Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently
Answer:
Step-by-step explanation:
I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.
20% is 20/100, 1/5, or 0.2
The number will decrease by a factor of 5.
They amount to 168 legs.
Each spider has 8 legs; 8(8) = 64
Each cockroach has 6 legs; 5(6) = 30
Each bee has 6 legs; 7(6) = 42
Each deer has 4 legs; 3(4) = 12
Each cow has 4 legs; 4(4) = 16
The antlered creature will have 4 legs; 1(4) = 4
Adding all of these together,
64+30+42+12+16+4 = 168
Answer:
Step-by-step explanation:
Here, we assume that point A is (-1, 0) and point B is (z, 2). Since angle BAD is 60°, we have ...
2/(z+1) = tan(60°) = √3
z = (2/√3) -1
Putting the value of z into the equation for the parabola lets us find "a".
2 = a(z +1)(z -5) = a(2/√3)(2/√3 -6)
Then ...
a = 2/(4/3 -12/√3) = (6√3)/(4√3 -36)
a = -(3+9√3)/52 ≈ −0.357470332079
