Show why the function f(x) = 3rad x is not differentiable at x=0
1 answer:
When x = 0, f'(0) becomes undefined. Thus, we know that there is no derivative at x = 0. You could also show it by taking the limits, which is the fundamental of calculus. Show that as x approaches 0 from the negative side is not equal to the value as x approaches 0 from the positive side.
What this tells us is that there is no uniquely distinct point that satisfies the continuity of the curve in order for the graph to have a specific gradient at x = 0; thus, this means there is no gradient at x = 0, and hence, the function is not differentiable at x = 0
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Answer:
The correct number of servings = 6.
By saying there were servings of soup, Hector must have intended to say that there were
quarts of soup for serving.
Step-by-step explanation:
Given:
Total quarts of soup made by students =
Fraction of the soup served to friends =
Each serving = quarts
Hector incorrectly says that that there were servings of soup.
To find the correct number of servings and to identify Hector's mistake.
Solution:
Total quarts of soup made =
Fraction of total quarts served =
Thus, total quarts of soup served =
⇒
Thus, total quarts of soup for serving = or
Each serving = quarts
Total number of servings can be given as:
⇒
⇒
To divide fractions, we take reciprocal of the divisor and replace divsion with multiplication.
⇒
⇒
⇒ 6 servings
Thus, the correct number of servings = 6.
By saying there were servings of soup, Hector must have intended to say that there were
quarts of soup for serving.
First compute the area of the rectangle:
We have to find the radius of the circle:
circonférence of circle given radius is:
We get the equation:
Solving the above equation for r we get:
Compute the area of the circle like this:
The white area is the difference of the area of the rectangle and the area of the circle:
We have to find the radius of the circle:
circonférence of circle given radius is:
We get the equation:
Solving the above equation for r we get:
Compute the area of the circle like this:
The white area is the difference of the area of the rectangle and the area of the circle: