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IRISSAK [1]
4 years ago
11

A function f on [a, b] is called a step function if there exists a partition P = {a = u0 < u1 < ··· < cm = b} of [a, b]

such that f is constant on each interval (uj−1, uj ), say f(x) = cj for x in (uj−1, uj ). (a) Show that a step function f is integrable and evaluate " b a f.
Mathematics
1 answer:
Arturiano [62]4 years ago
3 0

Answer:

IDK

Step-by-step explanation:

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Which term can be added to the list so that the greatest common factor of the three terms is 1217
kifflom [539]

Answer:

1217

Step-by-step explanation:

4 0
3 years ago
C. Find a parametrization for the line segment with endpoints (-1, 3) and (3, -2).
wel

Answer:

x(t) = -1 + 4t

y (t) = 3 - 5t

Step-by-step explanation:

The end points of the line segment are (-1, 3) and (3, -2).

Let a = (-1,3) and b = (3,-2)

Now, find the value of (b-a)

(b-a) = ((3+1), (-2-3))

b-a = (4, -5)

Therefore, the parametrization of the given line segment is

r(t) = a + (b-a)t

r(t) = (-1,3) +(4,-5)t

r(t) = (-1+4t, 3-5t)

We can rewrite this as

x(t) = -1 + 4t

y (t) = 3 - 5t

3 0
3 years ago
On six books shelves there are 72 books per shelf.How many books are there altogether? If 1/3 of these are non-fiction how many
8090 [49]
<h2>Answer:</h2><h3>Part 1:</h3>

Given:

Total shelves: 6

Books per shelve: 72

Total books = ?

Solution:

Total books: 6 * 72 = 432

                                                           Total books = 432

<h3>Part 2:</h3>

Given:

Fiction books = 1/3 of total books

Solution:

Nonfiction books = Total books - 1/3 of total books

                              =   432 - 1/3 * 432

                               = 432 - 166 = 266

                                           Non- fiction books = 266

6 0
3 years ago
(+20) + (-4) [(+3) 2 - (+6)]
Jobisdone [24]
-10............................
6 0
3 years ago
Given m = 2 and the point (-1, 7), which of the following is the point-slope form of the equation?
ANEK [815]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (-1, 7) and the slope m = 2. Substitute:

y-7=2(x-(-1))\\\\\boxed{y-7=2(x+1)}\to\boxed{b.}

3 0
4 years ago
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