First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Hey there!!
Question: What is the inverse of f(x)=3x-1/4???
Answer: <u><em>f^-1(x)=1/12+x/3 </em></u>
Don't forget to mark me <em><u>Brainliest </u></em>!!!!
Hope this helped:) Have an awesome day!!
Answer:
1.
P(E1)=P(E2)=P(E3)=P(E4)=P(E5= )1/5
2.
P(E1)=0.4
P(E2)= 0.26
P(E3)=0.34
3.
No the probability assignments are invalid
Step-by-step explanation:
1
Total number of possible outcomes = 5
<u>Equation (4.3)</u>
0< P(Ei)<1
<u>Equation (4.4)</u>
P(E1) + P(E2) +........+P(En)=1
As the outcomes are equally likely therefore,
Probability for each outcome= P(Ei) = 1/5
2
Total number of outcomes = 50
Outcomes for event E(1)= 20
Outcomes or event E(2)= 13
Outcomes or event E(3) = 17
P(Ei)= (number of outcomes for event Ei/ Total number of outcomes)
P(E1)=20/50=0.4
P(E2)= 13/50=0.26
P(E3)=17/50=0.34
3
P(E1) .10,
P(E2) .15,
P(E3) .40,
P(E4) .20
0.1 +0.15+0.40+0.20=0.85<1
According to equation (4.4) the probability assignments are invalid as the sum of probabilities for all outcomes must be equal to 1.
Answer:
<u>1st graph</u>:
Slope-intercept is y = -7/2x + 3
Point Slope is y + 4 = -7/2(x - 2)
Standard is 7x + 2y = 6
<u>2nd graph</u>:
Slope-intercept is y = 1/2x - 4
Point Slope is y + 2 = 1/2(x - 4)
Standard is x - 2y = 8
<u>3rd graph</u>:
Slope-intercept is y = 3x - 3
Point Slope is y - 3 = 3(x - 2)
Standard is 3x - y = 3
<u>4th graph</u>:
Slope-intercept is y = -2/7x - 4
Point Slope is y + 2 = -2/7(x + 7)
Standard is 2x + 7y = - 28
Step-by-step explanation:
Point Slope formula⤵⤵⤵:
Slope-intercept formula⤵⤵⤵:
Standard formula⤵⤵⤵:
Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)
