Answer:
yes
Step-by-step explanation:
We are given that a Cauchy Euler's equation
where t is not equal to zero
We are given that two solutions of given Cauchy Euler's equation are t,t ln t
We have to find the solutions are independent or dependent.
To find the solutions are independent or dependent we use wronskain

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.
Let 


where t is not equal to zero.
Hence,the wronskian is not equal to zero .Therefore, the set of solutions is independent.
Hence, the set {t , tln t} form a fundamental set of solutions for given equation.
Answer with explanation:
<u>Part A: </u>
One solution.
The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.
<u>Part B:</u>
(3, 4)
The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or
, as coordinates are written as (x, y).
Answer:
10 and 84/95
Step-by-step explanation:
First, you divide 1034 by 95 to see how many times it fits in there. Then, after it comes out to a ten with a lot of decimal points, you multiply 95 times 10, and then subtract the product from 1034 to see what the leftover fraction is. 95×10=950. 1034-950=84. Then, you look at 84/95 and see if it can be simplified-which it can't, so your final answer is 10 84/95.
(hope this helps, sry if its badly written)
(9√25) /√50 = 9*5/√50 now simplify the denominator. √50=√25*√2=5√2
so (9*5)/(5√2) simplifies to 9/√2. To rationalize the denominator multiply both the numerator and the denominator by √2.
9√2/(√2*√2) = 9√2/2