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:
8
Step-by-step explanation:
3^2 = 9 - 1 = 8
Answer:
a) 60 graduates
b) Business and social science.
Step-by-step explanation:
In United States, from 2009 to 2010 the Bachelor's Degrees graduates are made up of 22% for business, 10% for social science, 8% is health related, 6% is education and 54% is others. Given that a sample of 1000 college graduates where used,
a) Number of graduates with education degree is equal to 6% of the total college graduates. Therefore:
Number of graduates with education degree = 6% × 1000 = 0.06 × 1000 = 60 graduates
b) Number of graduates with business degree = 22% × 1000 = 0.22 × 1000 = 220 graduates
Number of graduates with social science degree = 10% × 1000 = 0.1 × 1000 = 100 graduates
Number of graduates with health related degree = 8% × 1000 = 0.08 × 1000 = 80 graduates
Number of graduates with other degree = 54% × 1000 = 0.54 × 1000 = 540 graduates
Since Many graduates earn degrees in fields that result in high-paying jobs, the two fields most likely pay more than the others are that of business and social science.
Answer:
Your score is 100.
Step-by-step explanation:
If you have -300 and add +300 you will end up with 0 because when a positive and a negative that are equal cancel each other out. So if you add +300 to -300 you get 0 but its 400 so 300 + 100 is 400 so you have +100 left. : )
