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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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How do you break apart the factor 42 using place value?
worty [1.4K]

Hey there!☺

Let's break apart 42.

The 4 is in the tens. The 2 is in the ones.

                            Place Value starting from Thousands

                             Thousands  Hundreds  Tens  Ones

                             _________ ________ ____ _____

                                                                        4          2

So this is how we break up numbers using place value.

Hope this helps!

6 0
2 years ago
At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
Firdavs [7]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
\implies t^2=64
\implies t=\pm8
7 0
1 year ago
Which is the graph of the system x + 3y &gt; –3 and y &lt; One-halfx + 1?
fenix001 [56]

Answer: THE GRAPH IS ATTACHED.

Step-by-step explanation:

We know that the lines are:

x + 3y=-3

y = \frac{1}{2} x + 1

Solving for "y" from the first line, we get:

3y=-x-3\\\\y=-\frac{x}{3}-1

In order to graph them, we can find the x-intercepts and the y-intercepts.

For the line x + 3y=-3 the x-intercepts is:

0=-\frac{x}{3}-1\\\\(1)(-3)=x\\\\x=-3

And the y-intercept is:

y=-\frac{0}{3}-1\\\\y=-1

For the line y=\frac{1}{2} x + 1 the x-intercepts is:

0=\frac{1}{2} x + 1\\\\-1(2)=x\\\\x=-2

And the y-intercept is:

y=\frac{1}{2} (0)+ 1\\\\y=1

 Now we can graph both lines, as you can observe in the image attached (The symbols and > indicates that the lines must be dashed).

By definition, the solution is the intersection region of all the solutions in the system of inequalities.

6 0
1 year ago
Read 2 more answers
Zucchini plants require 9 square feet around each plant.
MrRa [10]
The area of square TUVW = 3×3 = 9 square units

1 square unit = 4 head lettuces
9 square units = 9×4 = 36 lettuces

Area of plot QRST = length × width = 12×6 = 72 square units

36 vegetables for every 9 square units
We have 72÷9 = 8 lots of 9 square units

Total vegetable = 8 × 36 = 288 vegetables

We can have 8 different vegetables, each type can have 36 vegetables
4 0
2 years ago
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in
Anastaziya [24]

Answer:

I'm sorry all I know is part a is 40

Step-by-step explanation:

hope this helps you answer all of the other parts.

=) =) =U

3 0
1 year ago
Read 2 more answers
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