MATH 1190 A Survey Of Calculus 1with
Algebra 2025 Question And Correct
Solutions Accurately A+ 100%
If y=f(X) is continuous, f''(c)>0 and f'(c)=0, what must be true at y=f(c)
y=f(c) must be relative minimum. Note, this is also called local minimum
What are Reimann sums used for? assume y=f(x) is a continuous , positive function.
To approximate the area under the curve
Explain what this equation means.
This says that if we add up an infinite number of rectangles, we get an exact answer to the area under
the curve. We use the ∫symbol to represent the area under a curve.
What is the primary interpretation of the definite integral
Area under the curve(so long as the function/curve is positive)
What is the Fundamental Theorem of Calculus about?
The FTC gives a relationship between antiderivatives and the area question. That is, the ideas of rates of
change(i.e. derivatives) are intimately linked to the area question.
