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
Miriam is setting up a fishing game in a kiddie pool for her niece's birthday party. The pool has a circular base with a diamete
AURORKA [14]

Answer:

4.7 feet³ of water

Step-by-step explanation:

Diameter of 4 feet

Radius = 2 feet

Height = 0.75 feet

Formula for Volume = 2·\pi·radius·height

But she only wants to fill half, so divide by 2, cancels the 2 in the formula for volume, giving us: \pi·radius·height

\pi·2·0.75 = 4.71 feet³

7 0
3 years ago
Does the point (3, 83) satisfy the equation y = x2 – 6x – -92?
bazaltina [42]
Plug in 83 for y and 3 for x
83 = 3^2 - 6 (3) + 92
83 = 9 - 18 + 92
83 = -9 + 92
83 = 83 so it works
6 0
3 years ago
Read 2 more answers
the length of a rectangle is 4 1/6 inches and the width of the rectangle is 8 2/3 inches what is the area of the rectangle
V125BC [204]
36 1/9 is the area
thanks
8 0
3 years ago
What is the volume of a rectangular prism when the measures are
grin007 [14]

L:8

W:16

H:24

8*16*24=3072

The answer is A

6 0
3 years ago
Please help me with this problem
tigry1 [53]

Answer:

A- 30,968 + 31,211

Step-by-step explanation:

Since 62,179 minus 31,211 is equal to 30968, 30968 plus 31,211 can be used to help check the answer for 62,179 minus 31,211.

5 0
3 years ago
Other questions:
  • The sides of a central angle are two ____ of the circle A) diameters B) radii C) arcs D) chords
    6·1 answer
  • Help Plz
    8·2 answers
  • What is the greatest common factor of 24s^3, 12s^4, and 18s?
    12·2 answers
  • The factors for x^2 + 5x + 6 are x + 2 and x + 3. True or false?​
    11·2 answers
  • 7/12 - □ = 1/6<br><br><br>□ = ________​
    7·1 answer
  • The angle of elevation from a soccer ball on the ground to the top of the goal is 34. If the goal is 8 feet tall, What is the di
    10·1 answer
  • A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your an
    11·1 answer
  • Please help me on the picture above. I will give points and give five stars for correct answer.
    11·2 answers
  • I need help thank you
    6·1 answer
  • Answer this question to chick you knowledge
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!