Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of 
is
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:
Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
Answer:
(-7,-15)
Step-by-step explanation:
We can substitute first y in the second y. Both equations are also functions. We can merge the equations.
Substitute x = -7 in any given equations. I will choose the second equation to substitute in.
<u>Answer</u><u> </u><u>Check</u>
Substitute both x and y in both equations.
The equation is true for (-7,-15).
The second equation is true for (-7,-15).
Therefore our answer is (-7,-15)
Answer:
2.2 hr
Step-by-step explanation:
Let t = time
95t = distance of westbound train
105t = distance of eastbound train
95t + 105t = 440
200t = 440
t = 2.2 hr.
Answer:
7.5
Step-by-step explanation:
you take the largest number (9.8) and subtract with the smallest number (2.3)
<h2>9.8-2.3= 7.5</h2>
