differentiate y=a/x+b with respect to x, when a and b are constant​

Answers

Answer 1

Answer:

-a/(x+b)²

Step-by-step explanation:

Given the function y = a/x+b

To differentiate, we will use the quotient rule.

dy/dx = (Vdu/dx-Udv/dx)/V²

Let u   = a

v = x+b

Note that differential of a constant is zero

du/dx = 0

dv/dx = 1

Substitute

dy/dx = (x+b)0 - a (1)/(x+b)²

dy/dx = 0 - a/(x+b)²

dy/dx = -a/(x+b)²


Related Questions

Triangle A'B'C'is the result of reflecting triangle ABC across the line l

Choose all answers that apply

a. BC and B'C' are both perpendicular to the y-axis

b. <B and <B' have the same measures

c. The perimeters of ABC and A'B'C' are the same
D. None of the above

Answers

9514 1404 393

Answer:

  b, c

Step-by-step explanation:

Reflection across a line is a "rigid" transformation, so linear measures and angle measures remain unchanged. (b and c are true statements)

Reflection across a line skew to the y-axis will mean that any segment originally perpendicular to the y-axis will not be after the reflection. ('a' is not a true statement)

find 3/4 of 32
please show all your work for full credit

Answers

Answer:

24

Step-by-step explanation:

[tex]\frac{3}{4} *32\\=\frac{3}{4}*\frac{32}{1} \\=\frac{96}{4} =24[/tex]

Of means product which is also called multiplication. 3/4 of 32 is the same as 3/4 multiplying 32 which is 24.

Complete the proof.
Given:
R↔S tangent to circle A and circle B at points R and S.
Prove:
AR ∥ BS

Answers

The proof is shown below:

What is tangent?

The tangent is defined as a line touching circles or an ellipse at only one point.

As, tangent line is perpendicular to radius of the circle.

So,

AR ⊥ RS

BS ⊥ RS

Thus, AR and BS ⊥ to same line RS.

Now, either AR or BS are in same line or parallel.

since, they are the radius of different circles.

Hence, AR ║BS.

Learn more about tangent here:

https://brainly.com/question/26094603

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The Guy above me is correct

PLS ANSWER 12 POINTS U DONT HAVE TO EXPLAIN JUST GIVE THE RIGHT ANSWER PLS AND THANK YOU ILL GIVE YOU BRAINLIEST

Answers

Answer: 35 *

Its a right angle. 90 - 55 = 35

cant do fractions help

Answers

a) x=50 is the answer for that question

two adjacent angles from a right angle. the larger angle is 3 times the measurement of the smaller angle which is the measurement of the angle?

45°
22.5°
67.5°
30°​

Answers

Answer:

Because two adjacent angles from a right angle sums up to 90° and the larger angle is 3 times the measurement of the smaller angle, the equation would be 3a + a = 90° (A will be the substituting variable for the smaller angle). Add the like terms to get 4a=90. Divide 4 on both sides to get 22.5°. Substitute 22.5 into the variable, a, to get 67.5. This means that the larger angle would be 67.5° and the smaller angle would be 22.5°.

Help please I will mark brainliest

Answers

40° snnsdndnxnnxndndndnndndndndndjdjjd

A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Answers

Answer:

Expected value for 4 tickets = $ -7.6

Step-by-step explanation:

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket = [tex]\frac{3100}{1000}[/tex] = $ 3.1

⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6

⇒Expected value for 4 tickets = $ -7.6

Please help ASAP and show working out

Answers

Answer:

card 7 was removed

Step-by-step explanation:

This is so easy if you just do it one step at a time.

Anyway,

2 + 5 + 8 + 9 = 24

24 / 4 = 6

No links please and thanks

Answers

Answer:

3,4 is the correct answer for this question


PLEASE HELP!!!!
Which angle measure must equal 52°?
A. а
в. Ь
с. с
D. d
Е. е

Answers

Answer:

Option C will be your answer

Step-by-step explanation:

Angle C will be equal to 52 by vertical angle theorem

hope it helps you

have a great day !!

Angle c is the vertical opposite angle with 52° so it will have a measure of 52° thus option (C) is correct.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Two opposite angle made by two intersecting lines is said to be vertically opposite angle so the angle opposite to 52° is c so, ∠c = 52°.

Hence " Angle c has a measure of 52° since it is the vertical opposite angle with 52°".

For more about the angle,

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what is log17 60 evaluated?

Answers

Answer:

1.77815125038

Step-by-step explanation:

When you roll a number cube, there are 6 possible _____.

a.) dots
b.) sides
c.) outcomes
b.) none of these

Answers

the correct answer is C, outcomes

Answer:

c. outcomes

Step-by-step explanation:

Plz help

Hhhhhhhheeeeeeeeellllllllllppppppppp

Answers

Answer:

Step-by-step explanation:

1kg = 1000g

3000g [divide by 1000 to get answer in kg]

3kg = D

Please Help me its all ready late

Answers

Answer:

x = -1/3

Step-by-step explanation:

1/3x = 2/9 - 3/9

1/3x = -1/9

x = -1/3

Hope that helps!

