Using the Newton method, the next estimate of the height after one iteration is: h = 0.1474m.
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The Newton's method to find a solution [tex]x[/tex] of a function [tex]f(x)[/tex] is given by:
[tex]x_{n+1} = x_n - \frac{f(x_n)}{f^{\prime}(x_n)}[/tex]
In which n+1 is the next iteration.
-----------------------------------
In the context of this problem, the height is:
[tex]h_{n+1} = h_n - \frac{V(h_n)}{V^{\prime}(h_n)}[/tex]
Thus, for the first iteration:
[tex]h_1 = h_0 - \frac{V(h_0)}{V^{\prime}(h_0)}[/tex]
-----------------------------------
The function, and its derivative, are:
[tex]V(h) = \frac{3r \pi h^2 - \pi h^3}{3}[/tex]
The radius is [tex]r = 3[/tex], thus:
[tex]V(h) = \frac{9\pi h^2 - \pi h^3}{3}[/tex]
[tex]V^{\prime}(h) = \frac{18\pi h - 3\pi h^2}{3}[/tex]
Simplifying by 3:
[tex]V^{\prime}(h) = \pi(6h - h^2)[/tex]
-----------------------------------
The initial estimate is [tex]h_0 = 0.3[/tex], thus:
[tex]V(0.3) = \frac{9\pi (0.3)^2 - \pi (0.3)^3}{3} = 0.82[/tex]
[tex]V^{\prime}(0.3) = \pi[6(0.3) - (0.3)^2] = 5.3721[/tex]
-----------------------------------
The estimate, after 1 iteration, is:
[tex]h_1 = h_0 - \frac{V(h_0)}{V^{\prime}(h_0)}[/tex]
[tex]h_1 = 0.3 - \frac{0.82}{5.3721}[/tex]
[tex]h_1 = 0.1474[/tex]
The estimate of the height after one iteration is of h = 0.1474m.
A similar problem is given at https://brainly.com/question/17031314
[2+(12×3÷9)-6]÷4
with explanation
Answer:
PEMDAS:
ZERO 0
Left to right "p" parenthesis, "e" exponents,
"md" multiplication OR division , "as" addition or subtraction
Step-by-step explanation:
[2+(12×3÷9)-6]÷4
[2+(36÷9)-6]÷4
[2+(4)-6]÷4
[6-6]÷4
[0]÷4
0
Answer:
Ans: 0
Step-by-step explanation:
[2+(12×3÷9)-6]÷4
= [2+(36÷9)-6]÷4
= [2+4-6]÷4
= [6-6]÷4
= 0÷4
= 0
What is the HCF of 25, 45
Answer:
5
Step-by-step explanation:
25 = 5 x 5
45 = 5 x 9
Hey there!
25: 1, 5, & 25
because: 5 * 5 = 25 & 1 * 25 = 25
45: 1, 3, 5, 9, 15, 45
because: 1 * 45 = 45, 3 * 15 = 45, & 5 * 9 = 45
Common factors: 1 & 5
The bigger number of those two is 5
Therefore, your possible answer is: 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Will three sides of any length create a triangle?
Someone answer this please
Answer:
[tex] →\frac{8xy}{24y} = \frac{8}{24} . \frac{xy}{y} = \frac{1}{3}. x = \boxed{ \frac{x}{3} }✓ \\ [/tex]
x/3 is the right answer.10 fractions equivalent to 1/2
Answer:
2/4, 3/6, 4/8, 6/12, 7/14, 8/16, 9/18, 10/20, 11/22, 12/24
Step-by-step explanation:
Multiply the numerator and denominator by the same factor. And use 10 different factors.
Ex. [tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]
A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3as the weight density of water.)
(A water tank shaped like a triangular prism is given. The base of the prism is at the top and a spout is located at the top of the tank. The dimensions of the tank are 9 meters long, 4 meters wide, and 4 meters deep. The spout is 3 meters long.)
