9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
Step-by-step explanation:
Geometry is one of the oldest branches of math. Geometry is mostly about distance, shape, size, and relative position of figures. It is related to measurement, relationships of points, lines, angles, surfaces, and solids. There are 8 types of Geometry and the basic concepts of Geometry are point, line and plane. It isn't possible to exactly define the terms, however, we know it is refers to the mark of the position and has an accurate location.
Hope this helps :)
The height of the ladder on the building is 19.77 feet
<h3>How high does the ladder reach on the building?</h3>
Represent the height of the ladder on the building with h
So, the given parameters are:
Angle, x = 64 degrees
Length of ladder, l = 22 feet
The height of the ladder on the building is calculated using
sin(x) = h/l
Substitute the known values in the above equation
sin(64) = h/22
Multiply both sides by 22
h = 22 * sin(64)
Evaluate the product
h = 19.77
Hence, the height of the ladder on the building is 19.77 feet
Read more about elevation angles at
brainly.com/question/19594654
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Answer:
1/4
Step-by-step explanation:
