Split up the interval [0, 3] into 6 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]
The right endpoints are given by the arithmetic sequence,
with .
We approximate the integral of on the interval [0, 3] by the Riemann sum,
Recall the formulas,
Then the value of the integral is approximately
Compare to the exact value of the integral, -9.
Answer:
Step-by-step explanation:
1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,
Length of the diagonal =
=
= 25√2
AC ≈ 35.56 units
2). Since, diagonal of a square is the angle bisector of interior angles of the square,
m∠CAB = 45°
By applying sine rule in ΔABC,
sin(45°) =
AC = 25√2
AC ≈ 35.56 units
