dy÷dx=(x-1)(x+3) at x=2 first principal ​

Answers

Answer 1

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dy

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

Answer 2

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

=

4+6-2-3=5

so finally: 5=5

any questions?


Related Questions

Which expression can be used to find 1/2 of 12

Answers

Answer: 1/2*12
12/2

Explanation: either one is right. It just depends on your options.

Expression can be used to find 1/2 of 12 is 1/2*12

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex](in percentage)

Given;

P= 1/2 => 5/10 => 50/100

b= 12

substituting in the formula;

 a/12 = 50/100

putting the value of 50/100 from given

 a/12= 1/2

a= 1/2*12

Therefore, the correct answer will be 1/2*12

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By what percent is 16 greater than 12.

Answers

Answer:

28 i assume.

Answer:

The answer is 28% :))

A number m is equal to twice the sum of two numbers n and p.

Answers

Answer:

oh

Step-by-step explanation:

A block of ice has a square top and bottom and rectangular sides. At a certain point in
time, the square top and bottom each have a length of 30 cm, which are decreasing at a
rate of 2 cm/h. At the same time, the height of the ice block is 20 cm and decreasing at
3 cm/h. How fast is the ice melting?

Answers

Answer:

[tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

[tex]l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h[/tex]

Step 2: Differentiate

Rewrite [VRP]:                                                                                                 [tex]V = l^2h[/tex]Differentiate [Basic Power Rule]:                                                                         [tex]\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}[/tex]

Step 3: Solve for Rate

Substitute:                                                                                                           [tex]\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)[/tex]Multiply:                                                                                                               [tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

!!HELP!! What is q times 10?

Answers

Answer:

Q10. You just put them together because it's multiplying of a letter and a number

**I thought I answered this question yesterday, is this a deja vu or something**

Please Help Fast I Don't Know

Answers

Answer:

376 people

Step-by-step explanation:

25% is 94

to get the there 75% divide 94 by 25% or .25 and you get 376. 25% of that is 94.

Alright i believe the answer is 376, to find the answer we need to find the percent of 1/4 and it is 25% so now i must find how many 25's can fit into the 100% or the whole, in this case 4 can fit into it so now i must multiply 94 * 4 = 376

so i think that is the answer is 376...

I hope this helps!

Need help ASAP! I'll mark brainlyist

Answers

Step-by-step explanation:

(2+5i) equation goes to -20

(4+I) equation goes to -1

(3+2i) equation goes to 10

and the last one goes to 16

A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)



Group of answer choices

y-8=(-2/7)(x+8)

y+8=(-2/7)(x-8)

y-4=(-2/7)(x-6)

Answers

Answer:

y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)

Step-by-step explanation:

Point slope form equation: y - y₁ = m(x - x₁)

m is the same for all your answer choices, so you can disregard that part.

First point: (-8,8)

x₁ = -8; y₁ = 8

Plug those values into the point slope form equation and you get:

y-8=(-2/7)(x+8)

Do the same for the second point, and you get:

y-4=(-2/7)(x-6)

Answer:

first and third options

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]

using (a, b ) = (- 8, 8 ), then

y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is

y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option

using (a, b ) = (6, 4 ), then

y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option

If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M). Express your answer as a set in the roster form: i.e. {a,b,c...}.

Answers

Answer:

Step-by-step explanation:

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

The answer is,

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

What is set?

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

here. given that,

U is the set of all multiples of 3 less than 20,

i.e. U={3,6,9,12,15,18}

and M={3,12,18},

Mc (the complement of M),

i.e. M'={6,9,15}.

Hence, we get, U={3,6,9,12,15,18} ,  M={3,12,18} & M'={6,9,15}.

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Theresa and her mother made homemade salsa. They made 4.5 quarts of salsa. They are going to store the salsa in pint-sized jars.
Calculate how many pint-sized jars Theresa will need to store 4.5 quarts to pints.
O 5 jars
O 6.5 jars
09 jars
O 12 jars

Answers

Answer:

9 pint sized jars

Step-by-step explanation:

There are two pints to the quart. 2x4=8, so there is 8 pints per 4 quarts. If one pint is the same as half a quart, we can write a pint as 0.5 quarts. So, there are 9 pints to 4.5 quarts.

Answer:

9 jars

Step-by-step explanation:

there are 2 pints in a quart so 4.5x2=9

what is the least common denominator for 2/5 and 3/2​

Answers

Answer:

4/10

Step-by-step explanation:

⅖ = 4/10

3/2 = 15/10

The common denominator is 10.

The answer to the question is 10.

The least common denominator (LCD) is the most smallest number that can be a shared factor for a set of numerals. We see here the LCD is 10 because both fractions have a denominator of 10.

Which equation describes the function whose y-intercept is 6 and whose
graph has slope 2?
HELPP

Answers

Answer:

y=2x+6

slope intercept form: y=mx+y-intercept

m=slope

Best answer gets brainiest. Katie's math class starts at 10:15 A.M. and lasts for 1 hour and 55 minutes. After math class, Katie has recess for 35 minutes. What time does Katie's recess end?

Include A.M. or P.M. in your answer.

