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
lesantik [10]
2 years ago
14

Find an equation for the line tangent to the curve at the point defined by the given value of d²y/dx².​

Mathematics
1 answer:
mars1129 [50]2 years ago
4 0

Answer:

Step-by-step explanation:

Given:

x = 2cost,

t = (1/2)arccosx

y = 2sint

dy/dx = dy/dt . dt/dx

dy/dt = 2cost

dt/dx = -1/√(1 - x²)

dy/dx = -2cost/√(1 - x²)

Differentiate again to obtain d²y/dx²

d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)

At t = π/4, we have

(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)

You might be interested in
Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9?
Brut [27]

Answer:

The answer is graph B. Have a nice day!

Step-by-step explanation:

3 0
2 years ago
How do you find the surface area of a cube
lianna [129]
Find the surface area of one side and multiply it by 6
6 0
2 years ago
Eva and her children went into a restaurant and where they sell hotdogs for $5 each and tacos for $2.50 each. Eva has $30 to spe
Tanzania [10]

Answer:

8

Step-by-step explanation:

(dont mind my spelling im bad at that)so seeing that one hot dog is 5 dollors

and two hotdogs would cost 10 dollors and that would leave 20 dollors to spend and seeing that one taco is 2 dollors and 50 cents we need to figure out how many times does 2.50 go into 20 which is 8 so eva can buy 8 tacos along with 2 hot dogs

8 0
2 years ago
Read 2 more answers
Trigonometry
quester [9]

Answer:

\frac{9 + 2 \sqrt{3} }{3} \\

Step-by-step explanation:

\cosec(30)  +  \cosec(60)  +  \cosec(90)  \\   \\  = 2 +  \frac{2}{ \sqrt{3} }  + 1 \\  \\  =  \frac{2 \sqrt{3 }  + 2}{ \sqrt{3} }  + 1 \\  \\  =  \frac{2 \sqrt{3}  + 2 +  \sqrt{3} }{ \sqrt{3} }  \\  \\  =  \frac{3 \sqrt{3}  + 2}{ \sqrt{3} }  \\  \\  = \frac{3 \sqrt{3}  + 2}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }  \\  \\  =  \frac{9 + 2 \sqrt{3} }{3}

4 0
3 years ago
Read 2 more answers
2x2−5x=3 Separate the two values with a comma.
nirvana33 [79]
2x^2 -5x -3 = 0

D = 25 +24 = 49

x_1,2 = (5+/- sqrt49)/4 = (5+/-7)/4 = -2/4 = -1/2 and 12/4 = 3 

x_1,2 = -1/2 and 3

hope this will help you 
4 0
3 years ago
Other questions:
  • The area of a rectangular picture frame is 30 1/3 square inches. The length of the frame is 6 1/2 inches. What is the width of t
    15·1 answer
  • 3 = 3<br> O True<br> O False
    5·1 answer
  • The laws that established an official system of slavery in the American colonies
    11·1 answer
  • What is 800,500 minus 276,664
    12·2 answers
  • If x^2/3 = 3 what is x^2
    13·2 answers
  • Can you help me please
    7·1 answer
  • Find the coordinates of the midpoint of segment GH with endpoints: G(-2, -8) and H(-3, -12).
    9·1 answer
  • Please tell me how to do this, I'll mark brainliest if you do
    12·2 answers
  • Select the three fractions that are equal to 4/12.
    11·2 answers
  • The entrance to the louvre museum in paris is a pyramid made of glass and steel. the height of the pyramid is 22 meters and the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!