<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:
395149.22 cubic inches.
Step-by-step explanation:
The volume of a tank with length (L), width (W) and height (H) is given by
V = LWH ........ (1)
Now, the interior dimensions of a tank are 82.5 inches long, 58.5 inches wide, and 81.875 inches tall.
So, L = 82.5 inches, W = 58.5 inches and H = 81.875 inches.
Therefore, V = (82.5 × 58.5 × 81.875) = 395149.22 cubic inches.
Hence, the approximate volume of the tank is 395149.22 cubic inches. (Answer)
Answer:
6 minutes
Step-by-step explanation:
1 minute times six
Answer:
16.35Rs would be paid by everyone.
Step-by-step explanation:
98.10/6
=16.35Rs would be paid by everyone.
Hope it will help you :)
Answer: the value of 7x-y is -14.
Step-by-step explanation:
When x=2 and y=4,
To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.
7x - y = 7(2 - 4)
14 - 28
= -14.
