

the probability of getting one head and one tail on the toss of two coins is 0.5percent chance

On a map. 1 inch equals 10 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities? The actual distance between the cities is miles.​

Answers

Answer:

20 mile

Step-by-step explanation:

One inch is equivalent to 10 miles. Given this comparison in regards to scale, 2 inches would simply be 2 times that. In basic terms, 2 times or inches multiplied by each 10 mile increment would be stated as 2 inches x 10 miles, resulting in a 20 mile distance between the two cities.

And a recent year 28.1% of all registered doctors were females if there were 42,000 female registered doctors at your what was the total of registered doctors?

Answers

Answer:

Step-by-step explanation:

Discussion

This is a proportion question. A proportion is 2 ratios separated by an equal sign.

If you know three of the components you can solve for the fourth.

Givens

28.1 % are females

42000 are female doctors.

100% is what is required.

Equation

28.1% / 100% = 42000 / x                  Cross Multiply

28.1 * x = 42000 * 100                        Combine

28.1 * x = 4200000                             Divide by 28.1

28.1/28.1 x = 4200000/28.1

x  = 149466 is the total doctors

Answer

149366 is the total number of doctors.


Which of these decimals is the smallest?
0.38
0.376
0.3745
0.375

Answers

Answer .3745
Reasoning

.38 is hundredths
.375 and .376 are thousandths
.3745 is ten thousandths - the smallest unit of the choices. See picture for further visual on the smallest decimal

What is the median of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3

Answers

Answer:

[tex]2.75[/tex]

Step-by-step explanation:

Step 1:  Determine the median

[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]

The median of a set is the middle of the set.  In this instance, we have 6 numbers so we don't have a number directly in the set representing the median.  Instead, we need to find the average or middle between the 3rd and 4th number.  So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.

Answer:  [tex]2.75[/tex]

There are 6 numbers in the list. So you will need to find the average of the 3rd and 4th value which is 2.7 and 2.8. To find the average you need to add 2.7 and 2.8 which is 5.5 and then divide by 2 which is 2.75

Answer is 2.75

PLEASE HELP PLEASE HELP PLEASE

Answers

Answer:

1:1

Step-by-step explanation:

PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14

Answers

|x|>14

Case 1

x>14

Case 2

-x>14x<-14

Option A

It's impossible thing

Is q = 5 a solution to the inequality below? q ≤ 8

Answers

Answer:

brainly please

Step-by-step explanation:

yes because 5 is less than 8

Answer:

No, the correct solution is q < 8 because 5 can not be equal to 8 but rather less than 8 (only)

Find the missing length

Answers

Apply Pythagorean theorem

H²=P²+B²x²=14²+10²x²=196+100x²=296x=17.8

At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.

Answers

Answer:

2-point shots = 41, 1-point shots = 16

Step-by-step explanation:

Let the number of 1-point shots is x and 2-points shots is y.

The system as per question is

x + y = 571*x + 2*y = 98

Solve it by elimination, subtract the first equation from the second

x + 2y - x - y = 98 - 57y = 41

Find the value of x

x + 41 = 57x = 16

find tan0 please help fast!

Answers

Answer:

Tan(51.06) = 1.24 so the correct answer is A

Step-by-step explanation:

Sin0 = 7/9

0 =Arcsin(7/9)

0 =51.06

So,

Tan(51.06) = 1.24 so the correct answer is A

Answer:

A. [tex]\frac{7\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Finding the missing side :

7² + x² = 9²

x² + 49 = 81

x² = 32

x = 4√2

Taking the tan value :

tanθ = 7/(4√2)

tanθ = 7(4√2)/4√2(4√2)

tanθ = 28√2/32

tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]

You conduct a survey that asks 350 students in your class about whether they prefer pizza or chicken for school lunch. One hundred eighty-nine males respond, 95 of which prefer pizza. Fifty-two females prefer the chicken. Part A: Organize the results in the two-way table provided. Male Female Total Pizza Chicken Total 189 161 350 Part B: What percent of females like the pizza?

Answers

El oh Elllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor?

A. (2w2 + 90w) m2
B. (6w2 + 120w + 875) m2
C. (4w2 + 180w + 1800) m2
D. (4w2 + 180w) m2

Answers

Answer:

d.  (4w2 + 180w) m2

Step-by-step explanation:

Area of tiled floor = (area of tiled floor+ pool ) - area of pool

area of pool =l x b = 30 x 60 =1800  ...............a

length of pool + tiled floor = 30+2w

breadth of pool + tiled floor = 60+2w

Hence, (area of tiled floor+ pool ) =

(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b

b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w


Jeremy is x years old. He is 5 years younger than his sister. Together, the sum of their ages is 29 years.
Enter an equation that can be used to find Jeremy's age (x).

Answers

5 + x = 29

If you need me to solve it I’ll do it

A particular candle gives out 4 lumens more light than the average. The standard deviation is 3 lumens. What
percentage of candles give out more light than this one?

Answers

It gives 25% more, as 25 x 4= 100%.

Isaiah’s Ice Cream Shoppe has 12 different toppings to choose from for their famous sundaes. A customer is allowed to choose any combination of 3 toppings free of charge.

How many different combinations of 3 toppings can be made from the 12 options?

