Let f(x)=root2x. If the rate of change of f at x=c is four times its rate of change at x=1 then c=?

Answers

Answer 1

Answer:

[tex]c=\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt{2x}[/tex]

[tex]f'(x)=\frac{\sqrt{2x}}{2x}[/tex]

[tex]f'(1)=\frac{\sqrt{2}}{2}[/tex]

[tex]f'(c)=\frac{\sqrt{2c}}{2c}[/tex]

[tex]f'(c)=4f'(1)[/tex]

[tex]\frac{\sqrt{2c}}{2c}=4(\frac{\sqrt{2}}{2})[/tex]

[tex]\frac{\sqrt{2c}}{2c}=2\sqrt{2}[/tex]

[tex]\sqrt{2c}=4c\sqrt{2}[/tex]

[tex]2c=32c^2[/tex]

[tex]2=32c[/tex]

[tex]\frac{1}{16}=c[/tex]


Related Questions

Analyze the student’s work. Is the answer correct? Explain. No, the student should have added 3 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths. No, the student should have subtracted 2 from â€"6 to find the distance. No, the student should have added 2 at the end to add to the starting point. Yes, the student’s answer is correct.

Answers

The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5

From the complete question, the given parameters are:

[tex]Ratio =3 : 4[/tex] ---- the ratio

[tex]A = -6[/tex]

[tex]B = 2[/tex]

The student's steps are as follows:

[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]

[tex]C = \frac 34 (8) + (-6)[/tex]

[tex]C = 6 -6[/tex]

[tex]C = 0[/tex]

To determine the position of point C from the given ratio, we make use of the following quotient;

[tex]Position = \frac 3{3 + 4}[/tex]

[tex]Position = \frac 37[/tex]

This means that, the student ought to add 3 and 7, to get the total number of section.

Hence, the student's work is incorrect, and the reason is (a)

Read more about partitions at:

https://brainly.com/question/3573606

Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

edge 2022

Suppose the length and width of a 6 by 10 sandbox is doubled. Find the percent change in the perimeter. Find the percent change in the area

Answers

Answer:

it becomes a 12 by 20

Step-by-step explanation:

Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Food sells than those sold by Cat Caterers? Reduce your answer to lowest terms.

A. 1/2 lb
B. 5/8 lb
C. 1 5/8 lbs
D. 1 1/2 lbs

Answers

Answer: The answer for the question is: 1 5/8

Step-by-step explanation:

What is the equation of the line that passes through the point (-5, 6) and has
a
slope of o?

Answers

Answer:

y = 6

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 5, 6 ) with y- coordinate 6 , then

y = 6 ← equation of line

The equation of the line y= 6

A quadrilateral has two angles that measure 63° and 154°. The other two angles are in a ratio of 4:9. What are the measures of those two angles?

Answers

Answer:

44° and 99°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the 2 given angles from 360° to find the remaining sum

360° - (63 + 154)° = 360° - 217° = 143°

The 2 angles which sum to 143° are in the ratio 4 : 9

sum the parts of the ratio, 4 + 9 = 13 parts , then

143° ÷ 13 = 11° ← value of 1 part of the ratio, so

4 parts = 4 × 11° = 44°

9 parts = 9 × 11° = 99°

The other 2 angles are 44° and 99°

While In a cave what did Sirius tell Harry and his friends about crouch

Answers

The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.

It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.

In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.

Learn more about Harry on:

https://brainly.com/question/1173893

CAN SOMEONE FACTOR THIS PLEASE

125х^6 - 81

Answers

Answer:

0

Step-by-step explanation:

125×^6_81=0

×^6 we do not support this expression

ans = 0

PLEASE HELP ME!!!!!!!!

Answers

Answer:

answer ????

Step-by-step explanation:

A shoe store donated a percent of every sale to hospitals. The total sales were $9,950 so the store donated $796. What percent of 9,950 was donated to hospitals?

Answers

Answer:

8%

Step-by-step explanation:

when solving with percentages, you can “cross multiply”,

we know the fraction would be set up this way:

[tex]\frac{769}{9950}*\frac{x}{100}[/tex]

*there would be an 100 bc a percentage is out of 100*

Now, you have to multiply 769 by 100

[tex]769*100=\\ 76900[/tex]

Then divide by 9950 to get “x”

[tex]79600/9950=\\ 8[/tex]

hope this helps!

A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?

Answers

original dimensions: x and x+5

(x-2)(x+5-2)(1) = 644

Now just solve for x.

The width of the piece of metal will be 24 inches while the length will be 29 inches.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the width of metal w then the length will be w + 5

Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;

Length = w+5 - 2 -= w + 3

Width = w - 2

Height = 1

So,

Volume = (w+3)(w-2)1

594 = w² + 2w + 3w - 6

w² + w - 600 = 0

By solving this

w = 24 so width will be 24 and length will be 24 + 5 = 29.

Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".

For more about rectangles,

https://brainly.com/question/15019502

#SPJ2

Fred has 32 ounces of cookie dough. If he used 0.56 ounces of cookie dough for each cookie, what is a reasonable estimate of how many cookies he can make?

