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IRISSAK [1]
2 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]2 years ago
3 0

Answer:

IDK

Step-by-step explanation:

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Sarah was collecting money for charity. By Sunday night she had collected 55% of her target amount. On Monday she collected anot
vfiekz [6]

Answer = 350


Step-by-step explanation:


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1 year ago
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Metallic colored plastic is being injected into molds to manufacture small beads for a crafts supplier. One of these beads is co
saveliy_v [14]

Answer:

Volume of Beads = 84 mm³

Step-by-step explanation:

Given:

Side of base = 6 mm

Height = 7 mm

Find:

Volume of Beads

Computation:

Volume of Beads = Volume of a square pyramid

Volume of Beads = [1/3][Area of base][h]

Volume of Beads = [1/3][6 x 6][7]

Volume of Beads = 84 mm³

3 0
2 years ago
The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Als
krok68 [10]

Answer:

D.

Step-by-step explanation:

Rate of change is another way of saying "find the gradient".

Sub any value into the gradient formula.

3 0
1 year ago
Find the first partial derivative:<br><br> f(x, y) = y^5 -3xy
Romashka-Z-Leto [24]
Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.

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8 0
1 year ago
The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain
Amiraneli [1.4K]

Answer:

The domain is (-∞ , ∞)

The domain is continuous

Step-by-step explanation:

Here, we want to identify the domain of the linear function

The domain in this case can be represented by the set of all real numbers.

When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books

Thus, the domain here will be (-∞ , ∞)

On if the domain is discrete or continuous, we can see that the domain is continuous.

The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous

8 0
1 year ago
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