The second differential of the function is 3/7
Given the differential function [tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
Differentiate both sides with respect to x implicitly
[tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]
[tex]1+2y'=y"(2x-y)+y'(2-y') \\y''=\frac{1+2y'}{(2x-y)+y'(2-y') }[/tex]
Get the first derivative at the point (3, 0)
[tex]y'=\frac{2x-y}{x+2y} \\y'=\frac{2(3)-0}{0+2(3)}\\y'=\frac{6}{6} \\y'=1[/tex]
Substitute into the second derivative to have:
[tex]y''=\frac{1+2y'}{(2x-y)+y'(2-y') }\\y''=\frac{1+2(1)}{(2(3)-0)+(1)(2-(1)) }\\y''=\frac{3}{6+1} \\y''=\frac{3}{7}[/tex]
Hence the second differential of the function is 3/7
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Complete question:
If (x 2y)dy/dx=2x-y what is the value of [tex]\frac{d^2y}{dx^2}[/tex] the point (3,0)
help me plslsssssssssss
Answer:
see the attachments for the graphs
1. y = 1/4x +4 1/4
2. y = -5/9x +7/9
Step-by-step explanation:
The relevant formulas are ...
m = (y2 -y1)/(x2 -x1) . . . . . slope of line through points (x1, y1), (x2, y2)
b = y -mx . . . . . . . . . . . . . y-intercept of a line with slope m through point (x, y)
y = mx + b . . . . . . slope-intercept equation of the line
__
1.Points (3, 5), (-1, 4)
m = (4 -5)/(-1 -3) = -1/-4 = 1/4
b = 4 -(1/4)(-1) = 4 1/4
Equation of the line: y = 1/4x + 4 1/4
__
2.Points (-4, 3), (5, -2)
m = (-2-3)/(5 -(-4)) = -5/9
b = 3 -(-5/9)(-4) = 3 -20/9 = 7/9
Equation of the line: y = -5/9x +7/9
Sketch the graph of a 4th degree polynomial function f(x) such that f(- 3) = 0, f(- 1) = 0, f(1) = 0 , and f(3) = 0 and f(x) is increasing at extreme left.
Answer:
see attached
Step-by-step explanation:
For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...
f(x) = -(x +3)(x +1)(x -1)(x -3)
__
The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.
Find the quotient. 4/12÷4/12=
Answer:
1
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Select the correct domain of the function represented by the graph.
A is the correct answer.
Imma need a really quick answer im on a real tight clock
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
What is 2(-2) raised to the power of 3 - 6x?
Answer: -2 * (3x + 8)
Would appreciate brainly <3
A 135-page notebook has 33 writing lines on each page. What is the total number of writing lines in the entire notebook
Answer:
4455
Step-by-step explanation:
135 pages x 33 lines a page = 4455 lines.
Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm
Answer: The radius increases by 0.032 cm/minute.
Step-by-step explanation:
The volume, V, of a sphere is V = (4/3)πr^3.
For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10
V = (4/3)πr^3
V = (4/3)π5^3
V = 524 cc
We add 10 cc to have the balloon hold 544 cc. We calculate the increase in radius:
534=(4/3)*pi*x^3
We can now calculate the new radius, x.
x = 5.032 cm
The radius increased by 0.032 cm/minute.
PLS SOLVE WITH EXPLANATION
-4(v + 1) = 2v-2 +2(3v + 2)
Make sure you simplify it as much as you can!
Answer:
v = -1/2
Step-by-step explanation:
-4(v+1) = 2v - 2 + 2(3v + 2)
-4v - 4 = 2v - 2 + 6v + 4
-4v - 4 = 8v + 2
-4 = 12v + 2
-6 = 12v
-6/12 = v
v = -1/2
WILL MARK AS BRAINLIEST
I need the answer to this question, I’ll give you brainliest and 50 points!
Answer:
Student 1
Step-by-step explanation:
Student one attempts to divide both sides by -2, however only divides one term by -2, instead of all the terms
PLEASE HELP ME WITH THIS QUESTION!!
A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?
Answer:
7
Step-by-step explanation:
On a military clock the difference between a number and it's opposite is always 12
19 - x = 12
19 - 12 = x
7 = x
The number directly across from 19 on a military clock is 17.
How to determine the number directly across from 19 on a militaryTo find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.
12 - 19 = -7
Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.
-7 + 24 = 17
Therefore, the number directly across from 19 on a military clock is 17.
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Write the number 0.000 000 7 in standard form.
3. Daysmir is solving the inequality 15 - x < 14. He knows the solution to the equation
15 - x = 14.
How should Daysmir determine whether x > 1 or x < 1is the solution to the inequality
and which solution set is right?
