Extrema on an interval - Study guides, Class notes & Summaries

Vertical Asymptote - ANSWER-Set Denominator equal to zero Horizontal asymptote - ANSWER-set numerator equal to zero Rolles theorem states there is... - ANSWER-a tangent line at some point on a closed interval [a,b] if the following hold true a) continuous b) differentiable c) f(a)=f(b) Integration is a... - ANSWER-continuous addition process Intermediate Value Theorem: Suppose f is a function continuous at every point on the interval [a,b]: - ANSWER-a) f will take on every value b...

evaluate the integral 2/1, ln(x)/x dx - ANSWER-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - ANSWER-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - ANSWER-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

evaluate the integral 2/1, ln(x)/x dx - ANSWER-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - ANSWER-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - ANSWER-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

Points of Inflection - ANSWER-If (c, f(c)) is a point of inflection of the graph of f, then either f"(c)=0 or f" is undefined at c Critical Value - ANSWER-Where first derivative is 0 or undefined Find absolute extrema - ANSWER-Use critical values and END POINTS in the function Horizontal Asymptote Rules - ANSWER-If m>n: NO HA If m=n: HA = co-eff of m/co-eff of n If m<n: HA: y = 0 Mean Value Theorem - ANSWER-if f(x) is continuous on [a,b] and differentiable on (a,b), there i...

volume equation - ANSWER-v=4/3 r^3 related rate problems - ANSWER-treat all variables as functions of time, use implicit differentiation to produce equalities which can be solved for the desired rates linear approximation equation - ANSWER-f'(a)(x-a)+f(a) linear approximation - ANSWER-approximating functions using the equation of a line, also known as tangent line approxiamtion equation for dy - ANSWER-f'(x)dx or f'(x)delta x dy - ANSWER-differential, dependent on both the valu...

evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

Brief Calculus An Applied Approach, 9e Larson TestBank Brief Calculus An Applied Approach, 9e Larson TBChapter 1: Functions, Graphs, and Limits Larson, Calculus: An Applied Approach (+Brief), 9e Page 1 1. Plot the points (–4,2),(3, –3),(–5, –2),(4,0),(3, –4) in the Cartesian plane. A) B) C)Larson, Calculus: An Applied Approach, 9e Page 2 D) E)Larson, Calculus: An Applied Approach, 9e Page 3 Ans: C 2. Find the distance between the points (3,4) and (7,7) . Round your answer t...

Let f be the function given by f(x)=5cos2(x2)+ln(x+1)−3. The derivative of f is given by f′(x)=−5cos(x2)sin(x2)+1x+1. What value of c satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] ? 2.749 because f′(2.749)=f(4)−f(1)/3 The derivative of the function f is given by f′(x)=x2−2−3xcosx. On which of the following intervals in [−4,3] is f decreasing? [−3.444, −1.806] and [−0.660, 1.509] The temperature inside a vehicle is mo...

Notes taken on a lecture about extrema. The notes define what absolute min/maxes are and shows how to solve them.

Exam (elaborations) TEST BANK FOR A First Course in Differential Equations with Modeling Applications 9th, Differential Equations with Boundary-Value Problems 7th By Dennis G. Zill (Complete Solution Manual) Complete Solutions Manual A First Course in Differential Equations with Modeling Applications Ninth Edition Dennis G. Zill Loyola Marymount University Differential Equations with Boundary-Vary Problems Seventh Edition Dennis G. Zill Loyola Marymount University Michael R. Cullen ...