Extrema on an interval - Study guides, Class notes & Summaries
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Calculus Final Exam Questions with Correct Answers
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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...
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CALCULUS FINAL EXAM QUESTIONS WITH VERIFIED ANSWERS
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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...
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Calculus 1 Exam 3 Prep Questions and Answers
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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...
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CALCULUS FINAL EXAM QUESTIONS WITH VERIFIED ANSWERS
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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...
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Calculus exam 3 Questions with Verified Answers
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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...
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CALCULUS FINAL EXAM fully solved & updated
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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...
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Brief Calculus An Applied Approach, 9e Larson TestBank
- Exam (elaborations) • 466 pages • 2022
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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...
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Unit 5 MCQ AP Calc AB 2023 with 100% correct questions and answers
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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...
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Extrema on an Interval
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Notes taken on a lecture about extrema. The notes define what absolute min/maxes are and shows how to solve them.
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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)
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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 ...
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