Answer:
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Answer:
C. x^5/2 + 6x^3/2 + 1.
Step-by-step explanation:
(x^3 + 6x^2 + x^1/2) / x^1/2
= x^(3 - 1/2) + 6 x(2-1/2) + 1
= x^5/2 + 6x^3/2 + 1.
Answer:
slope is 3/5
y intercept (0,0)
Step-by-step explanation:
Yay, implicit differnentiation
when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx
for x, the dy/dx dissapears
ok
so differnetiate and solve for dy/dx
3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)
so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5
answer is 2/5