Answer
ask a teacher
Step-by-step explanation:
if you want to learn the anwer it hard for me to exlpain but if you ask the teacher she will explain to you more better then i will
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
x<4
Step-by-step explanation: brainlieast plz
can someone help me with this please:)
Answer:
A
Step-by-step explanation:
[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]
This is what I need the answer for please help much appreciated if done so
Answer:
12a^9b^7
Step-by-step explanation:
Answer
12a^9b^7
Step-by-step explanation:
4x3=12
add the indices
3+6=9
2+5=7
12a^9b^7
There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?
43 is the number of students were present in that class on Monday
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 50 students in one of Mr. Rudolph's physical education classes.
On Monday, 14% of the students were absent from that dass.
We have to find the number of students were present in that dass
on Monday.
Let us find 14% of 50
14/100 ×50
0.14×50
7 students were absent.
Now 50-7=43 students.
Hence, 43 number of students were present in that class on Monday
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PLS HELP !!!
A bus journey from a town to a city
takes 2 hour 38 minutes.
complete the timetable opposite below
TIMETABLE: (I tried to type it)
Depart : Arrive :
a) 05 00 ______
b) 07 20 ______
c) _____ 11 18
d) _____ 13 36
e) 15 45 _____
f) 18 22 _____
g) _____ 21 17
h) _____ 23 25
I'll mark as branliest if u answer :))
Step-by-step explanation:
I guess we only need to add 2 hours and 38 minutes to the depart times to get arrival, and deduct 2 hours and 38 minutes from arrival to get departure.
a) 05 00 -> 07 38
b) 07 20 -> 09 58
c) 08 40 -> 11 18
d) 10 58 -> 13 36
e) 15 45 -> 18 23
f) 18 22 -> 21 00
g) 18 39 -> 21 17
h) 20 47 -> 23 25
What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)
Group of answer choices
−3
3
6
9
Answer:
9
Step-by-step explanation:
use half the x coefficent and square it
x^2 − 6x + (-3)^2 = 10 + (-3)^2
x^2 - 6x + 9 = 10 + 9
(x - 3)^2 = 19
Linear or nonlinear:
why?
non-linear because for each value of x you have more than one value of y.
Answer:
nonlinear
Step-by-step explanation:
it is basically the opposite of linear graph
This gives that the graph of a nonlinear function is not a line. it's usually curved or sloppy it isn't a straight line
Simplify the expression.
I NEED HELP PLEASE!!!
Answer:
-27/64p^3
Tell me if you want a step by step. :)
find the total tax to the nearest cent $58 bill; 20% tip
Answer:
$ 68 $ 58
Step-by-step explanation:
I'm not sure answer is $ 68 $ 58
Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...
Answer:
|x|=6 we have x1=-6 x2=6
|x|=3.2 we have x1=-3.2 x2=3.2
|x|=0 x=0
here is a screenshot please help 15 points
Simplify the expression: – 9k2+6k2–7k2–5k2+ – 8k2+ – 2k2
Step-by-step explanation:
I guess, this expression really is
-9k² + 6k² - 7k² - 5k² + -8k² + -2k²
remember : all terms with the same base reference (either a number or a variable with the same exponent, or a function ...) can be combined.
all the terms in this expression are about k². so we can combine them all
k² × (-9 + 6 - 7 - 5 - 8 - 2) =
k² × -25 or simply -25k²
always also remember the rules of combining signs and operations :
++ = +
+- = -
-+ = -
-- = +
Help me please i beg you please
Using Pythagorean theorem
[tex]\\ \sf\longmapsto x^2=26^2-10^2[/tex]
[tex]\\ \sf\longmapsto x^2=676-100[/tex]
[tex]\\ \sf\longmapsto x^2=576[/tex]
[tex]\\ \sf\longmapsto x=24ft[/tex]
Geometry hw help please.
Answer:
6
Step-by-step explanation:
You can solve this using Pythagorean Theorem;
a² + b² = c²
c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.
a and b values can be the other 2 legs, doesn’t matter which one is which
we are given;
a = 8
c = 10
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64
b² = 36
√b² = √36
b = 6
Therefore the answer = 6
Hope this helps!
Plzzz help I’ll give u 30 pts
Answer: number 4 is +(positive) because the exponent is even.
Number 5 is -(negative) because the exponent is odd.
Step-by-step explanation:
7) Solution:
→ (2)³
→ 2 × 2 × 2 {Expanded form}
→ +8
Ans: Positive
4) Solution:
→ (-6)⁴
→ -6 × -6 × -6 × -6
→ +1296
Ans: Positive
5) Solution:
→ (-3)⁷
→ -3 × -3 × -3 × -3 × -3 × -3 × -3
→ -2187
Ans: Negative
Given trapezoid WXYZ, what is XY?
Step-by-step explanation:
X is the mulplied
Y is the pronouns