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:
24sq.ft
Step-by-step explanation:
<h3>
Area of a parallelogram = Base*Height</h3>
Here,
→Base = 6ft, Height = 4ft
→ 6*4ft
→24sq.ft
<h3 /><h3>
While writing area of a figure, we have to express the area in sq which means square</h3>
<h2>
<em>ThankYou</em></h2>
<em>Please mark me as brainliest</em>
I’m so sorry! I hope you find the answer soon! I’m stressing out as well
The types of items that cost less than $3.75 per item are Paperbacks and notebooks.
<h3>How do we determine the price of a unit item in a word problem?</h3>
The price of a unit item can be determined by dividing the total price by the number of units sold.
Given that:
Paperbacks sold 3 units for $10.65;
- 1 unit will be sold for = $10.65/3 = $3.55
Notebooks sold 4 units for $14.36;
- 1 unit will be sold for = $14.36/4 = $3.59
Puzzles sold 3 units for $11.85;
- 1 unit will be sold for = $11.85/3 = $3.95
Picture frame sold 4 units for $15.20;
- 1 unit will be sold for = $15.20/4 = $3.80
Therefore, from the above calculations, we can conclude that the types of items that cost less than $3.75 per item are Paperbacks and notebooks.
Learn more about calculating the unit price of an item here:
brainly.com/question/5028370
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Answer: Multiply both sides by 2.
Step-by-step explanation:
g divided by 2 is equal to 4 .
We could represent that with the equation :
To solve for g in this case multiply both sides by 2.
2 cancels out on the left side so we will be left with g. On the right side will be left with 8 after multiplying.
g = 8
