<h3>
Answer: y = x+1</h3>
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Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
Answer:
Option A
Step-by-step explanation:
Y is the amount of back pack
The total amount is represented by m
If Y is the cost of back pack purchased by Oliver, then 0.7 Y is the tax applicable on the purchase of back pack
Hence, the remaining cost would be total amount with Oliver minus the cost of back pack and the tax applicable on the purchase of back pack
Remaining cost = m - (y + 0.07y)
Hence, option A is correct
Answer:
99.96
Step-by-step explanation:
Your height is correct.
Part B is asking for the length of the hypotenuse.
76.6^2 + 64.25^2 = x^2
x^2 = 9995.6225
x = 99.96 or 99.98 depending on if you round to 76.6 or not
Answer: The correct answer is 18ft
Step-by-step explanation:
The output is the cute of the input is written as y = x³.
