Answer:
3r=2
Step-by-step explanation:
Well,
To find what the hundreth odd number is, use this formula: (n * 2 ) - 1
(n * 2 ) - 1
n = 100
(100 * 2 ) - 1
200 - 1
= 199.
The hundreth (100th) odd number is 199.
Answer:
-6;14
Step-by-step explanation:
x+6=0
x-14=0
Answer:
(A) with .
(B) with
(C) with
(D) with ,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then . With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form with real.
(B) Proceeding and the previous item, we obtain . Which is not a vector space with the usual operations (this is because ), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set and we obtain the characteristic equation and then the general solution is with , and as in the first items the set of solutions form a vector space.
(D) Using C, let be we obtain that it must satisfies and then the general solution is with , and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).
Answer: 97.6 in3
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:
Volume of a cylinder: π (diameter /2) ^2 (height)
Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3
Volume of a cone = 1/3 π (diameter /2) ^2 (height)
V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3
Finally:
Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3
Feel free to ask for more if needed or if you did not understand something.