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:
21, 23, 25
Step-by-step explanation:
Ok, so this one may seem a little tricky, so I'll try to explain it as best as I can. :)
So because they are consecutive odd numbers, that means they are odd numbers that are one after the other. This means each number is 2 apart from the next. So by using this, we know that there is a difference of 6 between the highest and lowest number. Now let's try and make an equation:
3o + 6 = 69
Now in order to get O by itself we have to subtract 6 from both sides:
3o = 63
Now we just have to divide by three on both sides:
o = 21
So now, we know that the lowest number is 21, but we have to add 2 to get 23, and then another 2 to get 25.
Hope this helps :)
Answer:
18 2/3 miles. 4 x 2/3 =8/3 x 7 = 56/3 ÷3 = 18 2/3 miles.
