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Natalka [10]
3 years ago
14

WILL GIVE BRAINLEIST THANK YOU AND FRIEND YOU NEED TO GIVE AWAY POINTS EASY A counterexample is an example showing that a statem

ent is not true. Provide a counterexample to the following statement: Division of whole numbers is commutative.
Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0
4 ÷ 2 = 2
2 ÷ 4 = 1/2
As we can see, the order in which the numbers are divided yielded different results.
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Given: y" - 2y' = 6t + 5e^2t. Find the correct form to use for y_p if the equation is solved using Undetermined coefficients. Do
const2013 [10]

Answer:

y_p=A+Bt+Ce^{2t}

Step-by-step explanation:

Given: y'' - 2y' = 6t + 5e^{2t}.

we need to find the correct form for y_p if the equation is solve using undetermined coefficients.

A first order differential equation \frac{\mathrm{d} y}{\mathrm{d} x}=f\left ( x,y \right ) is said to be homogeneous if f(tx,ty)=f(x,y) for all t.

Consider homogeneous equation y''-2y'=0

Let y=e^{rt} be the solution .

We get (r^2-2r)e^{rt}=0

Since e^{rt}\neq 0, r^2-2r=0.

So, we get solution as y_c=c_1+c_2e^{2t}

As constant term and e^{2t} are already in the R.H.S of equation

y" - 2y' = 6t + 5e^{2t}, we can take y_p as y_p=A+Bt+Ce^{2t}

6 0
3 years ago
All quadratic equations can be solved by factoring. True or false
MaRussiya [10]

Answer:

false all the quadratic equations cannot be solved by factorising there is also graphical method to get the solution

3 0
3 years ago
What the length of a diagonal of a square with perimeter of 16
Vladimir79 [104]
A- the length of the side of a square
P = 16

P = 4a → 4a = 16  |:4 → a = 4

The diagonal of the square: d = a√2

therefore d = 4√2


4 0
3 years ago
Barry read for 15 more minutes than Robert.
Greeley [361]
Hi!

C. v + 15

Barry read for 15 MORE minutes than Robert.
6 0
3 years ago
2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a).
castortr0y [4]

Let

F--------> represent the force

m--------> represent the mass

a-------> represent the acceleration

we know that

The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to

F=ma

<u>Part a)</u> Solve this equation for a

F=ma

Divide both sides by the mass

a=\frac{F}{m}

therefore

<u>the answer part a) is equal to</u>

a=\frac{F}{m}

<u>Part b) </u>Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?

we know that

the formula of acceleration is equal to

a=\frac{F}{m}

in this problem

we have

F=25\\m=10

Substitute the values n the formula

a=\frac{25}{10}

a=2.5

therefore

<u>the answer part b( is equal to</u>

a=2.5

<u>Part c)</u> Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?

we know that

F=ma

Solve for m

Divide both sides by the acceleration

m=\frac{F}{a}

in this problem

we have

F=25\\a=5

Substitute the values n the formula

m=\frac{25}{5}

m=5

therefore

<u>the answer Part c) is </u>

m=5

5 0
3 years ago
Read 2 more answers
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