Answer:
A, 11.7
Step-by-step explanation:
B, No
Answer:
At the point where x = 2.
Step-by-step explanation:
First find the derivative which gives us the gradient of the tangent at any point on the curve:
y = 5x^2 - 16x
y' = 5*2 x^(2-1) - 16 x(1-1)
y' = 10x - 16.
y' is the gradient at point of coordinate x.
So when the gradient = 4:
4 = 10x - 16
10x = 20
x = 2.
Answer:
Tip is $8.64
Everyone pays $22.08
Step-by-step explanation:
57.60×8%=$8.64
57.60+8.64=$66.24
$66.24÷3=$22.08
Answer:

Step-by-step explanation:
h= 1000 ft
dx/dt= 232 ft/sec
D= 1600 ft
First, we have to find a distance x ( shown in the figure)
applying pythagorus theorem
D^2= h^2+x^2................1
x^2= D^2-h^2
= 1600^2-1000^2
x^2= 1560000
x=1248.99 m
Now we can find out how fast the aircraft is receding from the trawler
( notice that the height is not changing)
so differentiating equation 1 w.r.t t we get

2DD'= 2hh'+2xx'

now putting values we get


Answer:
(t + 6)(t - 6)
Step-by-step explanation:
(t - 6)(t + 6)
(t . t) + (t . (6) + ((-6) . t) + ((-6) . 6)
= t² - 6t + 6t - 36
= t² - 36
so,
t² - 36 = (t + 6)(t - 6)