Hello :
the tangent has same slope of the line 16x -y +5 = 0 because parallel.
y = 16x + 5
the slope is : 16
but : f'(x) = 16
f'(x) = 16x^3 - 16x +16
solve : 16x^3 - 16x +16 = 16
x^3 - x +1 =1
x^3 - x = 0
x(x² - 1 ) =0
x(x -1 )(x +1) =0
x=0 or x-1 =0 or x +1= 0
x=0 or x = 1 or x = -1
if : x = 0 : y = 4(0)^4 -8(0)^2+16(0) +7 =7
if : x =1 : y = 4(1)^4 -8(1)^2+16(1) +7 = 19
if : x = -1 : y = 4(-1)^4 -8(-1)^2+16(-1) +7 = -13
<span>the points : A(0,7) , B(1 , 19) , c ( -1 , -13)</span>
Find a common demoninator for example 6 because all of the denominators can go into 6 then you should find your answer quite easily when u add the fractions because all you have to do is add the numerator together to get to 2/3 (4/6)
Answer:
Step-by-step explanation:
where f(x) is replaced by y
Take Laplace on both sides
We can resolve into partial fraction to get Y = L(y)
Let this equals
Solving we get
s=-9
24C = 10 or C =5/12
s=-2: A=10/12=5/6
s=-4: B = -5/4
Taking inverse Laplace
Answer:
$47.92
Step-by-step explanation:
20% discount: $599 * 80% = $479.2 before tax
15% tax added: $479.2 + $71.88 = $551.08
Saved money: $599-$551.08= $47.92