Answers

Answer:

36 different combinations

Which expression is not equivalent to −4x3+x2−6x+8?

Answers

The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The expression given in the problem is

f(x)=-4x³+x²-6x+8

The option given as,

(1) x² (-4x+1)-2(3x-4)(2) x(-4x²- x + 6) + 8(3) -4x³ + (x - 2)(x - 4)(4) -4(x³ - 2) + x(x - 6)

From the given expression, if we take out x from the first three terms, it looks like option 2.

f(x)=-4x³+x²-6x+8

f(x)=x(-4x²+x-6)+8

From the given expression, if the last three terms factored, it looks like option 3.

f(x)=-4x³+x²-6x+8

f(x)=-4x³+x^2-4x-2x+8

f(x)=-4x³+x(x-4)-2(x-4)

f(x)=-4x³+(x-4)(x-2)

Rearrange the given expression, and make it looks like option 4.

f(x)=-4x³+x²-6x+8

f(x)=-4x²+8+x²-6x

f(x)=-4(x³-2)+x(x-6)

Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

#SPJ1

Perform the indicated operations and simplify the expression 4x-1/x+4 - x +1/x-5

Answers

Step-by-step explanation:

4x-1

x+-×+1=5

×-5

there are no terms like that

An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?

Answers

The 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's assume the exponential growth is:

[tex]\rm y = Ae^{rt}[/tex]

From the problem:

[tex]\rm 130 = 20e^{5r}[/tex]

[tex]\rm e^{5r}= 6.5[/tex]

Taking ln both side:

We get:

r = 0.374

[tex]\rm 5000 = 20e^{0.374t}[/tex]

After solving, we get:

t = 14.76 ≈ 15 years

Thus, the 15 years it will take its population to reach 5,000 if  initial population of 20 organisms.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

If f(x) = 2x − x² + 3, find f(x − 4).

Answers

Answer:

−x^2+10x−21

Step-by-step explanation:

Hope this helped you! If this is wrong, please tell me and have a good day!

please help me i don't understand

Answers

I think this is the answer see
the photo

I don’t understand and I need the answer

Answers

Answer:

y2 + 2y + 80

Step-by-step explanation:

Hope this helpd :) Mark brainliest?

Answer:-21

Step-by-step explanation:

-21 i think but im pretty sure

2. Determine the value of x for which r l s if
.
m<1 = 40 - 4x; and
m<2 = 50 - 8x.
A. 1.5
B. 2
C. 30
D. 2.5

Answers

Answer:  x = 2.5   (choice D)

Explanation:

If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.

This means we'll set the angles equal to one another and solve for x.

angle1 = angle2

40-4x = 50-8x

-4x+8x = 50-40

4x = 10

x = 10/4

x = 2.5

Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal

Answers

Answer:

D. Coal.

Step-by-step explanation:

Doesn’t really affect the earth in any way.

to win at lotto in one state one must correctly select 7 numbers from a collection of 57 numbers. how many different selections are possible

Answers

57C7, the answer is 264,385,836 different selections

solution for this one step by step please

Answers

Answer:

[tex]D.\:\:\:\:\:\sec^4\theta[/tex]

Step-by-step explanation:

[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex]

[tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex]

[tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex]

[tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex]

[tex]=\sec^4\theta[/tex]

Hope it helps you in your learning process.

Answer:

D

Step-by-step explanation:

using the identities

1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then

[tex]\frac{1+tan^20}{cos^20}[/tex]

= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]

= sec²Θ × sec²Θ

= [tex]sec^{4}[/tex]Θ

HELP! PLEASE! I will mark you brainalist!!!!!

Answers

Answer:

Step-by-step explanation:

Problem a

a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.  

The top angle = x

x + 70.5 + 70.5 = 180      All triangles have 180 degrees.

x + 141 = 180                    Subtract 141 from both sides

x + 141-141 =180 - 141       Combine

x = 39

c + 39 + 87.2 =180           Combine the left

c + 126.2 = 180                 Subtract 126.2 from both sides

c+126.2-126.2 = 180-126.2

c = 53.45

Answer: 53.45

Problem B

Comment

Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.

Supplement of 115.6

Call the supplement = y

y + 115.6 = 180                         Supplementary angles = 180 degrees

y +115.6-115.6 = 180 - 115.6     Combine

y = 64.2

Now we need the supplement of 99.9

Call the supplement = z

z + 99.9 = 180                           Supplementary angles = 180

z+99.9-99.9 = 180-99.9

z = 80.1

Now subtract y + z from 180

180 - 64.2 - 80.1 = x

x = 35.7

x is opposite d

d = x

d = 35.7 degrees.

Answer

d = 35.7

Anybody know this? Please and thankyou!

Answers

Answer:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]

Step-by-step explanation:

log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]

Can someone answer theese questions I WILL GIVE BRAINLIST and thanks and a 5 star if they are correct

Answers

The first question I think it’s A because 1.13 is larger than 1.2
I hope this helps

If my grade is currently a B, 86% and I get a 50% or higher on a test has 100 questions and that is 30 percent of my grade, what will my grade be?

Answers

Answer:

like a 85 hop this helps I'm so sorry have a good day stay safe

Answer:

your grade will be 166%.

Step-by-step explanation:

First I subtract 86-50=36.

second I add 100+30=130.

total is 130+36=166%

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