Calculus 1 Final Exam Study Guide Questions with Correct Grade A+ Solutions

Calculus 1 Final Exam Study Guide Questions with Correct Grade A+ Solutions The (Limit) Definition of the Derivative F'(X) - Correct Answers: Mean Value Theorem - Correct Answers: Suppose y=f(x) is continuous over a closed interval [a,b] and differentiable on the interior (a,b) then there is at least 1 point "c" such that The Definition of Continuity at x=a - Correct Answers: First Fundamental Theorem of Calculus - Correct Answers: Second Fundamental Theorem of Calculus - Correct Answers: The Extreme Value Theorem - Correct Answers: If f is a continuous function on a closed interval [a,b], then f attains an absolute max M and absolute min m on the interval [a,b] that is there exists x1, x2 in [a,b] such that f(x1)=M and f(x2)=m. Average Rate of Change - Correct Answers: Average Velocity - Correct Answers: Instantaneous Rate of Change - Correct Answers: Average Value of a Function - Correct Answers: Tangent Lines - Correct Answers: Linearization of a Function at a point - Correct Answers: Tangent line- if f is differentiable at x=a; L(x)=f(a)+f'(x-a) Surface Area of Sphere - Correct Answers: Volume of Sphere - Correct Answers: Surface Area of Cylinder - Correct Answers: Volume of Cylinder - Correct Answers: Surface Area of Cube - Correct Answers: Volume of Cube - Correct Answers: Area of Circle - Correct Answers: Perimeter of Circle - Correct Answers: Area of Triangle - Correct Answers: Perimeter of Triangle - Correct Answers: Area of Rectangle - Correct Answers: Perimeter of Rectangle - Correct Answers: Area of Sector - Correct Answers: Perimeter of Sector - Correct Answers: Distance Formula - Correct Answers: Pythagorean Theorem - Correct Answers: Properties of Logarithmic Functions - Correct Answers: (See Cheat Sheet) Properties of Exponential Functions - Correct Answers: (See Cheat Sheet) Trigonometric Identities - Correct Answers: (See Cheat Sheet) Limits - Correct Answers: (See Cheat Sheet) Properties of Similar Triangles - Correct Answers: Derivatives - Correct Answers: (See Cheat Sheet) Applications of Derivatives - Correct Answers: (See Cheat Sheet) Integration - Correct Answers: (See Cheat Sheet) Rolle's Theorem - Correct Answers: Suppose y=f(x) is a continuous function on [a,b] and differentiable on the interior (a,b), then there is a tleast one number in (a,b) such that f'(c)=0. Intermediate Value Theorem - Correct Answers: If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k