Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,
• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
Answer
The equation of the tangent line to f(x) and x = 3 is:
Hi! Basically, the problem is asking us to find the values of a, b, and c in the equation
. Since we have three unknowns, we just need three equations. We can find these equations by using the data in the table.
First let's plug x = 0 and f(x) = 0.
Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)
Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.
Next, we subtract equation 2 from equation 1.
Finally, we substitute the value of a to equation 2 to get the value of b.
Therefore, the function should be
Answer:
26.8°
Step-by-step explanation:
4x - 20 + 6x - 7 = 90
10x -27 =90
10x = 90+27
10x= 117
x = 11.7
so, the angle R = 4x-20 =4(11.7)-20
= 46.8-20 = 26.8°
The scale factor would be 3.5
Answer:
13.1mi
Step-by-step explanation:
Length(l) = 4.1mi
Breadth(b) = 2.5 mi
Perimeter of a rectangle = addition of all sides that is = l + l + b + b as a rectangle has 2 opposite equal length and also breadth.
Therefore perimeter = 4.1 + 4.1 + 2.5 + 2.5
= 8.1 + 5
=13.1 mi
I hope this was helpful, Please mark as brainliest
