Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
Answer:
y=1/3x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-(-2))/(6-0)
m=(0+2)/6
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-(-2)=1/3(x-0)
y+2=1/3(x)
y+2=1/3x
y=1/3x-2
Answer:
a) v=6
b) s= u^2 - v^2 : -2a
Step-by-step explanation:
v^2=u^2+2as
u=12, a=-6, s=9
a)
(12)^2= 12 * 12= 144
v^2=u^2+2as
v^2=(12)^2+ 2*(-6)*9
v^2=144+(-12)*9
v^2=144+(-108)
v^2=36
v=6
b)
v^2=u^2+2as
-2as=u^2 - v^2
s= u^2 - v^2 : -2a
check for s
s= 144 - 36 : -2(-6)
s= 108 : 12
s=9 (equal vs the given)
Answer:
X= -4
Step-by-step explanation:
First you subtract both sides by 3. You will get:
5x=-20
then you divide both sides by 5
-20/5=-4 so
x=-4
Answer:
<1 and <2 are vertical angles.
Step-by-step explanation:
Since they are the same measurements, and are on opposite sides, that makes them vertical angles.
