Let [tex]y=\cos(2x)[/tex], with first two derivatives
[tex]Dy = -2\sin(2x)[/tex]
[tex]D^2y = -4\cos(2x)[/tex]
Consider the linear ODE
[tex]aD^2y + bDy + cy = 0[/tex]
Substitute [tex]y[/tex] and its derivatives and solve for the unknown coefficients [tex]a,b,c[/tex].
[tex]-4a\cos(2x) - 2b\sin(2x) + c\cos(2x) = 0[/tex]
[tex]\implies \begin{cases}-4a+c=0 \\ -2b=0 \end{cases}[/tex]
[tex]\implies b=0 \text{ and } c= 4a[/tex]
Then the minimal ODE with this solution is
[tex]aD^2y + 4ay = 0 \implies \boxed{D^2y + 4y = 0}[/tex]
HELP PLEASE PLEASE PLEASE
Answer:
We'll need 2 points so we'll choose (-6, 0) and (0, -3).
Let's calculate the slope (or 'm') using
Slope or m = (Y2 -Y1) ÷ (X2 -X1)
Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2
Then we calculate the equation using:
(y - y1) = m • (x -x1)
(y - 0) = -1/2 * (x - -6)
y = -1/2 x -3
Source: http://www.1728.org/distance.htm
Step-by-step explanation:
Answer:
x + 2y = - 6Step-by-step explanation:
X-intercept: (-6, 0)
Y-intercept: (0, -3) ⇒ b = -3
Slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{0+3}{-6+0}=-\dfrac12[/tex]
Slope-intercept form y = mx + b
[tex]y=-\frac12x-3[/tex] {multiply both sides by 2}
2y = - x - 6 {add x to both sides}
x + 2y = - 6
For the inverse variation equation p=8/v what is the value of V when p = 4?
O 1/8
o 1/2
O 2
O 32
Answer:
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
y*x=k or y= k/x
in this problem we have that
the value of the constant K is equal to 8
so
pv=8
Solve for V
v=8/p
Find the value of V for p=4
substitute the value of P in the formula
v=8/4=2
therefore
the answer is
the value of V is equal to 2
Please help. Mathematics.
Find the value of ST:
Answer:
16
Step-by-step explanation:
It's the only one which 5x + 1 can equal, with x being 3.
Hope that helps!
Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.
Answer: Each piece is 1 2/3 inch length.
Step-by-step explanation:
Total length of cookie dough =10-inch
Since it is being into divided into 6 equal-length pieces
We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.
Simplify (4y - 3x - 2) - (7y + 4x + 3)
Answer:
-7x - 3y -5
Step-by-step explanation:
Answer:
-7x - 3y - 5
Step-by-step explanation:
In this question, you will simplify the expression given.
Solve:
(4y - 3x - 2) - (7y + 4x + 3)
Use the distributive property.
4y - 3x - 2 - 7y - 4x - 3
Combine like terms.
4y - 3x - 2 - 7y - 4x - 3
-7x + 4y - 2 - 7y - 3
-7x - 3y - 2 - 3
-7x - 3y - 5
Since we can't simplify further, your final answer would be -7x - 3y - 5
An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.
Part A
Write an equation that could be used to calculate the number of weeks, w, it would take a baby elephant to weigh 1197 lbs.
Part B
How many weeks will it take for the baby elephant to weigh 1197lbs?
Enter your equation, your answer, and your work or explanation in the space provided.
Answer:
Part A: W= (1197- 209)/ 38
Part B: 26 Weeks
Step-by-step explanation:
Part A:
We first need to subtract the 209lbs from the goal of 1197lbs. Now we have how many pounds we need to gain. Then we need to divide it by how many pounds we are gaining a week. Now we have how many weeks it will take
Part B:
W= (1197- 209)/ 38
W= 988/ 38
W= 26
Solve and graph the inequality. Show all your work. Upload a picture of your work.
x + 8 > 5
Answer:
x > -3
Step-by-step explanation:
x + 8 > 5
-8 -8
x > -3
I hope this helped you :)
What is 2/10, 2/5, and 2/20 ordered form least to greatest?
Step-by-step explanation:
2/20, 2/10 , 2/5
set them all to the same denominator of 20:
2/20, ,4/20, 8/20
25 points and brainliest!! look at picture below.
