Answers
Answer:
[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
Step-by-step explanation:
we would like to figure out the second derivative of the following:
[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]
we can rewrite it thus rewrite:
[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]
take derivative in both sides:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]
by sum derivation we obtain:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]
by exponent derivation we acquire:
[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]
take derivative In both sides once again:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]
use difference rule which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]
use exponent derivation which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]
by law of exponent we get:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
hence, our answer is d)
Related Questions
Jorja collected the following number of seashells for the last nine trips to the beach : 5, 11, 7, 12, 13, 17, 3, 15, 14 Provide a five - number summary for the values.
Answers
Answer:
min: 3
Q1: 6
median: 12
Q3: 14.5
max: 17
Step-by-step explanation:
Put values in order of least to greatest value. Leftmost number is the minimum; rightmost number is the maximum. Middle number is the median (cross out values, alternating crossing out least and greatest values until 1 value is left). Find the median of the values to the left and right of the median; those are Q1 and Q3 respectively.
Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.
A system of equations. c plus m equals 6. m equals StartFraction c over 3 EndFraction.
Which describes the ingredients Brad uses to make one batch of snack mix?
2 cups of cereal and 4 cups of mixed nuts
3 cups of cereal and 9 cups of mixed nuts
4.5 cups of cereal and 1.5 cups of mixed nuts
7.5 cups of cereal and 4.5 cups of mixed nuts
Answers
I need these 4 I really don't understand this
Answers
Answer:
6:
[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]
7:
[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]
Find the interest rate if £6400 has a final value of £8334 in 3 years. Give your answer to 1 d.p
Answers
Answer:
Step-by-step explanation:
6400(1+i)³=8334
(1+i)³=1.3021875
∛(1+i)³=∛(1.3021875)
1+i= 1.092
i= .092
I guess if you were to round to 1 decimal point it'd be .1
hey, guys, I have a big test today and I did not study for it at all, any help would be much appreciated
Answers
Answer:
the first second and third option are binomials
Plz help me I need a correct answer asap
Answers
[tex]\geq[/tex]Answer:
part A--- -9[tex]\geq[/tex]9
Step-by-step explanation:
Answer:
answer -9>9
Step-by-step explanation:
rbfodnddn bdbndndn
If chris measured the length of a line segment and rounded his answer to the nearest centimetre and get 6cm what is the accurate statement about the actual meausure be
Answers
Answer:
d
Step-by-step explanation:
A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D
to round off to the nearest cm of 6. the value must be between 5.5 and 6.4
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Find the measure of a central angle of a regular polygon with 10 sides. Round your answer to the nearest tenth of a degree, if necessary.
Answers
Answer:
Step-by-step explanation:
36 is the anwser
The measure of the central angle of a regular polygon with 10 sides is 36°.
What is Polygon?Polygon is a two dimensional figure which consists of certain number of line segments to form a closed figure.
Minimum three line segments is needed to form a closed figure, which is the triangle.
Circle is also a closed figure, but is not a polygon because it is note formed by line segments.
Regular polygons are polygons whose all sides are equal.
Sum of all central angles will be a full circle or 360°.
So the measure of central angle of a regular polygon = 360° / N, where N is the total number of sides of the regular polygon.
Here, Number of sides, N = 10
So the central angle = 360° / N
= 360° / 10
= 36°
Hence the central angle of a regular polygon with 10 sides is 36°.
To learn more about Polygon, click on the link given below :
https://brainly.com/question/24464711
#SPJ2
What is the radius of each semicircle in this composite figure?
Answers
Answer:
2cm
Step-by-step explanation:
First, it is important to define both the radius and diameter. A diameter is the length of a line through the center of a circle that touches two points on the edge.
In the semicircle on the top, if we can imagine it making up a full circle, we can note that the bottom center of the semicircle is the center of the full circle, with the line of length 4cm going right through it. Similarly, for the bottom semicircle, as the line between the semicircles is straight, the diameter for that one is 4cm as well.
The radius is equal to half of the diameter. The diameter is 4cm, so the radius is 4cm/2 = 2cm
What is the probability of getting a tails, vowel and an even number?
Answers
Answer:
[tex]\frac{1}{15}[/tex]
This is assuming the die is from 1 - 5
Step-by-step explanation:
Tails: 0.5
Vowel: [tex]\frac{1}{3}[/tex]
Even number: [tex]\frac{2}{5}[/tex]
[tex]\frac{1}{2}* \frac{1}{3} *\frac{2}{5} =\frac{2}{30}=\frac{1}{15}[/tex]
The “circle” divided into 3 parts, ABC...the only vowel is A, B and C are constants. So the probability of getting a vowel is 1/3, or 33.3333.... chance.
The four sided dice has 4 sides, 4 numbers, 1-4. 2 numbers are even. So 2/4 or 1/2 or 50%
PLEASE HELP
Find the range of f(x) = -3x + 2 for the domain {-3, 1, 2,5}.
Answers
Answer:
range = {11,-1,-4,-13}
Step-by-step explanation:
domain is "input" range is "output"
just "plug" {-3, 1, 2,5} into -3x + 2 one at a time
find each side length. round to the nearest tenth if needed. 14,25,x
x= ?
Answers
Answer: X PLUS 14
Step-by-step explanation:
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
Answer:
1) y=-10x+50 (it's the only negative slope / going down option and it starts at x=0 y=50)
just substitute the x with a 9
y=-10*9 +50
y= -40
2) 0.5x +5 (only positive slop and starting point at x=0 is correctly 5)
we do need to substitute y this time, with 30 obviously
30 = 0.5x +5 |-5
25 = 0.5x | *2
50 = x
3) y=-2x +50 reasoning as before
substitute x with 4
y =-2*4 +50
y = -8 +50
y = 42
You walk 1/4 miles to a grocery store. Then you walk another 1/5 miles to a clothing store. How many miles have you walked in all?
