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MATH 1310 Final Exam Calculus 1 Real Exam 13 Questions 100% Tackled A+ Score 2025-2025.
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area of a rectangle
lw
perimeter of a rectangle
2(l+w)
area of a circle
pi(r)²
circumference of a circle
2pi(r)
area of a triangle
(1/2)bh
perimeter of a triangle
a+b+c
formal definition of a limit
0<|x-a|<δ then |f(x)-L|<ε
continuity at a point
a function is continuous at a provided that the lim of f(x) as x approaches a is equal to f(a)
Intermediate value theorem
a continuous function on the closed interval from [a,b], there exists a number c in (a,b) such that f(c)=N (if f(a) is not equal to f(b))
definition of a derivative
f'(a)=lim (h->0) f(a+t)-f(a)/h
critical number
the number c is critical for the function f provided that either (1) f'(c)=0 or (2) f'(c)=DNE while f(c) does exist
Extreme Value Theorem