Answer:
W = 1.06 MJ
Step-by-step explanation:
- We will use differential calculus to solve this problem.
- Make a differential volume of water in the tank with thickness dx. We see as we traverse up or down the differential volume of water the side length is always constant, hence, its always 8.
- As for the width of the part w we see that it varies as we move up and down the differential element. We will draw a rectangle whose base axis is x and vertical axis is y. we will find the equation of the slant line that comes out to be y = 0.5*x. And the width spans towards both of the sides its going to be 2*y = x.
if a + 1 by a is equal to 3 find the value of bracket a minus 1 by a bracket square
a+1 = 3
To find:(a - 1)^2
[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]
So, the answer is 2Hope it help youWhat is the Gcf of 10 and 6?
The GCF of 10 and 6 is 2. May this will help you.
In Exercises 9-12 solve y=f(x) for x then find the input when output is 2 9. F(x)=x+5 10. F(x)=2x-3 11. F(x)= 1/4x -1 12. F(x)= 2/3x+4
Step-by-step explanation:
Q9 . y = x + 5
x= y-5
× the input
y the output
x= -3
Q10.
y = 2x -3
y+3 = 2x
x = (y+3) ÷ 2
× = 5/2
= 2.5
Q11.
y = 1/4x - 1
y+1 = 1/4 x
4y+4 = x
x = 12
Q 12 .
y = 2/3x + 4
y-4 = 2/3x
3(y-4) = 2x
x = 3(y-4)/2
x = -3
Help
Help
Help
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Help help
Solve the equation for the specified variable.
S=CB-8. for C
C=
(Answer quickly)
Answer:
[tex]s = cB- 8 \\ cB = s + 8 \\ \\ c = \frac{s + 8}{B} \\ \\ c = \frac{s}{B} + \frac{8}{B} [/tex]
I hope I helped you^_^
An industrial machine is able to make 36 cups in 9 seconds. What is the rate made per second?
36 cups per second
9 cups per second
12 cups per second
4 cups per second
Step-by-step explanation:
36/9
4cups per second
hope this helps
what is a equivalent ratio of 16:18
equivalent ratio of 16:18 is 8:9
solve square root equation.
b^2=-169
[tex]\\ \sf\longmapsto b^2=-169[/tex]
[tex]\\ \sf\longmapsto b=\sqrt{-169}[/tex]
[tex]\\ \sf\longmapsto b=\sqrt{-(13)^2}[/tex]
[tex]\\ \sf\longmapsto b=13i[/tex]
Answer:-13
Step-by-step explanation:
Complete the arithmetic sequence with its missing terms, then state the rate of change for the sequence.
92, _, _, _, 80
Answer:
89,86,83
Step-by-step explanation:
92-80=12
12÷4=3
80+3=83
83+3=86
86+3=89
The complete arithmetic sequence will be: 92, 89, 86, 83, and 80.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as;
aₙ = a₁ + (n - 1)d
Given; The first term (a₁) is 92 and the fifth term (a₅) is 80.
Then the common difference between the terms will be given as;
a₅ = a₁ + (5 - 1)d
80 = 92 + 4d
-12 = 4d
d = -3
Then the missing terms will be
92, 92 - 3, 92 - 6, 92 - 9, and 92 - 12
92, 89, 86, 83, and 80
Hence, the complete arithmetic sequence will be: 92, 89, 86, 83, and 80.
More about the arithmetic sequence link given below;
brainly.com/question/12373434
#SPJ2
Find the circumference of the circle. Use π ≈ 3.14 5cm
Answer:
31.4cm
Step-by-step explanation:
Use 2 pie r
Lol help
4.69 × 5.8 =
Answer:
[tex]4.69 \times 5.8 \\ \\ = 27.202[/tex]
Find the distance between -15 and 12 on a number line.
Answer:
27
Step-by-step explanation:
|x-15|=12
Which equation corresponds to the following word problem?
