How can I create an independent and dependent probability word problem that is about gumball? (also, the answer has to be writte
1 answer:
You might be interested in
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:
AnswerThe equation of the tangent line to f(x) and x = 3 is:
See the attached picture for 2 options for question 1 and 2 depending on how the fractions are written.
Question #3:
17 = -13 - 8x
Add 13 to each side:
30 = -8x
Divide both sides by -8:
X = 30 / -8
X = -3 3/4
