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
alexdok [17]
3 years ago
8

An equation of the line tangent to y=sin x + 2cosx at (pi/2, 1) is?

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

B.   2x + y = pi + 1.

Step-by-step explanation:

y = sin x + 2 cos x

The slope of a line tangent is the derivative, so:

y' =  cos x - 2 sin x

At  (pi/2, 1) , substituting for x:-

cos pi/2 - 2 sin pi/2

= 0 - 2 * 1 = -2.

So the slope is - 2 and an equation  can be found by using the point-slope formula:

y - y1 = m(x - x1) so:

y - 1 = -2(x - pi/2)

y = -2x + pi + 1  

2x + y = pi + 1.

You might be interested in
BRAINLIEST TO WHOEVER CAN HELP ME !!Select the correct statement about the function represented by the table.
Paha777 [63]
B would be the answer
7 0
3 years ago
Sophie found the volume of the figure below by using the steps shown.
Westkost [7]

Answer: it's C Sophie used the wrong height for the pyramid

It's Right cause I took the test.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
irakobra [83]
Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891
6 0
3 years ago
__ x 5 &gt; 5 <br><br> 3/3 <br> 2/3<br> 5/3
Citrus2011 [14]
_ * 5 > 5

3/3 is equal to 1 which would make them equal to each other.
2/3 is less than one which means it would make the number on the left less than 5, not greater than.
the answer is 5/3 because it is bigger than the other answer choices and will result in a greater number than that on the right.
7 0
2 years ago
Read 2 more answers
Math class, need help on this. Anybody?? ​
ASHA 777 [7]

Answer:

y = 2x-5

Step-by-step explanation:

y = 2x+2

We know the slope of this line is 2 because it is in the form y =mx +b  where m is the slope

We want a parallel line so it has the same slope

We can use the point slope form of the equation

y-y1 = m(x-x1)

y--1 = 2(x-2)

y+1 = 2(x-2)

Distribute

y+1 = 2x-4

Subtract 1 from each side

y+1-1 = 2x-4-1

y = 2x-5

This is in slope intercept form

3 0
3 years ago
Other questions:
  • Express the shaded area as a fraction, a decimal, and a percent of the whole.
    14·1 answer
  • How do you round 26681.29399 to the nearest tenth
    12·2 answers
  • You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 100 dollars gi
    5·1 answer
  • Factor the expression using the GCF.<br> 60 – 36 =
    7·1 answer
  • Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below.
    5·1 answer
  • determine if each polygons are similar, if so, write the similarity statement and the similarity ratio. if not explain why.
    7·1 answer
  • What is 4 over 6 divided by 2 over 4?
    10·1 answer
  • Ralph is an electrician. He charges an initial fee of $26, plus $31 per hour. If Ralph earned $119 on a job, how long did the jo
    7·1 answer
  • Simple interest? of 1500-P R-2.5% and t-5 yrs
    13·1 answer
  • Which problem could be solved by evaluating the expression 7 x (-3)?​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!