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Question: (a) Using summation notation, write the left-hand Riemann sum with n subdivisions for 1∫2 t2dt.
(b) Use a computer algebra system to find a formula for the Riemann sum.
(c) Evaluate the limit of the sum as n approaches infinity.
(d) What is the area under the graph of y = t2 between t = 1 and t = 2?
the sale price of the luggage carloine bought was $1.60. the sales tax she paid was $8.80 what was the percent of the sales tax
Responses to Other Students: Respond to at least 2 of your fellow classmates with at least a 1-paragraph reply about their Primary Task Response regarding items you found to be compelling and enlightening.
Linear Combinations, Basis and Transformations, 1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this?
A paint mixture contains 23 gallons of base for every gallon of color. In 552 gallons of paint, how many gallons of color are there?
Solve, assuming a linear equation fits the situation The value of a graphing calculator is $225. After 2 years, the value of this calculator is $160. Find the value of the calculator after 5 years.
Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 32.02 ounces.
Find the expected payback for the games of chance described in exercise, In one form of roulette, you bet $1 on "even." If 1one of the 18 even numbers comes up, you get your dollar back, plus another one. If 1 of the 20 noneven (18 odd, 0, and 00)..
Test at the 1% level of significance, whether the two population proportions are significantly different. Formulate and test the appropriate hypotheses. Use the critical value approach.
Find the angle between the velocity and acceleration vectors at time t=1. At what time(s), if any, are the particle's velocity and acceleration orthogonal? Find the particle's speed at time t=1.
A high-speed train makes a 320 mile nonstop run between two major cities in 512 hours. The train travels 80 mph in the country, but safety regulations require that it travel only 20 mph when passing through smaller, intermediate cities. How many h..
Find the directrix, focus and roots of the parabola from the given data and sketching the graph of given equation
Below is the graph of f(x). For each of the given points determine the value of f(a) and lim x→af(x) . If any of the quantities do not exist clearly explain why.
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