Answer:
y= (-9/2)*x-5/2 or 2y+9x+5=0
Step-by-step explanation:
given the following equation
y² = 5*x⁴ - x²
we can take the derivative with respect to x in both sides to get the slope of the tangent line , and knowing that y=f(x) we can apply the chain rule , therefore
d(y²)/dx = d(5*x⁴ - x²)/dx
2*y*dy/dx = 5*4*x³ - 2*x
dy/dx = (10*x³-x)/y
replacing values (x=-1,y=2)
m=dy/dx = (10*(-1)³-(-1))/2 = -9/2
now from the equation of the line
y= m*x+h
we know that (x=-1,y=2) belongs also to the line since it is tangent to the curve, thus
2= (-9/2)*(-1) + h
h = 2 - 9/2 = (-5/2)
thus
y= (-9/2)*x-5/2
or
2y+9x+5=0
Answer:
8 + 4i
Step-by-step explanation:
Put corresponding terms above each other and subtract in the usual way.
z = 3 + 5i
<u> w = -5 + i
</u>
z - w = 8 + 4i: 3 - (-5} = 8; 5i - 1i = 4
i
The average is (0.76+0.88) / 2 = 1.64 / 2 = 0.82
For solving varible's and for real life questions.
EXAMPLE when you want to figur out what does X eqles
X×4=12 you have to take 12÷4 and that eqles 3
Answer:
PR = PQ and ST = UT.
If this is not correct then:
PR = 8 ans UT = 2z+3
Step-by-step explanation: