Answer:
-4/5
Step-by-step explanation:
To find the slope of the tangent to the equation at any point we must differentiate the equation.
x^3y+y^2-x^2=5
3x^2y+x^3y'+2yy'-2x=0
Gather terms with y' on one side and terms without on opposing side.
x^3y'+2yy'=2x-3x^2y
Factor left side
y'(x^3+2y)=2x-3x^2y
Divide both sides by (x^3+2y)
y'=(2x-3x^2y)/(x^3+2y)
y' is the slope any tangent to the given equation at point (x,y).
Plug in (2,1):
y'=(2(2)-3(2)^2(1))/((2)^3+2(1))
Simplify:
y'=(4-12)/(8+2)
y'=-8/10
y'=-4/5
Answer: (2,-2)
Step-by-step explanation:
Rotating 90 degrees counterclockwise (about the origin) maps (x,y) onto (-y,x), so the answer is <u>N'(2,-2)</u>
1400 = Deposited money
210 = Gained money
1400 + 210 = 1610 Amount of money in savings account
Answer:
<u>92 feet.</u>
Step-by-step explanation:
Given:
The length of the garden needs to be 22 feet longer than the width of the garden.
The perimeter of the fence is a total of 324 feet
Question asked:
What will the length be of garden ?
Solution:
As length of the garden needs to be 22 feet longer than the width,
<u>Let width</u> = 
Then,<u> length </u>will be = 
As here perimeter of the fence is given, we can find length and width of garden by using:
Perimeter of rectangle = 
Subtracting both sides by 44
Dividing both sides by 4
Width = = 70 feet
Then, length will be = = 70 + 22 = 92 feet
Therefore, the length of the garden will be 92 feet.
y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
