Step-by-step explanation:
Joe's climbing rate is not constant
3 × 2 = 6
8 × 1.5 = 12
12 × 1.1666666667 = 14
Time when climber reaches 30ft is unknown because climbing rate is not constant
Zas's climbing rate is 2.5
2 × 2.5 = 5
4 × 2.5 = 10
12 × 2.5 = 30
At 12 seconds, Zas reaches 30 feet.
Stephen's climbing rate is 4
2 × 4 = 8
4 × 4 = 16
6 × 4 = 24
30 ÷ 4 = 7.5
7.5 × 4 = 30
At 7.5 seconds, Stephen reaches 30 feet.
Answer: the answer is 28
Step-by-step explanation:
Answer:
12083.3314
Step-by-step explanation:
5*5*5= 125
125/3=41.66666
41.66666*290= 12083.3314
Notice, 3 decimals, so, we can just use 3 zeros, thus
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).