Cory spends $6.50 on snacks at a gas station. He also buys gas, which costs $2.78 per gallon. If he spends a total of $24.00 at the gas station, how many
gallons of gas did he buy? Let g equal the number of gallons of gas.
(1 point)
O 6.509 +2.78 = 24.00
O 2.789 -6.50 = 24.00
O 6.50g - 2.78 = 24.00
2.789 +6.50 = 24.00
Answer:
Cory bought 6.30 gallons of gas at the gas station.
Step-by-step explanation:
total amount = cost of snacks + amount spent on gas
[tex]$\$ 24.00=\$ 6.50+\$ 2.78 \mathrm{~g}$[/tex]
[tex]$\$ 2.78 \mathrm{~g}=\$ 24.00-\$ 6.50$[/tex]
[tex]$\$ 2.78 \mathrm{~g}=\$ 17.50$[/tex]
[tex]$g=\frac{\$ 17.50}{\$ 2.78}$[/tex]
[tex]$g=6.30$[/tex]
Learn more about gallon refer:
https://brainly.com/question/18591352Please Help! I will give you the brainiest and a lot of points (If you give me an unreasonable answer or something this is obviously not related to the question I will report you and all of your posts (whether their related to my questions or not).
-You have to use the Hindu-Arabic number system
[tex]\qquad[/tex]2010_(nine)
[tex]\qquad[/tex]7716_(nine)
[tex]\qquad[/tex]+_________
[tex]\qquad[/tex]9726_(nine)
Keep nine stable and add the bases
2 1/4 = how many quaters
Answer:
9 quarters
Step-by-step explanation:
in 2, there are 8 quarters, plus one more quarter
Somebody please help meee and get the correct answer cause if you give me the correct answer you get brainlist
Answer ASAP
If you know this
Answer:
x2 because it is not an equation
Step-by-step explanation:
Solve 2x + 4 = 12.
O A. x = -4 and x = -8
O B. x = -4 and x = 8
O C. x = 4 and x = -8
O D. x = 4 and x = -4
If ; | 2x+4|=12 —> x = 4 , x = – 8 —> The choose C.
If ; | 2x | +4=12 —> x =4 , x = – 4 —> The choose D.
I hope I helped you^_^
when is x2 greater than x3?
×2 is greater than ×3 when the numbers are in negative form.
1.- 5/ 4.2=?
2.- 5/ 6.2=?
3.- .9/.18=?
4.- .52/ 3.5038=?
5.- .23/ 1.8078=?
6.- .15/ .5655=?
PLEASE PAY CLOSE ATTENTION TO THE DECIMALS AND EXPLAIN THEM TO ME PLEASE I BEG CAN YALL SOLVE THEM ALL AND LEAVE A DESCRIPTIVE EXPLANATION I BEG PLEASE? THANK YOUU<<<<3333
Step-by-step explanation:
-1.19047619-0.806451613-5-0.148410297-0.127226463-0.265251989#1
[tex]\\ \sf\longmapsto \dfrac{5}{4.2}=1.19=1.2[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{5}{6.2}=0.8[/tex]
#3
[tex]\\ \sf\longmapsto \dfrac{9}{18}=\dfrac{1}{2}=0.5[/tex]
#4
[tex]\\ \sf\longmapsto \dfrac{52}{3.5038}=1.48=1.5[/tex]
#5
[tex]\\ \sf\longmapsto \dfrac{23}{1.8078}=0.127=0.13[/tex]
#6
[tex]\\ \sf\longmapsto \dfrac{15}{0.5655}=0.26=0.3[/tex]
what does answer on her sceen mean? 9e+10
Answer:
19e
Step-by-step explanation:
which expression is equivalent to the given expression?
(4m2n)2
2m5n
A 8m9n3
B 4m9n3
C 8m-1n
D 4m-1n
Answer:
C. 8m`¹.n
Step-by-step explanation:
((4m²n)²) /(2m^5.n)
= (16m⁴n²)/(2m^5.n)
= 8m`¹n
If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for x
Answer:
[tex] \boxed{x = 7} [/tex]
Step-by-step explanation:
Given:
AB = x + 4BC = 2x – 10AC = 2x + 1We can illustrate this relationship as:
(2x + 1)
___↑___
| |
A — B — C
|____|___|
↓ ↓
(x + 4) (2x – 10)
_______________________________
When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.
Thus:
(x + 4) + (2x – 10) = (2x + 1)
[Regroup terms]
(x + 2x) + (4 – 10) = (2x + 1)
[Simplify]
(3x – 6) = (2x + 1)
[subtract 2x from both sides to isolate the variable]
(3x – 6) – 2x = (2x + 1) – 2x
[Regroup terms]
(3x – 2x) – 6 = (2x – 2x) + 1
x – 6 = 1
[Add 6 to both sides to isolate the constant]
x – 6 + 6 = 1 + 6
[Simplify]
x = 7
Please help what is the answer
9514 1404 393
Answer:
E
Step-by-step explanation:
You can see from the first and last points that the data set demonstrates a slight upward trend. That means the slope of the regression line will be near +1, eliminating all choices except A and E.
The y-intercept of such a line will not be negative, eliminating choice A, leaving choice E as the only reasonable option.
__
If you input this data to a suitable calculator or spreadsheet, it can find the parameters of the regression line for you. (We presume you have been introduced to such tools.) My graphing calculator gave the results shown below, confirming E is the correct choice.
If mean of first 3 digits is 19 and next 2 digits is 18, what would be the mean of all 5 digits?
Mean of total 5 digits is 18.6
Given:
Mean of first 3 digit = 19
Mean of next 2 digit = 18
Find:
Mean of total 5 digits
Computation:
Sum of first 3 digit = Mean of first 3 digit × Number of digits
Sum of first 3 digit = 19 × 3
Sum of first 3 digit = 57
Sum of next 2 digit = Mean of first 3 digit × Number of digits
Sum of next 2 digit = 18 × 2
Sum of next 2 digit = 36
Total of 5 digit = Sum of first 3 digit + Sum of next 2 digit
Total of 5 digit = 57 + 36
Total of 5 digit = 93
Mean of total 5 digits = Total of 5 digit / 5
Mean of total 5 digits = 93 / 5
Mean of total 5 digits = 18.6
Learn more:
https://brainly.com/question/16645147?referrer=searchResults
The answer is "mean of all 5 digits is 18.6" and the further calculation can be defined as follows:
The mean would be the total number divided by the number of numbers. To obtain the mean, we add all the numbers and divide by number.It is also known as the "average" value, which was established by summing all data points then divided by the information gain amount.Its most popular statistics used to measure the center of a collection of data and analysis are the statistics sometimes referred to it as average by statistics.In this question, let the value are a,b,c..., and e So,Mean of 3 digits:
[tex]\to \bold{\frac{a+b+c}{3}}=19[/tex]
Mean of 2 digits:
[tex]\to \bold{\frac{d+e}{2}}=18[/tex]
Find:
Mean of all 5 digits =?
Calculating the sum of 3 digits:
[tex]\to \bold{\frac{a+b+c}{3}}=19\\\\\to \bold{a+b+c}=19 \times 3\\\\\to \bold{a+b+c}=57\\\\[/tex]
Calculating the sum of 2 digits:
[tex]\to \bold{\frac{d+e}{2}}=18\\\\\to \bold{d+e}=18\times 2\\\\\to \bold{d+e}=36\\\\[/tex]
Calculating the Mean of all 5 digits:
[tex]\to \bold{\frac{a+b+c+d+e}{5}}= \bold{\frac{57+36}{5}}[/tex]
[tex]= \bold{\frac{93}{5}}\\\\=\bold{18.6}[/tex]
So, the mean of all 5 digits is "18.6".
Learn more:
brainly.com/question/2003309
