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WEEKLY MATH PROBLEM
Here we will post a weekly math problem. The answers will be posted the next week along with a new math problem. We will post the answer to last week's question and the next week's question at 12pm Eastern on Saturdays. Submit your answer using the contact form and you will get a shoutout!
Week #47, 2023
Question:
What is an integral and how do you find the integral of a function?
Answer:
Answer coming soon!
Week #46, 2023
Question:
At what point does the function F(x) = 4x^4 + 5x^3 change from concave up to concave down?
Answer:
Here we can do what we described in last weeks problem. First, we have to find the second derivative:
F''(x) = 48x^2 + 30x
Now we have to find the critical values:
F''(x) = 6x(8x+5) = 0
x = 0, -5/8
Now we can test points in between the lines to find that the graph changes from positive to negative at -5/8.
Week #45, 2023
Question:
At what point does a function change from concave up to concave down?
(This is a conceptual question that doesn’t require calculations)
Answer:
This question is actually quite simple. While you can attempt to locate a point of inflection visually with a graph, it may not always be accurate. When a function changes from concave up to concave down, the function’s second derivative must intersect zero and change from positive to negative.
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Duo Pisceses, Inc. is a mobile app development company located in the beautiful Finger Lake region in Update New York. We are dedicated to developing mobile apps in the education, lifestyle, utility and health categories.
The "iMathGenius" apps are popular among students who want to improve their mental math. It is designed for users from elementary, middle, high school and up to adults. By using these apps frequently, you will definitely improve your math ability and become a potential math genius!
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