Answers

Answer:

57 cookies

Step-by-step explanation:

32/0.56= 57.14

Factorize 81xsquared+180x+100

Answers

Answer:

81x²+180x+1009x²+180x+10²using (a+b)²=a²+b²+2ab9x²+2(9x)(10)+10²(9x+2)²=(9x+2)(9x+2)

compare the following number :-

▪︎ 3 × 10¹² and 4 × 10¹¹

I need a well explained solution,
pls not from any other websites

thx for answering~~​

Answers

Answer:

[tex] {10}^{12} = 1000000000000[/tex]

Then ,

[tex]3 \times {10}^{12} = 3000000000000[/tex]

And

[tex] {10}^{11} = 100000000000[/tex]

Then ,

[tex]4 \times {10}^{11} = 400000000000[/tex]

Step-by-step explanation:

• Hence , 3 x 10 to the power 12 is greater .

The value of 3 × 10¹² is greater than 4 × 10¹¹

The standard scientific expression is given as A * 10^n

Given the scientific values 3 × 10¹² and 4 × 10¹¹, we need to compare the values.

The value of their powers will determine which of the values is greater or less.

For the notation 3 × 10¹², we can see that the power is 12 while for the notation  4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹

Learn more on scientific values here: https://brainly.com/question/1522308

Mila buys 11/12 pounds of almonds and 5/6 pounds of pecans.


Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?



0 pounds


1/2 pounds


1 pound

Answers

Answer: Check explanation.

Step-by-step explanation: I think its 0. Not sure. Hope this helped!

Please I need help now!!!

Answers

Answer:

An Ojibwe event in which women of all ages run, bike and canoe.

Step-by-step explanation:

Can someone help and explain please!

Answers

Answer:

19.56

Step-by-step explanation:

Discount 25% of $24.60 is :

(25/100) x 24.6 = 6.15

$24.60 - 6.15 = $18.45

Tax 4.5% of $24.60 is :

(4.5/100) x 24.6 = 1.107 approx. 1.11

Amount to be paid = $18.45 + $1.11 = $19.56

༒Question༒


REFER TO ATTACHMENT


NONSENSE ANSWER WILL GET REPORT​

Answers

Ur answer sir :)

1) 6⁴

2) t²

3) b⁴

4) 5²× 7³

5) 2²× a²

6)a³× c⁴× d

I HOPE IT IS HELPFUL

I WILL MARK BRAINLIEST IF SOMEONE ACTUALLY KNOWS THIS ITS NOT 72

Answers

Answer:

D   Trust Me

Step-by-step explanation:

Answer:

I is D

Step-by-step explanation:

I just counted by to on all of the squares and got 52

The price of petrol increased by 8% to Rs 540 per litre. Find the old price.​

Answers

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Answer:

Rs 500 per liter

Step-by-step explanation:

Let the initial price be x.

We have:

x + 8% of x = 540

Rewrite it as below and solve for x:

x + 0.08x = 5401.08x = 540x = 540/1.08x = 500

-8 Find the slope of the line y = -8/2x+1/5 Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

The slope is -4.

Because:

-8/2 is -4, which is the slope.

help me on this question. would be nice if you could also graph it as well​

Answers

Bro it definitely A I’m
Telling you

Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?

Answers

Answer:

20 Yards

Step-by-step explanation:

3 feet = 1 yard

60 / 3 = x yards

20 yards

Two numbers are such that if 11 is added to the first number, a number twice
the second number is obtained. If 20 is added to the second number, the number
obtained is twice the first number. Find the two numbers.



Please do full working and explain if possible (if you explain it would help me understand more but if you don’t it’s alright)

Answers

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.

Which describes how triangle D was transformed to result in similar triangle D'?
A. Dilation
B. Rotation
C. Reflection
D. Translation

Answers

Answer:

C. Reflection

Step-by-step explanation:

Hope it helps!

It id c good luck:) :)

Find the total surface of :

Answers

(pi)r^2 = (pi)(14)^2,

(pi)196

Now solve for the height,
(10)(196)(pi)
Then it’s 1960(pi)

Now multiply pi, 6157.521

What is the value of X?

37 x X = 222

Answers

Answer:

87

Step-by-step explanation:

sorry if im wrong

Alebgra!!

Please help me fast now plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz i will give you alot of my points.

Question:

Find the perimeter of the rectangle with length (2w + 7) feet and width w feet.

Answers

Answer:

I think it's 18

Step-by-step explanation:

P=2(l+w)=2(7+2)=18

it's been awhile I believe this is it

Perimeter is the sum of all the sides
A rectangle has four sides=2L+2W

2(2w+7)+2w
4w+14+2w
=6w+14

Please mark as brainliest if it’s correct

A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.



Answers

Answer:

m= 2

b=9

Step-by-step explanation:

-4, 1 -3,3

put it into y2-x2 divided by y1-x1

y2= 3

x2= 1

y1= -3

x1=-4

3-1 divided by -4--3= 2/1    =2x

get one of the points either -4,1 or -3,3

If you use -4,1    -4=x 1=y

put it into y=mx+b and you get 1= -4(2)+b    simplify

1=-8+b add 8 to other side b=9

Please help I forgot how to do this completely

Answers

Step-by-step explanation:

9x+79+56=180(sum of angles of triangle)

9x+135=180

9x=180-135

x=45÷9

x=5

Complete the equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,−2)left parenthesis, 7, comma, minus, 2, right parenthesis.

Answers

Answer:

Your answer would be y= -x + 5

Step-by-step explanation:

Hope I helped!

Answer:

-x+5

Step-by-step explanation:

khan told me ;p

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