Answer and Explanation:
A function is said to be increasing, if the derivative of function is f’(x) > 0 on each point. A function is said to be decreasing if f”(x) < 0.
Let y = v (z) be differentiable on the interval (a, b). If two points z1 and z2 belongs to the interval (a, b) such that z1 < z2, then v (z1) ≤ v (z2), the function is increasing in this interval.
Similarly, the function y = v(z) is said to be decreasing, when it is differentiable on the interval (a , b).
Two points z1 and z2 Є (a, b) such that z1 > z2, then v (z1) ≥ v(z2). The function is decreasing on this interval.
The function y = v (z)
The derivative of function Y’ = v’(z) is positive, then the function is increasing.
The function y = v (z)
The derivative of function y’ is negative, then the function is decreasing.
The midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
<h3>How to determine the midpoint of the line segment joining the points?</h3>
The points are given as:
S(8,3) and T(2,-1)
The midpoint of the line segment joining points S(8,3) and T(2,-1) is calculated as:
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5 * (8 + 2, 3 - 1)
Evaluate the sum
Midpoint = 0.5 * (10, 2)
Evaluate the product
Midpoint = (5, 1)
Hence, the midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
Read more about midpoint at:
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Answer: The value of cosine is 
and the value of cotangent is -1.
Explanation:
The given point is 
.
Since the x coordinate is negative and y coordinate is positive so the point must be lies in second quadrant.
The distance of the point from the origin is,
The given point is in the form of (a,b). So we get,
The formula for cosine,
The formula for cotangent,
Therefore, the value of cosine is and the value of cotangent is -1.
A rate is a ratio where time is usually involved such as 60 km/ 1 hour.
So, the answer is true.
