MATHEMATICS HIGH SCHOOL

Graph each pair of parametric equations.
x = 3 sin^3t
y = 3 cos^3t

Answers

Answer 1
Answer:

Answer with explanation:

We are given a parametric equation as:

           x=3 \sin^3 t

and      y=3 \cos^3 t

Hence, we can represent our equation as:

\sin^3 t=(x)/(3)\n\n\n\sin t=((x)/(3))^{(1)/(3)}\n\n\nHence,\n\n\sin^2 t=((x)/(3))^{(2)/(3)}\n\nand\ similarly\n\n\cos^3 t=(y)/(3)\n\n\cos t=((y)/(3))^{(1)/(3)}\n\nHence,\n\n\cos^2 t=((y)/(3))^{(2)/(3)}

As we know that:

\cos^2 t+\sin^2 t=1

Hence, on putting the value in the formula we get the equation in rectangular coordinates as:

((x)/(3))^{(2)/(3)}+((y)/(3))^{(2)/(3)}=1

Hence, this is a equation of a  ASTROID.
Answer 2
Answer: Hello,

This is an astroïde.

(x/3)^(2/3)+(y/3)^(2/3)=1

Related Questions

Pls help me on this!
What does M.A.D stand for in math?
Solve each equation for the given variable a-2b=-10 for b
Is #1 correct and I need help on #2 THANKS :)
Holly has watched 39% of a movie that is 122 minutes long. Which is the best estimate for the number of minutes of the movie that Holly has watched? 36 minutes 39 minutes 48 minutes 52 minute

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m^2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?Question 4 options:

a) 14 m wide

b) 13 m wide

c) 12 m wide

d) 11 m wide

Answers

area=legnth times width
192=(9+x)(13+x)
solve
expand
192=117+22x+x^2
minus 192 both sides
0=x^2+22x-75
factor
0=(x-3)(x+25)
set to zero

x-3=0
x=3

x+25=0
x=-25
not possible since that gives negative legnths and widhs

increased by 3

shorter is 9
9+3=12

C is ansre

Which function is shown in the graph below?

Answers

The graph is not shown

Need help. 35-(-55)=?

Answers

the answer is 90.Remember that whenever you see two - signs right next to eachother it turns into an addition sign
Remember that subtracting a negative number is the same as adding a positive number.(two negatives equals a positive) For example:

35-(-55)=35+55

They are both equivalent. Now we can solve..

35+55=90

Answer=90

What is 1.21 divided by 3cm

Answers

Answer:

0.40333 repeating

Step-by-step explanation:

if the 1.21 is also cm, then this is the answer

Answer:

0.40 (Assuming you're rounding to the tenths place.)

Step-by-step explanation:

Al Johnson is a word processor. He is paid $2.95 a page. A normal job has 600 pages and requires about 225 words per page. About how much will Al receive for his work?

Answers

Answer:

Al will receive $1770 for his work.

Step-by-step explanation:

Given : Al Johnson is a word processor. He is paid $2.95 a page.

To Find: A normal job has 600 pages and requires about 225 words per page. About how much will Al receive for his work?

Solution:

Cost of 1 page = $2.95

So, cost of 600 pages = 2.95 * 600

                                     = 1770

Hence Al will receive $1770 for his work.
2.95 per page for 600 pgs...
2.95 * 600 = $ 1770

Find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33

Answers

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

  • Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 3

f(x) = 33

Step 2: Solve for x

  1. Substitute:                    33 = 4x - 3
  2. Isolate x term:               36 = 4x
  3. Isolate x:                       9 = x
  4. Rewrite:                        x = 9
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