Answers
Answer:
3/4 of a mile
Step-by-step explanation:
.5+.25=.75
Which of the following is equivalent to 16 kilograms?
0.016 grams
0.16 grams
1600 grams
16000 grams
QUICK PLEASE!
Answers
Answer:
16000 grams
Step-by-step explanation:
To change kilograms to grams, multiply by 1000 grams
16 kilograms * 1000g / 1 kg
16*1000 grams
16000 grams
Hope this helps!!!
Have a great day!!!
Acellus
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
Help Resources
r = 4 cm
4 √2 cm
[?]%
Round to the nearest tenth of a percent.
Enter
Answers
Answer:
The Probability is 63.7%
Step-by-step explanation:
We need to calculate the area of the circle and the area of the square
From the question, we can see that the square is of side 4 √2 cm
The area of the square is simply the square of its side length
We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2
The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm
So, we have the area of the circle as;
Pi * r^2
= 22/7 * 4 * 4 = 50.3 cm^2
so, to find the probability, we need to divide the area of the circle by the area of the square
we have this as;
32/50.3 = 0.6366
In percentage, we simply multiply by 100% to give
0.6366 * 100% = 63.66%
To the nearest tenth, this is 63.7%
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving the theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answers
Answer:
24 blocks
Step-by-step explanation:
2(5) + 2(7) = 10 + 14
Solve for x.
2/3 (x − 7) = −2
Answers
The right Answer is:
x = 4
Answer:
x=4
Step-by-step explanation:
2/3 (x − 7) = −2
Multiply each side by 3/2
3/2 *2/3 (x − 7) = −2*3/2
x-7 = -3
Add 7 to each side
x-7+7 = -3+7
x=4
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answers
Answer:
you have to add each
Step-by-step explanation:
A Ferris wheel makes one complete rotation every 4 minutes. How far, the nearest tenth, will a rider who is seated 40 feet from the center travel in 10 minutes?
Answers
Step-by-step explanation:
600 ft
is your answer
I hope it helps
(-5/2) to the power of 2
Answers
Answer:
The answer of (-5/2) to the power of 2 is 6.25.
Part 3: Find the inverse function, f –1(x), for the function f (x) = x2 + 10x + 28.
Answers
Answer:
-5+(√x-3) and -(√x-3)-5
Step-by-step explanation:
change f(x) to 'y' and then interchange x and y; then solve for y
y = x² + 10x + 28
x = y² + 10y + 28
you can use the Quadratic Formula to evaluate y² + 10y + 28 and will get:
-5+(√x-3) and -(√x-3)-5
Find the value of x
Answers
Answer:
Step-by-step explanation:
1. 56 + 81 = 137
2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.
3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.
Hope this helps!
Answer:
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Answers
Answer:
10 to the 9th power
Step-by-step explanation:
A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If
the diver rises toward the surface too fast, he may suffer from a physical condition called “the bends.”
Suppose the diver started at 100 feet below the surface and rose in five steps of 15 feet each. Use an integer
to describe his new position in relation to the water surface.
Answers
Answer:
15x=100?
Step-by-step explanation:
this equation would show how many steps it takes to get to the surface sorry if this isnt the answer u wanted
Answer:
-25
Step-by-step explanation:
he rose 75 feet from being under 100 feet of water, making him 25 feet below the water's surface
A sign has 3 identical parallelogram-shaped stripes as shown. Charles must
outline each stripe with reflective tape. Is one roll of 86 inches of tape enough to
finish the job? Explain.
Answers
Answer:
it looks like the length of one of the parts is
Step-by-step explanation:
sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3
so 3×sqrt(125)=33.54 inches of tape which is way less then than 86
If we remove all of the queens and jacks from a 52-card deck, how many unique four card hand combinations can we create?
1,299,480
3,258,024
651,604
6,497,400
Answers
Answer:
B. 3258024Step-by-step explanation:
If we remove all of the queens and jacks from a 52-card deck, we get:
52 - 8 = 44 cardsThe number of 4-card combinations:
44P40 = 44!/40! = 44*43*42*41= 3258024Correct choice is B
Answer: C 651,604
Step-by-step explanation:
Pls I need help fast and quick it's urgent!
Answers
Answer:
I might be wrong but I think its the last answer choice.
Step-by-step explanation:
I'm sorry if its wrong :(
Help anybody please idem
Answers
Answer:
-64
Step-by-step explanation:
f(x)=-4^x
f(3)=-4^3=-64
Answer:
-64
Step-by-step explanation:
1) Substitute x with 3
-4^3
2) solve
-64
Which data set has the widest spread? data set A: 3, 1, 2, 6, 7, 2, 5. data set B: 4, 9, 4, 5, 3, 6, 8. data set C: 1, 4, 6, 5, 7, 8, 5. data set D: 4, 3, 4, 7, 2, 3, 1. data set E: 5, 1, 4, 2, 6, 9, 2.
Answers
Answer:
e
Step-by-step explanation:
The spread of a data can be determined by calculating the range of the data
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
A = 7 - 1 = 6
B = 9 - 3 = 6
C = 8 - 1 = 7
D = 7 - 1 = 6
E = 9 - 1 = 8
Dataset E has the largest spread
Answer:
Data set:E
Step-by-step explanation: