The first question’s answer is the last option. And the range is 104
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.
Answer: 1.509
Step-by-step explanation:
The formula of Margin of Error for (n<30):-
Given : Sample size : n= 22
Level of confidence = 0.99
Significance level : 
Using the t-distribution table ,
Critical value : 
Standard deviation: 
Then, we have
Hence, the margin of error for a 99% confidence interval for the population mean =1.509
Answer:
Apply BODMAS
Step-by-step explanation:
PLEASE FIND THE PICTURE BELLOW
SOLUTION STEPS
(4⋅2−10x−24)(2x+3)
Multiply 4 and 2 to get 8.
(8−10x−24)(2x+3)
Subtract 24 from 8 to get −16.
(−16−10x)(2x+3)
Apply the distributive property by multiplying each term of −16−10x by each term of 2x+3.
−32x−48−20x
2
−30x
Combine −32x and −30x to get −62x.
−62x−48−20x
2
