Absolute extrema - Study guides, Class notes & Summaries

Test_bank_Cal 2023 Update Lecturer: Approved by: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . UNIVERSITY OF TECHNOLOGY VNUHCM FACULTY OF AS FINAL EXAM Semester/ Academic year Date 26 December 2022 Course title Calculus 1 Course ID MT1003 Duration 100 mins Question sheet code 1234 Intructions to students: -...

linear graph quadratic graph y=x^2 exponential graph square root/radical graph rational graph f(x)= 1/x absolute value graph continuity steps 1. plug x into f(x) and find answer 2. take limit as x--># and see if it is equal to (1) 3. if they are equal, then they are continuous chain rule f'(x)=f'(g(x)) x g'(x) d/dx (sin(x))= =cos(x) d/dx (cos(x))= =-sin(x) d/dx (tan(x))= =sec^2(x) d/dx (sec(x))= =sec(x)tan...

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...

Read the following three statements A, B and C. Based on the statements A, B and C, given above, which one of the following is correct? - ANSWER-C. If f'(x) > 0 in (a,b) and f"(x) < 0 in (a,b), then the graph of f(x) is decreasing AND concave down in (a,b). C. The Statements A and B are true Find dy/dx by implicit differentiation of x^3 - xy + y^2 = 4 and evaluate dy/dx at (0,-2) - ANSWER-C. dy/dx = y-3x^2/ 2y-x; dy/dx at (0,-2) = 1/2 The radius r of a circle is increasing ...

Lecturer: Approved by: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . UNIVERSITYOFTECHNOLOGY VNUHCM FACULTYOFAS FINALEXAM Semester/Academicyear Date 26 December 2022 Course title Calculus 1 Course ID MT1003 Duration 100 mins Question sheet code 1234 Intructions to students:- There are 14...

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...