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
Tcecarenko [31]
3 years ago
15

Find the x-coordinate where the graph of the function f(x) = e(–sinx) has a slope of 0

Mathematics
2 answers:
masya89 [10]3 years ago
5 0

Answer: Hello there!

We have the function f(x) = exp(-sin(x)) and we want to see in wich point the slope is 0.

This is equivalent to see when f'(x) = 0

where f'(x) is the derivative of f(x)

Then the first step is derivate the function f(x)

if we have a function of the form g(h(x)), his derivate is:

g'(h(x))*h'(x)

In our case, g(x) = exp(x) and h(x) = - sin(x)

then f'(x) = exp(-sin(x))*(-cos(x))

Now we know that exp(-sin(x)) is never equal to 0, then we need to se when the cosine is equal to zero.

cos(90°) = 0, and 90° is equivalent to pi/2

Then f'(pi/2) = exp(-sin(pi/2))*(-cos(pi/2)) = 0

this means that the function f(x) has a slope of 0 in the point x = pi/2

balandron [24]3 years ago
4 0

y = e^{-sin(x)}

y' = -e^{-sin(x)}(cos(x))

0 = -e^{-sin(x)}(cos(x))

When is cos (x) = 0?  <em>at 90° (aka π/2)</em>

Answer: \frac{\pi}{2}

You might be interested in
Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6. The probability that the sum of the numbers rolled
HACTEHA [7]
<span>Two dice (each die has 6 sides) can be combined to form 36 different possibilities (6 x 6). 
</span>
3 0
3 years ago
PLEASE ANSWER ASAP: What is the acual area of the meeting room in square yards? (the meeting rooms width is 1.5 inches and the l
wel

Answer:

4.5 yard width, 12 yard length

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
the dimensions of a porch are 16 feet long by 12 feet wide use the scale 1 inch=4 feet what is the width and length in inches
lisabon 2012 [21]
Hi there!

Since the scale is 1 in = 4 ft, we divide both the length and width by 4 to get the new length and width with the scale factor applied. 

16 / 4 = 4
12 / 4 = 3

So, the
length = 4
width = 3

Hope this helps!
7 0
3 years ago
Two coins are flipped how many outcomes are possible
grin007 [14]

Answer:

In an experiment of flipping two coins, there are four possible outcomes.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Determine whether each equation represents a
luda_lava [24]

Answer:

Answer: B

Step-by-step explanation:

The y intercept must be 0. The y intercept for a = - 2. This is not

a proportional relationship

The same comment can be made for C. The y intercept is 1. So C is not the answer.

3 0
2 years ago
Other questions:
  • - 1/3 - (-1/2) what’s the answer? Someone please help!
    10·1 answer
  • If x-9 is a factor of x2 – 5x – 36, what is the other factor?<br> 10X-4<br> x+4<br> ox-6<br> O X+6
    7·1 answer
  • How much tax would you pay on an item at 5% tax rate costing $75? (Round to the nearest cent)
    14·2 answers
  • SOMEONE PLEASE HELP!
    5·1 answer
  • Solve for y from the standard form<br> 3x - 8y = 24
    15·2 answers
  • nia has number cards for the 2,3,8,9,5 what are all the different ways one can arrange the cards of even number of two in the te
    10·1 answer
  • Alyssa has 25$. She spends 4/5 of her allowance on a new shirt . How much did she spend on the shirt
    8·1 answer
  • Heyy!! Can someone help me please!!
    9·2 answers
  • Solve the pair of simultaneous equations<br> x = 4 - y<br> x = y + 2
    6·2 answers
  • What the value of (6)exponent 3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!