1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
3 years ago
7

(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t<00≤t<11≤t<7t≥7;f(t)={0,t<0−5,0≤t<1−6,1≤t<76,t≥7; 1. wr

ite the function in terms of unit step function
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0
f(t)=\begin{cases}0&\text{for }t

Recall that

u(t)=\begin{cases}0&\text{for }t

Take it one piece at a time. For t\ge0, we can scale u(t) by -5:

-5u(t)=\begin{cases}0&\text{for }t

If we shift the argument by 1 and scale by -5, we have

-5u(t-1)=\begin{cases}0&\text{for }t

so if we subtract this from -5u(t), we'll end up with

-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t

For the next piece, we can add another scaled and shifted step like

-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t

so that

-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t

For the last piece, we add one more term:

6u(t-7)=\begin{cases}0&\text{for }t

and so putting everything together, we get f(t):

f(t)\equiv-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)+6u(t-7)
f(t)\equiv-5u(t)-u(t-1)+12u(t-7)
You might be interested in
Identify an equation in point-slope form for the line perpendicular to y = -1/2x + 11 that passes through (4, -8)
andrey2020 [161]

Answer:

y+8 = 2(x-4)

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. Since we know the slope of the first line is -1/2, this means the slope of the line perpendicular to it is 2.

And since we know the coordinated located on the line, we can fill out the formula for poiny-slope form:

y-y1 = m(x-x1)

6 0
3 years ago
Find the measure of the missing angle .
Nana76 [90]

Answer:

c = 99 and b = 81

7 0
2 years ago
Use properties to find the sum or product of 93+(68+7)
zaharov [31]
93 + (68 + 7)
93 + 75
168
7 0
3 years ago
The number is 9,18,27,36,45 what is the question?
MissTica

Hello from MrBillDoesMath!

Answer:    I'd guess it's  "find the next number in the sequence"  (which is 54)

Discussion:

9 * 1 = 9

9 * 2 = 18

9 * 3 = 27

9 * 4 = 36

9 * 5 = 45

9 * 6 = 54

Thank you,

MrB

7 0
3 years ago
Read 2 more answers
Question
mixer [17]

The intervals are given as follows:

  • In range notation: [-282, 20,320].
  • In set-builder notation: {x|x ∈ ℝ, -282 <= x <= 20,320}

<h3>What is the range of elements notation for interval?</h3>

The range of elements notation for interval is given by:

[a,b].

In which:

  • a is the smallest value.
  • b is the greatest value.

In this problem these values are given by:

a = -282, b = 20,320.

Hence the interval in range notation is given by:

[-282, 20,320].

<h3>How to write the interval in set-builder notation?</h3>

The same interval can be written as follows, using set-builder notation?

{x|x ∈ ℝ, a <= x <= b}

Hence, for the situation described in this problem, the set-builder notation for the values is:

{x|x ∈ ℝ, -282 <= x <= 20,320}

More can be learned about notation of intervals at brainly.com/question/27896097

#SPJ1

5 0
2 years ago
Other questions:
  • The base of a triangle is 4.4 m. The height of a triangle is 250 cm.what is the area of the triangle in square meters?
    9·2 answers
  • An equilateral triangle ΔLMQ (see picture to the right) is drawn in the interior of square LMNP so that side LM is common. Find
    5·1 answer
  • First to answer gets brainliest
    10·1 answer
  • What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
    7·1 answer
  • Please help pls pls pls plssss
    6·2 answers
  • A computer store buys a computer system at a cost of ​357.60$. The selling price was first at 596$ ​, but then the store adverti
    15·1 answer
  • Charlie makes a batch of 90 cookies and divides it into smaller batches. If there is 1/3 cup of flour in each small batch, how m
    9·1 answer
  • PLZ HELP IF ITS CORRECT ILL BE SO GRATEFUL IMAO
    8·2 answers
  • 1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)​
    5·1 answer
  • If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!