Answer:
A
Step-by-step explanation:
Hello There!
The y value of ABC was subtracted by 7 to get to the figure A'B'C'
So the rule for the given transformation would be
(x,y) ---> (x,y-7)
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
Answer:
The answer is 2 1/6
Step-by-step explanation:
First you would divide 13 by six and that would leave you with 2 with a remainder of 1. Then you would put together the fraction leaving 6 as the denominator, 2 as the whole number, and 1 as the numerator.
Let me know if you need any other help!
Answer:
D
Step-by-step explanation:
Using the rule of radicals
= 
× 
⇔ 
Given
× 
= 
× 
= × 
Cancel 
on numerator/ denominator
= 
× 
= × 
Cancel 
on numerator/ denominator, leaving
= 
→ D
Answer:
Answer: 4 Remainder :4
Step-by-step explanation:
10 | 44 |
10*4 = 40
44-40
4
