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
natita [175]
3 years ago
11

At what point on the curve y=x+2cos x is the tangent horizontal in the interval [-2pi, 2pi]

Mathematics
1 answer:
k0ka [10]3 years ago
8 0
\bf y=x+2cos(x)\qquad \qquad [-2\pi ,2\pi ]\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=1-2sin(x)\implies 0=1-2sin(x)\implies sin(x)=\cfrac{1}{2}
\\\\\\
\measuredangle x=sin^{-1}\left( \frac{1}{2} \right)\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}\\\\
\frac{5\pi }{6}
\end{cases}

only in the 1st and 2nd quadrants, where sine is positive
You might be interested in
Calculate the missing length for this cylinder
Snezhnost [94]
I assume by the length you mean height so,

\frac{6908}{ \pi * 22^{2} } ≈ <span>4.54.

if you're supposed to round it, it'd be either 4.50, or 5
</span>
I hope this helps
5 0
3 years ago
Read 2 more answers
Select the correct answer.
exis [7]
F(x)=2^x is the answer
5 0
3 years ago
How to factor 6n2 - 6n - 12
alexandr402 [8]

We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:

6n^2-6n-12 = 6(n^2-n-2)

We can set this equal to 0 and factor by using the quadratic formula which is:

x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

So, let's do just that:

6(n^2-n-2) = 0

Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:

\frac{1 \pm \sqrt{(-1)^2-4(1)(-2)} }{2(1)} = \frac{-1 \pm \sqrt{1-(-8)} }{2}

\frac{-1 \pm \sqrt{9} }{2} = {1, -2}

So, we can write this as:

6n^2 - 6n - 12 = 6(n-1)(n+2)

Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!

7 0
3 years ago
A music school charges a registration fee in addition to a fee per lesson. Write an equation if each lesson costs $40 and a regi
Jobisdone [24]
T = total cost for music school
L = # of lessons

T = $1,190 + ($40 × L)
T = $1,190 + ($40 × 12)
T. = $1,190 + $480
T = $ 1,670 for 12 lessons
3 0
3 years ago
How many different arrangements can be made with the letters from the word topic? 24 120 3,125 10?
Gala2k [10]
I believe its 24 but i may be wrong
5 0
3 years ago
Other questions:
  • Answer as a decimal with four decimal places.
    12·1 answer
  • L how many pairs of parallel sides does a trapezoid have
    11·1 answer
  • If p varies inversely with q, and p = 2 when q = 1, find the<br>equation that relates p and q.​
    11·1 answer
  • Solve the triangle. Round your answers to the nearest tenth.
    9·1 answer
  • HELP PLEASE! I'll give you the most stars for explaining and giving the answer
    14·1 answer
  • -105=7(1+2n)<br> A:-8<br> B-4<br> C-10<br> D:-9<br> What’s the value of n in this equation?
    8·1 answer
  • Can an absolute value function have an inverse function? why or why not?​
    15·1 answer
  • Z=11.1i-45 re(z) and lm(z)
    6·1 answer
  • Find the sum of 10x^2-6 and x +6​
    13·1 answer
  • X+6/x+3 X x-6/x-3<br><br> A. 2x-12/x-3<br> B. x-12/x-6<br> C. x^2-12/x^2-6<br> D. x^2-36/x^2-9
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!