Answer:
Step-by-step explanation:The absoulte inequalities will have all real solutions asa solution so A, B, AND C all apply.
The relations on the domain of the equation are, C, AND A.
according to the question
3x-1=0
3x=1
x=⅓
so
f(x)=18x³+x-1
f(⅓)=18.(⅓)³+⅓-1
f(⅓)=18.⅓.⅓.⅓+⅓-1
f(⅓)=6.⅑+⅓-1
f(⅓)=⅔+½-1
f(⅓)=0
<h3>therefore</h3><h3> the remainder is 0</h3>
Answer:

Step-by-step explanation:
Since, By the given diagram,
The side of the inner square = Distance between the points (0,b) and (a-b,0)


Thus the area of the inner square = (side)²


Now, the side of the outer square = Distance between the points (0,0) and (a,0),


Thus, the area of the outer square = (side)²

Hence, the ratio of the area of the inner square to the area of the outer square

ANSWER
• Circumference: 18.84 ft
,
• Area: 28.26 ft²
EXPLANATION
The circumference of a circle of radius r is,

In this case, the radius is r = 3 ft and we have to use 3.14 for π,

Hence, the circumference of this circle is 18.84 feet.
The area of a circle of radius r is,

In this case, r = 3 ft and π = 3.14,

Hence, the area of this circle is 28.26 square feet.
The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.