Answer:
k = 30, 
Step-by-step explanation:
Since
is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

Then, replacing the derivatives in the equation we have:

Since
is a positive function, we have that
.
Now, consider a general solution
, then, by calculating the derivatives and replacing them in the equation, we get

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is

Answer:
7z
Step-by-step explanation:
Hey there!!
The given set is a function
( x , y ) - this is the form in which we write co-ordinates
In order to be a function , at least x values shall repeat.
Noted down all the x values
2 , -1, 4 , -2
None of the values is repeating.
Hence, the given data is a function
Hope my answer helps!
-10+2b+8
-2+8b+8
Calculated sum
-2+8b
Answer is -2+8b
Step 1
<u>Find the value of TS</u>
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so

solve for TS

we have


substitute

Step 2
<u>Find the value of SQ</u>
we know that

we have


substitute

therefore
<u>the answer is</u>
the value of SQ is 