Suppose y = sqrt 2x+1, where x and y are functions of t.
(a) If dx/dt = 9, find dy/dt when x = 4.
(b) If dy/dt = 3, find dx/dt when x = 40.

Answers

Answer 1

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27


Related Questions

a stand at the farmer's market sells different types of apples as shown in
the table. Which type of apple costs the least per pound?

Answers

Answer:

C

Step-by-step explanation:

Find the distance between the points P(4,6) and Q(8,9) to the nearest tenth.
Answers:
A. 25
B. 5
C. 7
D. 19.2

Answers

Answer:

B

d(P,Q) = sqrt((xO-xQ)^2 + (yP-yQ)^2) = sqrt(16+9) = 5

Determine f(4)+2×g (2)

Answers

Answer:

4f+4g

Step-by-step explanation:

NEED HELP ASAP PLS
Find the equation of the line that has a slope of 3 and goes through the point (3,2)
formula: y=mx+b​

Answers

Answer:

y=3x-7

Step-by-step explanation:

What are the coordinates of the x-intercept of the line -3x-5y=12?

Answers

well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".

[tex]-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill[/tex]

the sum of any 2 intergers is either postive or negative. true or false​

Answers

Answer:

True.

Hope this helps.

Someone pls help me with these worksheets >.<



(Please answer properly, if u don't know, just ignore so someone who knows can answer)

Answers

Answer:

gsdddddddddddddddddddddddddddd

Step-by-step explanation:

helppppppppp
what is -12x<60

Answers

Answer:

x > -5

Step-by-step explanation:

-12x < 60

To solve the equation for x, we want x to be by itself on one side.  Let's start by dividing both sides by -12:

-12x/-12 < 60/-12

When dividing or multiplying by a negative number, we have to turn around the inequality sign, so now we have:

x > 60/-12

And 60/-12 = -5, so:

x > -5

Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).
A.
1.

2.

3.

B. Sketch a graph of g(x):

Answers

Answer: 3

Step-by-step explanation:

BIG IDEAS MATH
#6 i
pl
CRITICAL THINKING Seven out of every 8 students surveyed owns a bike. The difference between the number of students
who own a bike and those who do not is 72. How many students were surveyed?
A total of
students were surveyed.

I want the answer to be explained for a 6th grader

Answers

Answer:

9

Step-by-step explanation:

72 divided by 8 equals 9. So 9 students were surveyed.

1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?​

Answers

Answer:

2:1  or  2

Step-by-step explanation:

*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".

 >> therefore 10/5 can be simplified to 2/1 )***

    For every 10 notebooks, there are 5 ballpens.

    Therefore, for every 2 notebooks there is 1 ballpen (The simplification).

EXTRA:  

**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.

  2/1 is not the same as 1/2 **

B. Hanapin ang sagot (quotient) gamit ang paghahati-hati. (1 puntos bawat bilang = 5 puntos) 26.4)448 27.800 + 10 = 1 28. 3)663 = 29.56 + 8 = 30. 120 + 6 =​

Answers

answer :

120 + 6 = 126

explanation:

sa calculator lang yan haha jk

pero yan talaga ang sagot promise hindi ako ng bo-bola haha stay safe and stay positive na lang huwag lang sa c o vi d

When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer

Answers

Answer:

6384 is the exact answer.

6000 is the answer rounded to the nearest thousand

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

532 X 12 = 6384 rounded would be 6000 miles a yr

which number will reach if we move 6 steps to the right -3

Answers

Answer:

If you meant -3 + 6, then the correct answer is 3.

You should put some extra effort in composing questions with all the required information, like a picture maybe.

Answer:

your answer has to be 3

Step-by-step explanation:

if you were to move to the right in number line you have to add so -3+6 is equals to 3

Help please!! I will mark brainilist and give a lot of points.



This is Pythagorean theorem.


Formula: a^2+b^2=c^2


When I say ^2 I mean to the power of 2.


The question is asking me to solve for a.


Then give me b and c which is b = 17 1/3 and c = 16.


How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?


Unless I’m wrong.



Please help my solve this!!!!! :D

Answers

Answer:

a = 23.588

Step-by-step explanation:

a^2 = 17 1/3^2 + 16^2

a^2 = 300.4 + 256

a^2 = 556.4

a = 23.588 (I rounded to thousandths but you can round to whatever)

Hello there,

I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]

Hope you could get an idea from it.

Doubt clarification - use comment section.

What is the slope of the line ?

Answers

The slope at the line would be the 360 point turn.

The slope of the line would be 2/3, I think… I can’t really tell because the image is bad quality.

If you can put up a better image or tell me two ordered pairs from the line, I can give you the slope. :)

y’all please help me

Answers

I think it is 2 but I really don’t know

Marking as brainliest rn ! Write the congruent statement

Answers

Answer:

Same thing here as the last question, just matching congruent angles.

