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).
To see if it’s linear use a pencil and see if any lines touch more than one point (just look up pencil line test) and 1-4 just draw out a graph (and since it goes up to hundred don’t count by 1s count by 10 or or something
Hope you kind of get the idea sorry I’m not the best at explaining stuff :)
Answer: looks about true to me :)
Step-by-step explanation:
Answer:
108 student tickets, and 176 adult tickets were sold.
I hope I helped, and thanks for the points!
Step-by-step explanation:
