Mathematics, 16.04.2020 00:39 RKennedy3654
In this problem you will calculate ∫305x3dx by using the formal definition of the definite integral: ∫baf(x)dx=limn→[infinity][∑k=1nf(x∗ k)Δx]. (a) The interval [0,3] is divided into n equal subintervals of length Δx. What is Δx (in terms of n)? Δx = (b) The right-hand endpoint of the kth subinterval is denoted x∗k. What is x∗k (in terms of k and n)? x∗k = (c) Using these choices for x∗k and Δx, the definition tells us that ∫305x3dx=limn→[infinity][∑k=1nf(x∗k )Δx]. What is f(x∗k)Δx (in terms of k and n)? f(x∗k)Δx = (d) Express ∑k=1nf(x∗k)Δx in closed form. (Your answer will be in terms of n.) ∑k=1nf(x∗k)Δx = (e) Finally, complete the problem by taking the limit as n→[infinity] of the expression that you found in the previous part. ∫305x3dx=limn→[infinity][∑k=1nf(x∗k )Δx] =
Answers: 1
Mathematics, 21.06.2019 16:40, lauramount
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Mathematics, 21.06.2019 22:00, harrypottergeek31
Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft. what is the area of the stage? enter your answer in the box. ft²
Answers: 2
In this problem you will calculate ∫305x3dx by using the formal definition of the definite integral:...
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