Definition of a Limit and Slope of Tangent Line, Midpoint Rule and Trapezoidal Rule, Average and Instantaneous Rate of Change on an Interval

Related BrainMass Solutions

• Rate of change

  the average rate of change of the function with respect to x in the interval from to .

• Integrating using the Midpoint Rule; Eliminating Parameters and Slope of Tangent at Y-axis Crossings

  Integrating using the Midpoint Rule; Eliminating Parameters and Slope of Tangent at Y-axis Crossings are investigated.

• equation of the tangent line to the graph

  A=_________, B=__________ b) By considering the average velocity on the shrinking time interval between 8 and t as t approaches 8, determine the instantaneous velocity of the object at time 8.

• Business Calculus : Rate of Change, Slope of Tangent and Limit Concept (12 Problems)

  32602 Business Calculus : Rate of Change, Slope of Tangent 1.

• General Calculus Questions : Definition of a Limit and Derivative, Product Rule, Tangent Line Approximation, Taylor Polynomial, Newton's Method, L'Hopital's Rule, MVT, IVT, Fundamental Theorem

  42639 Definition of a Limit and Derivative, Product Rule, Tangent Line 1. Give the definition of limit in three forms: ε?δ , graphical, and in your own words. 2. Define the derivative.

• Implicit differentiation, equation of the tangent line

  (a) Use implicit differentiation to find an equation of the tangent line to the ellipse .

• Sketch a possible graph of the velocity.

  Key points: The instantaneous rate of change of at (or the speed how quickly changes as the values of pass through ) is the slope of the tangent line to at , where the slope of the tangent is defined as If we let , then 5.

• Calculus for Parallel Lines of Graphs

  Find the average rate of change of the function shown below over the given interval. y=- - x, [5, 6] Solution: Average rate of change = Answer: -34 3. Find the limit, if it exists. Solution: Answer: 3/2 4.

• Approximate the Integral Using 5 Methods (Left endpoint Riemann, Right endpoint Riemann sum, Midpoint Rule, Trapezoidal Rule and Simpson's Rule)

  An integral is approximated using 5 methods (Left endpoint Riemann, Right endpoint Riemann sum, Midpoint Rule, Trapezoidal Rule and Simpson's Rule). The solution is detailed and well presented.