Yupyioensnakhs. Jajaysna laieyava

I will give extra points please help

Answers

Answer:

9

Step-by-step explanation:

45/5 = 9

X = 9 because 9 x 5 = 45 or 45 divide 5 = 9

Sophie bikes at a speed of s miles per hour. her friend rana is slower, her biking speed is only r miles per hour. Tomorrow both girls are planning to spend 3 hours biking. how much longer will be the sophies route

Answers

36 hrs and 21 mins hope that is ok

A woman had $200. She went to a meatshop,
a bookstore and a drugstore. She spent four
times as much money at the meatshop as she
did at the drugstore. She spent $15 less at the
bookstore than at the drugstore. She then had
$5 left.
(a) Using $x to represent the amount she spent
at the drugstore, express in algebraic terms
(i) the amount she spent at the meatshop
(ii) the amount she spent at the bookshop
(b) Obtain an equation for the total amount
of money spent and hence calculate the
amount she spent at the drugstore.​

Answers

A, I think



Lmk if im wrong



Meg colored 3/8 of the tiles for a class art project. Max colored 4/15 of the tiles. What fraction of the tiles did Meg and Max color in all?

Answers

Answer: 77/120

Step-by-step explanation:

Which function could produce the graph shown below?
dnesda
-4
+3
+2
5
10
15
20
25
30
35

Answers

  Exponential function given in Option (C). f(x) = 4e⁻⁰°⁰⁵ will be the answer.

Exponential function:  An exponential function is given by,

          [tex]f(x)=ae^{bx}[/tex]

Given in the question,

 Graph of the exponential function passes through two points,

          (0, 4) and (27.5, 1)

For (0, 4),

[tex]4=ae^{b\times 0}[/tex]

[tex]a=4[/tex]

For (27.5, 1)

[tex]1=4(e)^{27.5\times b}[/tex]

[tex]e^{27.5b}=0.25[/tex]

[tex]\text{ln}e^{27.5b}=\text{ln}(0.25)[/tex]

27.5b = -1.3863

b = -0.05

     Therefore, exponential function will be → [tex]f(x)=4e^{-0.05x}[/tex]

                       Option (C) will be the answer.

Learn more about the exponential function here,

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In ΔQRS, q = 4.9 cm, r = 7.1 cm and ∠S=70°. Find the area of ΔQRS, to the nearest 10th of a square centimeter.

Answers

Answer:16.3

Step-by-step explanation:

Delta math

HELP WILL GIVE BRAINLIST: Answers A: $26.81 b: $22.98 c: $19:98 D $3.83

Answers

Answer:

B 22.98

Step-by-step explanation:

divided 11.49 by 3, you get 3.83, then multiply it by 6. thats your answer

Answer:

B: $22.98

Step-by-step explanation:

The first thing we need to do for this question is find a pattern. Find a pattern between the prices of 3 pizzas, 4 pizzas, and 5 pizzas. Once we have this pattern, we can solve for x.

To find the pattern, we must first subtract the price of 4 pizzas from the price of 3 pizzas. This difference is 3.83, so we know the price went up $3.83. Next, subtract the price of 5 pizzas from the price of 4 pizzas. This is also 3.83, so we know that for every extra pizza added, the price goes up $3.83.

Now that we have our pattern, we can solve for x. Because the price goes up $3.83 for every extra pizza added, we can add $3.83 to the price of 5 pizzas. This will give us $22.98. We now know the value of x and the price of 6 pizzas.

I hope this helps. Please let me know if you need any more help. Have a great day and good luck!

Heather is considering purchasing an item that costs $17. The sales tax in Heather's area is set at 7.5%. What is the total purchase price that leather would be charged on this purchase? Round your answer to the nearest cent, if necessary.​

Answers

Answer:

$18.28

Step-by-step explanation:

To get the answer all I did was take 7.5% of 17 which is 1.275

I then rounded 1.275 to 1.28. When you round up the number after the 7 has to be 5 or above. Seeing as the number was 5 we rounded it up to 1.28.

Then I took $17+$1.28= $18.28.

I hope this helps!!!

how do i see if 5 + 3 x -2 and x + 2 (x + 1) + 1 are equivalent or not?

Answers

Simplify both of the expressions and see if they are the same

5+3x-2

=3+3x

x+2(x+1)

=x+2x+2

=2+3x

They are not equivalent.

Make x the subject of the formula r=√x²+y²

Answers

Answer:

Step-by-step explanation:

15 meters increased by 36% meters

Answers

Answer:

20.4

Step-by-step explanation:

(15*36)/100+15

Mrs. Daniel packs reams of paper into boxes. The box has a mass of 18
ounces, and each ream of paper weighs 22 ounces. If the function
y = 22x + 18 describes the total mass, the variable x represents the —
A.total mass of a box filled with reams of paper
B.total number of boxes filled with reams of paper
C.mass of each ream of paper inside a box
D.number of reams of paper packed in a box

Answers

Should be B the total numbers of boxes filled with reams

What is the degree of the following polynomial x²y³ + z



Answers

The answer on top of me is correct

What is the area of the polygon given below?

A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units

Answers

Answer:

B. [tex]\displaystyle 186\:square\:units[/tex]

Explanation:

All edges conjoin to form right angles, therefore you have these:

[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]

OR

[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]

I am joyous to assist you at any time.

Identify the constant of proportionality from the table.
26
5 15
6 18
8 24
C. 2
D. 6

Answers

Answer:

The constant of proportionality is 3.

Step-by-step explanation:

6/2 is 3 and so on.

Correct me if I'm wrong

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