Answer:
Step-by-step explanation:
We will first find the derivative of the function to get the formula for the slope of the tangent. Using implicit differentiation, we find that:
and
Solving for the derivative and at the same time simplifying within the parenthesis:
so
If our tangent line is vetical, that means that the slope is undefined. Our slope is undefined where y = 0. Therefore, we need to find x when y = 0 in our original equation. If y = 0, then
becomes
and
That means that x = 0 (we divide away the negative on the x, and since 0 isn't negative or positive, we get that x^4 = 0)
That means that the point at which the tangent is vertical is (0, 0)
Answer:
(b) Function B
Step-by-step explanation:
The exponent of 2 in Function B tells you it is nonlinear. A linear function will not have any product of variables or any roots.
You know function A is linear because the differences in x-values are all the same, and the differences in y-values are all the same. What makes it linear is that the ratio of y-differences to x-differences is a constant:
Δy/Δx = (8 -10)/(2 -0) = -1 = (6 -8)/(4 -2) = (4 -6)/(6 -4)
__
Function B is nonlinear.
Answer:
Step-by-step explanation:
Time it takes to burn entire cancle 10 hrs.
the heights from 0 hrs to 4 hrs is at first 10 inches tall but then its 6 inches tall when it hits the 4 hr mark.
it burns one inch every hr
the origional height is 10 inches
Answer:
0.03
Step-by-step explanation:
0.03>0.0033 (There are more zeroes in 0.0033)
Answer:
40$
Step-by-step explanation:
(10 gallon of gas* 24$ )/ (6 gallon of gas)
the answer is 40$