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
9966 [12]
2 years ago
14

The diagram shows the curve with equation y = ( 1 + x ) cosx.

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
8 0

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

y=(1+x)\cos x

\textsf{when}\:x=0:

\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}

\textsf{when}\:x=\dfrac{\pi}{6}:

\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}

\textsf{when}\:x=\dfrac{\pi}{3}:

\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}

\textsf{when}\:x=\dfrac{\pi}{2}:

\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}

You might be interested in
Y=6x - 11 -2x - 3y = -7
Ray Of Light [21]
<h2>Therefore x=2 and y= 1</h2>

Step-by-step explanation:

Given equations are

y = 6x -11                    and         -2x -3y = -7.........(2)

⇒y - 6x = -11.......(1)

Equation (2)× 3 - Equation (1)

-6x -9y -(y-6x) = -21 -(-11)

⇔-6x -9y-y+6x=-21+11

⇔-10y = -10

⇔y=1

Putting the value of y in equation (1) we get

1 = 6x -11

⇔x =2

Therefore x=2 and y= 1

3 0
3 years ago
3y+4=11y PLEASE STEP BY STEP: SHOW WORK PLEASE AND THANK YOU !!
bija089 [108]
3y + 4 = 11y
(take away 3y from both sides)
4         = 8y
(divide by 8 on both sides)
0.5      = y

y = 0.5

4 0
3 years ago
Read 2 more answers
Which property is demonstrated by this equation (1+2)+3=1+(2+3)
11Alexandr11 [23.1K]
Associative property
6 0
3 years ago
Read 2 more answers
Choose the correct simplification of the expression (3x)4.
Sonbull [250]

Answer:

81x4

~Hope this answers your question!~

3 0
2 years ago
Read 2 more answers
Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)
Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

<u>First, lets see if line AB is parallel to line CD.</u>

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

<u>Now, lets see if line BC is parallel to line AD.</u>

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

<u>Conclusion</u>

ABCD is a parallelogram because it contains two parallel sides.

5 0
2 years ago
Other questions:
  • What is the equation of a line that passes through the point (3,6) and (8,4)
    12·1 answer
  • I NEED ASAP!!! PLEASE. Mom Nick has 7.00$. Bagels cost 0.75$ each and a small container of cream cheese is 1.29$. Write an inequ
    9·1 answer
  • Add and subtract the values. Express your answer in scientific notation.
    14·1 answer
  • A jar has 15 pink gumballs, 21 blue gumballs, 19 red gumballs, and 19 yellow gumballs. Which colored gumball has the greatest pr
    10·2 answers
  • Tell me the answers
    15·1 answer
  • Someone please help me
    7·2 answers
  • B)<br> Work out the size of one interior angle.<br> NEED HELP WITH B <br> thanks everyone
    9·1 answer
  • A family buys 4 airline tickets online. The family buys travel insurance that costs $16 per ticket. The
    5·1 answer
  • 9) Eva can knit 2/5 of a scarf in an hour. Her sister takes 3/4 of the time she
    5·1 answer
  • The lines 5x+2y=14 and y=-5x+9 are?<br> A: Parallel<br> B: Perpendicular <br> C: Neither
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!