Answers

Answer:

12:45 PM

Step-by-step explanation:

First, add the time of the math class:

10:15 AM + 1 hour

= 11:15 AM

11:15 AM + 55 minutes

= 12:10 PM

Then, add the time of recess:

12:10 PM + 35 minutes

= 12:45 PM

So, her recess ends at 12:45 PM

Answer:

Recess Ends at 12:45 PM

Step-by-step explanation:

10:15 + 1 hour and 55 minute= 12:10 PM

12: 10+ 35 min= 12:45 PM

which expession is equivalent to negative 2 1/4 over nagative 2/3​

Answers

Answer:

Ahhhhhjhhhjhhhh

Step-by-step explanation:

How that helps ;)

Which set of fractions is ordered from least to greatest?

A
five over eight, eight over twelve, three over four

B
eight over twelve, five over eight, three over four

C
three over four, five over eight, eight over twelve

D
five over eight, three over four, eight over twelve

Answers

Answer:

get the best i can and get you a good friend of yours to go with the other side and the first thing I think you have a lot

The answer is C

(3/4, 5/8, 8/12)

I hope this helped out, have a nice day :)

What is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

Answers

Answer:

D

Step-by-step explanation:

7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

What is Fraction?

A fraction represents a part of a whole.

We need to write the partial fraction decomposition of 11x-38/(2x-5)(x-4)

(11x-38)/(2x-5)(x-4)=A/2x-5+B/x-4

11x-38=A(x-4)+B(2x-5)

11x-38=Ax-4A+2Bx-5B

We need to find the values of A and B

Compare the coefficients of x

11=A+2B

A=11-2B

Compare the constants

-38=-4A-5B

-38=-4(11-2B)-5B

-38=-44+8B-5B

-38=-44+3B

-38+44=3B

6=3B

Divide both sides by 3

B=2

Now A=11-2(2)=7

Hence, 7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

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Mikai walks her dog Rufus take regular walks
together. Mikai and Rufus travel 5 miles every
8 days. Over the last 40 days how far have
Mikai and Rufus walked?

Answers

over the last 40 days they traveled 25 miles

Answer:

They walked 25 miles in 40 days.

Step-by-step explanation:

The answer is 40 because 5 divided by 8 is 0.625 and 0.625 multiplied by 40 is 25.

P.S Can I have brainliest?

determine if the triangles are congruent, if so, state the theorem

Answers

Angle-Angle-Side is the congruence theorem.

Answer:

last

Step-by-step explanation:

Is Angle Angle Side bacause you have

two vertical angle ≅ (A)

two 90° angles ≅(A)

two sides given ≅ (S)

Find the missing side ?

Answers

Answer:

37

Step-by-step explanation:

What is the area of triangle ABC if a = 10 (degrees), B = 22 (degrees), and C = 70 (degrees) please help me.
A. 454.32 Sq Units
B. 103.37 Sq Units
C. 1.76 Sq Units
D. 17.61 Sq Units

Answers

Answer:

D. 17.61 square units

Step-by-step explanation:

To find the area of the ∆ABC, we can apply the formula below:

Area of ∆ABC = ½×a×c×sin(B)

a = 10

c = ??

B = 22°

Let's find c using Sine Rule:

Thus:

[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]

Where,

a = 10

c = ??

A = 180 - (22 + 70) = 88°

C = 70°

Plug in the values

[tex] \frac{10}{sin(88)} = \frac{c}{sin(70)} [/tex]

Multiply both sides by sin(70)

[tex] \frac{10}{sin(88)} \times sin(70) = \frac{c}{sin(70)} \times sin(70) [/tex]

[tex] \frac{10 \times sin(70)}{sin(88)} = c [/tex]

[tex] 9.4 = c [/tex] (nearest tenth)

✔️Area of ∆ABC = ½×a×c×sin(B)

Plug in the values

Area of ∆ABC = ½ × 10 × 9.4 × sin(22)

Area = 17.61 square units (nearest tenth)

PLEASE HELP!! It’s urgent!! I will mark brainliest

Answers

Answer:

a,c,d

Step-by-step explanation:

Answer:

the answer is F, C, A

How do you write 22over5 in this

Answers

Answer:

00004.40 if you need to fill in every box. If not, 4 in front of the decimal, and a 4 after.

which coordinate plane represents the linear relationship 4x + 5y = 20

Answers

The Answer is 4/5 20

if f = 3, g = -4 and h = -5
[3-h]+13

Answers

21 is the answer because -5 becomes a positive since it’s 3-(-5)
The answer is 21 for sure

What do you think about this. Please I need help

Answers

Answer:

D

Step-by-step explanation:

Since its talking about INCREASING your numerators (The top of the fraction) would need to be adding up

Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td

Answers

Answer:
B) E = 2t + 2d

Explanation:
t and d are being multiplied by 2 for the amount of work done by each.

YASSSSSSSSSSS
HELPPPPPPP A SISTA OUT
LoL

Answers

ITS 8 SPECIES AHHHH GIRL I GOTCHU

Answer:

8 are from South Africa

Step-by-step explanation:

1/4 + 5/8

2/8 + 5/8

1-7/8= 1/8

1/8 of 64 is equal to 8

Tyler works at an appliance store. He gets paid a salary of $500 a week, plus commission. He gets paid 5% in commission for the first $1000 in sales and 7% commission for sales over $1000. Last week, he sold $3500 in appliances. How much money did he make last week?

Answers

Answer:

Step-by-step explanation:I think it is 5005

Please help!!! I will make brainliest

Answers

This is correct mark me

Answer:

I believe that all should be checked except for f(x) = x^6 which u already didn't check

Step-by-step explanation:

The equation is y = ab^x and all the equations, except that one, follow this formula

Find the value of x in each figure. B 9. - 15 2x A C​

Answers

The answer is 2 because it says 2x
The answer is 2 I believe
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