Answer:- c. 0.5sin30°
Explanation:-
Let AB= 0.5 miles be the distance across the lake to 60º north of east.
AC= distance travel to the east
Now, in right ΔABC
Now Distance towards west [distance is a positive quantity]
[Taking complementary angle of 60° ]
Thus C. is the right option.
Answer:
Step-by-step explanation:
The given differential equation is
It can be written as
Integrate both sides.
Apply ILATE rule on right side. Here, t is first function and is the second function.
.... (1)
Initial condition is y(1) = 1. It means at t=1 the value of y is 1.
Add on both sides.
Substitute the value of C in equation (1).
Therefore, the solution of given initial value problem is .
Answer:
14
Step-by-step explanation:
I did 35 divided by 5 which is 7. Since it is seven centimeters per night I did 98 divided by 7 which is 14.
Given:
a₁ = 1
Therefore
a₂ = 1/2
a₃ = (1/2)*(1/2) = (1/2)²
...
Also,
b₁ = a₁
Therefore
b₁ = 1
b₂ = b₁ + a₂ = 1 + (1/2)
b₃ = b₂ + a₃ = 1 + 1/2 + (1/2)²
...
This is the sum of a geometric sequence with common ratio r=1/2.
The 50th term is
The 1000000th term is