Answer:
967 times
Step-by-step explanation:
3 / 3499 is 1166.33333
3 / 6399 is 2133
Answer: 14 a hour
Step-by-step explanation:
Answer:
The expression of h as function of x is h = 
Step-by-step explanation:
Given as :
The distance of blimp (AB) = 5500 feet
The slanted distance to the pagoda (BC) = d feet
The horizontal distance (AC) = h
Let the angle made between slanted distance and horizontal distance be Ф
So , cos Ф =
= 
And sin Ф =
= 
∵, cos²Ф = 1 - sin²Ф
So,
= 
Or,
=
Or, h² = d² - 5500²
∴ h = 
Or, h = 
Hence The expression of h as function of x is h =
Answer
The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3