1. ΔXZY ≅ ΔQRP

2. ΔQRS ≅ ΔSCD

3. ΔGHI ≅ ΔGHT

Step-by-step explanation:

hope this helps. . .<3

good luck!       UwU

Answer:

1.) ΔXZY ≅ ΔQRP

2.) ΔQRS ≅ ΔSCD

3.) ΔGHI ≅ ΔGHT

Hope this helps!

HELPPP LAST ATTEMPT!!

Answers

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

(-1,5)

since it’s being translated over the y axis the only coordinate that’s changing would be the x coordinate. when it’s translated over it would be the opposite to the original point. (positive original point would become a negative point after translated)
hope this helps!

A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days? ​

Answers

Answer:

8: 207

x: 143

and solve that to get your answer

The required answers are-

(a) The crew been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation to pave a road is,

L(d) = 207– 8d

where, length, L (in miles), and d days.

(a) For 143 miles of the road is left to be paved, the number of days is given as-

Put Length L(d) = 143 in the equation to pave a road

we get,

143 = 207– 8d

or, 8d  = 207– 143

or, 8d  = 64

or, d  = 64/8

⇒ d  = 8 days

So, The crew have been paving the road for 8 days.

(b) miles of the road have left for the crew to pave after 13 days.

Put d = 13 days in the equation to pave a road

we get,

L(d) = 207– 8*13

or, L(d) = 207– 104

⇒  L(d) = 103 miles

So,103 miles of the road have left for the crew to pave after 13 days.

Thus,The required answers are-

(a) The crew have been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

To learn more about roads:

brainly.com/question/1196760

#SPJ2

Please help I do not understand thanks

Answers

I don’t think I can help you with this, but I hope you have a nice day and figure it out!

Plz help I need help

Answers

Answer:

7q + 12

Step-by-step explanation:

simply arrange the given expressions into the traditional way of adding numbers like 1 + 1 but vertically like : 1

1 +

which is equivalent to

6q + 1 +

q + 11

______

7q + 12

why? because 6q plus q is equal to 7q and 1 + 11 is equal to 12

good day.

♪Answer : 6q + 1 + q + 11= (6q + 1q) + (1 + 11)= 7q + 12

The length of a rectangular rug is 6 ft. more than the width. The perimeter is 40ft. find the length and the width of the rug.

Answers

width = 7ft
length = 13ft
Width is 7ft
Length is 13ft

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?


y−1=8/9(x−4)

y+1=8/9(x+4)

y+4=9/8(x+1)

y+1=8/7(x+4)

Answers

Answer:

y+1=8/9(x+4)

Step-by-step explanation:

Tell me if you want one!

Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames

Answers

Answer:

36:27

Step-by-step explanation:

18 - 3 = 15$ for each picture frame

15$ (picture frames) : 18$ (albums)

4 picture frames : 3 albums = 114$

1026 divided by 114 = 9

4x9 = 36 picture frames

3x9 = 27 albums

36:27

Answer:

Marie bought 36 frames and 27 albums

Step-by-step explanation:

So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:

15f + 18a = 1026

Now add in the ratio

(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026

114x = 1026

x = 9

Now this means the ratio fit 9 times into the end number

Picture Frames: 4 x 9 = 36

Albums: 3 x 9 = 27

And to check we plug back in

15(36) + 18(27) = 1026

540 + 486 = 1026

1026 = 1026

-4/5 divided by 1/3
Please asap

Answers

the straight up answer is -12/5

show your solution and answer the 4 questions.

Answers

Answer:

Step-by-step explanation:

1. When the number of kilograms of paper is doubled, the points will be doubled

2. 300÷ 5 = 60

They have to collect 60 Kg of papers to earn 300 points.

3) P = 5*n

P = 5n

4) We are not only reducing the waste, the collected paper can be reused  or can be sent to recycling centers.

How would you make this a fraction 1.67+2.82=__/__

Answers

Answer:

449/100

Step-by-step explanation:

1.67 + 2.82 = 4.49

4.49 = 4(0.01) + 49(0.01) = 449(0.01)

Multiplying 449 by 0.01 is the same as dividing 449 by 100

4.49 as fraction = 449/100

-Chetan

A recipe for pasta dough says, “Use 150 grams of flour per large egg.”
How much flour is needed if 6 large eggs are used?
How many eggs are needed if 450 grams of flour are used?

Answers

Answer:

1. 900 grams

2. 3 eggs

Step-by-step explanation:

1. 150 x 6 = 900

2. 450 / 150 = 3

Answer:

900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.

Step-by-step explanation:

First, multiply the number of large eggs by grams per large egg: 150×6=900

Next, divide the number of grams of flour by grams per large egg: 450/150=3

solve the equation 5/x+3 + 4/x+2 = 2

Answers

Answer:

5 + 4 = 9

x × x = X2

3 + 2 = 5

9/x + 5 = 2

Answer:

5/x+3+4/x+2=2

=9/x+5=2

9/x=-3

Multiply both sides by x

9= -3x

Divide by -3

Answer x=  -3

Hope this helps

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