a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )b ) f ` ( x ) =
=
( 2 x³ - 16 x ) / √(x^4 - 16 x²)c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34
Answer:
Kevin could drive 408 miles using 16 miles of gas.
Step-by-step explanation:
357 (1/14) = 25.5
25.5 (16) = 408
The answer is:
y = 3x - 8
Find b by plugging in the point (x,y) which is (3,1).
1= 3(3)+b
1= 9 + b
-8 = b
Answer:
5x^3-x-3
Step-by-step explanation:
5x^3-2-x-1
5x^3-x-3
We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.
Let us assume t=0 corresponds to year 1980.
Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).
We can to find a linear function passing through these points. Let us first find slope of the linear function:
We can write the required linear function as:
Upon simplifying this, we get:
In order to find per capita consumption in 1995, we need to substitute t=15 in this function.
Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.
