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
V125BC [204]
3 years ago
13

100 points !!! Please help

Mathematics
1 answer:
noname [10]3 years ago
8 0
DERIVATIVE \: \: OF \: \: \\ \: \: \: \: \:PARAMETRIC \: \: FUNCTIONS\\ \\ \\ x = a( \beta - \sin( \beta ) ) \\ y = a(1 - \cos( \beta ) \\ \\ \frac{dy}{d \beta } = a \sin( \beta ) \\ \\ \frac{dx}{d \beta } = a(1 - \cos( \beta ) \\ \\ \frac{dy}{dx} = \frac{a \sin( \beta ) }{a(1 - \cos( \beta ) } = \cot( \frac{ \beta }{2} ) \\ \\ \\ \frac{d^{2}y }{d {x}^{2} } = \frac{d}{dx} ( \ \ \cot ( \frac{ \beta }{2} ) ) = ( - \frac{1}{2} cosec ^{2} \frac{ \beta }{2} ) \times \frac{d \beta }{dx} \\ \\ \\ = (- \frac{1}{2} cosec^{2} \frac{ \beta }{2} ) \times \frac{1}{a(1 - \cos( \beta ) } \\ \\ \\ At \: \beta = \pi \\ \\ = ( - \frac{ 1}{2} {cosec}^{2}\frac{\pi}{2} ) \times \frac{1}{a(1 - \cos(\pi)) } \\ \\ = - \frac{1}{2} . {1}^{2} \times \frac{1}{a(1 - ( - 1))} \\ \\ \\ = - \frac{1}{4a} \: \: \: \: \: \: \: \: \: Ans.
You might be interested in
In the diagram below of a parallelogram STUV, SV=x+3, VU 2x-1, and TU=4x-3. What is the length of SV?
Katena32 [7]

Answer:

SV=5\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In a parallelogram opposites sides are parallel and congruent

so

In this problem

SV=TU ---> by opposite sides

substitute the given values

x+3=4x-3

solve for x

4x-x=3+3\\3x=6\\x=2

Find the length of SV

SV=x+3

substitute the value of x

SV=2+3=5\ units

5 0
3 years ago
What is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?
never [62]

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

7 0
3 years ago
Plz I need help with this ASAP
Hoochie [10]
3x^2 / 4 = 48

Multiply both sides by 4 to get rid of the four on the left.

3x^2 = 192

Divide both sides by 3

x^2 = 64

The square root 64 to get x

Remember there are two answers

x = 8 and x = -8
4 0
3 years ago
Read 2 more answers
If a quadratic equation has 4-i as a solution, what must the other solution be?
Luden [163]

Answer:

4+i

Step-by-step explanation:

A complex number usually took the form a+bi where a and b are real numbers and 'i' represents an imaginary number. For a quadratic equation, the complex roots for the root of a quadratic equation took the form known as complex conjugates. The complex conjugates are formed by changing the sign of the imaginary part.

SO, if a quadratic equation has 4-i as a solution, the other solution must be 4+i.

6 0
3 years ago
The graphs show the amounts in two different bank accounts over several months.
Neko [114]

Answer:

where are the graphs?

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Heather makes 9 dollars for each hour of work. Write and equation to represent her total pay (p) after working (h) hours.
    9·1 answer
  • B. We know the area of a triangle is 12cm? We also know the height is 6 cm. Find
    5·1 answer
  • If a half gallon milk costs $1.24, what is the cost per pint?
    10·1 answer
  • What's your real rate of return if your savings account pays 2.5% interest and
    9·2 answers
  • Henry wants to buy a coat that has an original price of $125. During an upcoming sale, the price of the coat will be reduced by
    11·1 answer
  • The table below shows 6 students' overall averages and their averages
    15·2 answers
  • Make A the subject of the formula<br> R=square root of a/3
    14·1 answer
  • Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and
    15·1 answer
  • Please answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • Plz help i don't wnat links i want you to show the answer on here i trust you will.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!