Answer:
10.49
Step-by-step explanation:
(picture shows)
Step-by-step explanation:
A left Riemann sum approximates a definite integral as:

Given ∫₂⁸ cos(x²) dx:
a = 2, b = 8, and f(x) = cos(x²)
Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).
Plugging into the sum:
∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)
Therefore, the answer is C. Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).
Answer:
Yes, if x < -1
Step-by-step explanation:
Is x + 5 less than 4?
x + 5 < 4
x < 4 - 5
x < -1
Yes, if x < -1
Answer:
perimeter = 20 m
Step-by-step explanation:
given the area of the square = 25 m² and
area of a square = s² ( where s is the side length ), then
s² = 25 ( take the square root of both sides )
s =
= 5 ← length of side
perimeter = 4s = 4 × 5 = 20 m