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:
Answer:
102
Step-by-step explanation:
Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.
<h3>What is decimal?</h3>
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.
Here,
Repeating decimal representation,
=3/13, 7/24
Terminating decimal representation,
=3/16, 4/125
3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.
To know more about decimal,
brainly.com/question/25903211
#SPJ1
Answer:
x + 1
Step-by-step explanation:
3x - (2x + 4) + 5
3x - 2x - 4 + 5
x - 4 + 5
x + 1