Answer:
the volume of the cone is 1,196.92
Step-by-step explanation:
V = 1/3 x 3.14 x r^2 x h
I looks better also whats 7% of 798 explain
Answer:
cappppppppppp
Step-by-step explanation:
jp wyd homie
A. 25-3x=40
Answer: x =
its a neg #
Answer:
-3x= 40-25
-3x=15
x=15÷3
x=5
what's
[tex] {3}^{4} [/tex]
What is the value of 3⁴
SOLUTION:▶️ 3⁴ = 3×3×3×3
▶️ 3⁴ = 81
ANSWER:The value of 3⁴ is 81..
(4,1) slope = 2 , point slope form
Answer:
y-1=2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=2(x-4)
Answer:
[tex]y=2x-7[/tex]
Step-by-step explanation:
[tex]y=2x-7[/tex]
Hope I helped!
Check out my profile for more answers!
Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c-7/3
d 2
Please help me ASAP
Answer:
sorry i dont know
Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?
Answer:
Starting number= 120
Step-by-step explanation:
Giving the following information:
After selling 65% of her lacrosse sticks, she has 42 sticks left.
To calculate the starting number of lacrosse sticks, we need to use the following formula:
Starting number= sticks left / proportion of sticks on stock
Starting number= 42 / 0.35
Starting number= 120
What’s the slope and y intercept??
Answer:
The y intercept is (0,0) and the slope is 1
Step-by-step explanation:
Its (0,0) because thats where the line crosses on the y axis. For the slope you do rise over run, you rise once and run once to the next solid point or place.
Refer to the attachment for better understanding
Solve 3(x + 1) + 6 = 33
Answer:
3(X+1)+6=33
3x+3+6=33
3x+9=33
3x=33-9
X=24/3
X=8
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex]3(x + 1) = 33 - 6[/tex]
2) Simplify 33 - 6 to 27.
[tex]3(x + 1) = 27[/tex]
3) Divide both sides by 3.
[tex]x + 1 = \frac{27}{3} [/tex]
4) Simplify 27/3 to 9.
[tex]x + 1 = 9[/tex]
5) Subtract 1 from both sides.
[tex]x = 9 - 1[/tex]
6) Simplify 9 - 1 to 8.
[tex]x = 8[/tex]
Therefor the answer is, x = 8.
What's the slope of the table
Answer:
8 3 5 4 6 8 8 4 8 8. 8 8 8 8 8 8 8 7 7 7 7 77 7 4 4. 5 8
how much grams are in a milligram
there are 1000 milligrams in 1 gram
Hope this helps
The basketball team ordered two pizzas. They left 1/3 of one and 1/4 of the other uneaten. What amount of pizza did they have leftover?
Get both 1/3 and 1/4 to the same denominator, with is 12, you also multiply the numerator the same you had to as the denominator.
The answer is 7/12
Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.
1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]
Answer:
See the attachedStep-by-step explanation:
y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)Regions covered by each functions are shaded and the intersection also shaded and marked.
The white area in the graph is the out of range region.
Answer:
{(1, 0), (2, 0), (2, 1)}
Step-by-step explanation:
In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.
Solve the following equation by using the QUADRATIC FORMULA
x2 – 5x – 12 = 0
Show how you got that answer
Answer:
x=(5+√73)/2 or x=(5-√73)/2
Step-by-step explanation:
a=1 b=-5 c=-12
x= (-b+/-√b^2-4ac)/2a
x= (-(-5)+/-√(5)^2-4(1)(-12))/2(1)
x= (5+/-√25-4(-12))/2
x= (5+/-√25+48)/2
x= (5+/-√73)/2
x=(5+√73)/2 or x=(5-√73)/2
√: This symbol represents the square root if you get confused.
4. the following are the varriables in the term 10xyz Except
5. Evaluate the given algebric expression m2 - 3m + 2 if m =3.
6.What is the value of the varriable so that the algebraic expression s2 - 16 will result to 0.
help plsss
Answer:
Step-by-step explanation:
5. Putting value of m = 3
m2 - 3m + 2
(3)2 - 3(3) + 2
6 - 9 + 2
= - 1
Fill in the blanks. This is important
in ce clasa ești tu??????
twice the sum of j and 4
Answer:
J+4*2
Step-by-step explanation:
помогите пж а то мне купец я не могу решить умоляю вас
Answer:
hshsjakaihshsksishshsjsiaiqoajsbsiwkajsvjsksjshshs
Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division
Saan po yung divisor?
Kailangan ko po
Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).
(-1,7) X (8,7) Y ( 6-2), ( -3 -2).
3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy
Answer:
30 is the answer hope this helps!!