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:
535 pounds of apples
Step-by-step explanation:
Just add 212 lb & 323 lb
Answer:
C
Step-by-step explanation:
This is because the line was growing starting form the y-int=2.
Now the line is decreasing starting from y-int=2.
X² + 20 = 4
x² = 4 - 20
x² = -24 ⇒ no real number solutions
F + 6 - 6 = -6 -6
F = -12
Hope this helps!
