MATH 124 Final: MATH 124 Final Exam Fall 2018 Solutions

5 views1 pages

turquoisegnu128

31 Jan 2019

School

Department

Mathematics

Course

MATH 124

Professor

For unlimited access to Study Guides, a Grade+ subscription is required.

hwpark22 and 40164 others unlocked

$MATH 124 Full Course Notes$

MATH 124 Full Course Notes

Verified Note

27 documents

Document Summary

Page 1 of 1: (a) g (x) = sec2(x) (cid:0)1 + x4(cid:1) tan(x) 4x3 (1 + x4)2 (b) f (t) = 2 sin(cid:0)cos(cid:0)1 + 4t(cid:1)(cid:1) cos(cid:0)cos(cid:0)1 + 4t(cid:1)(cid:1) (cid:0) sin(cid:0)1 + 4t(cid:1)(cid:1) 4t (c) (i) y =(cid:20)3 ln(cid:0)1 + e2x(cid:1) + 18: (a) lim (b) 1. 2 h h 0p(2 + h)3 + 17 5. Concave down on the interval (2, 6). (e) local (and global) minimum at (0, 0). In ection points at about (2, 2. 2) and (6, 3. 2): r = 5 and h = 3 feet, (a)

Related Questions

Q1)

---------------------------------------------------------------------------------

Q2)

---------------------------------------------------------------------------------

Q3)

---------------------------------------------------------------------------------

Q4)

---------------------------------------------------------------------------------

Q5)

---------------------------------------------------------------------------------

Q6)

---------------------------------------------------------------------------------

Q7)

If U and V are positive constants, find all critical points of the function. (Enter your answers as a comma-separated list.) F(t) = Ue t + Ve -t t = Find all critical points of f(x) = 20 x 2 e - 0.3x and classify them as local minima of ,maxima. x = (smaller value) This critical point is a . x = (larger value) This critical point is a . Consider f(x) = x 8 (7 - x) 9. Find f '(x) and simplify your answer. f '(x) = Find all critical points of f(x) and then use the first derivation test to determine local maxima and minima. f(x) has a at x = (smallest value) Local Maximum OR Minimum OR Neither f(x) has a at x = Local Maximum OR Minimum OR Neither f(x) has a at x = (largest value) Local Maximum OR Minimum OR Neither Find the inflection points of f(t) = t 4 + t 3 - 18t 2 +8. Give exact answer. t = (smallest value) t = (largest value) Sketch a possible of y = f(x), using the given information about derivation y' = f'(x) and y" = f"(x). Assume that the function is defined and continuous for all real x. Let f be a function f(x) > 0 for all x. Let g = 1/f. If f is increasing in an interval around x 0, what about g? g is increasing in an interval x 0. g is zero in an interval around x 0. g is decreasing in an interval around x 0. We cannot tell whether g is increasing or decreasing in an interval around x 0. g is constant in an interval around x 0. If f has a local maximum at x 1, what about g? g has a local maximum at x 1. g has both a local minimum and a local maximum at x 1. We cannot tell whether g has a local minimum or a local maximum at x 1. g has an inflection point at x 1. g has a local minimum at x 1. If f is a concave down at x 2, what about g? g is increasing at x 2. g is flat at x 2. We cannot tell whether g is concave up of concave down at x 2. g is concave down at x 2. g is concave up at x 2. You are given the graph of the second derivation function f" below. Which of the given have x-values that are inflection points of the function f? (Select all the apply.) A B C D E F G H I none of the above

Problem 4 Circle your answer. a) (6 points) If f(x) = 2x + 3x2 - 361 + 5, then the tangent line to the graph y= f(x) is horizontal when i) 1 = -2,3 ii) I = 2,-3 iii) r = 0 iv) not listed b) [6 points] Suppose Given h(x) = f(g(T)), where g(2) = 3, g'(2) = 7, f'(2) = -1 and 1'(3) = -2. Then h'(2) is equal to i) - 1 ii) -2 iii) - 14 iv) not listed (x+3)(1 - 1)3 c) (6 points) The function f(1) == (x2 - 2x + 1)(x + 3) wa has vertical asymptotes at i) x = -3,0 ii) = -3,0,1 iii) x = 0,1 iv) not listed d) (6 points] The solution to the initial value problem v'(x) = 473 – cos(x) +e", y(0) = 3 is i) y(x) = x + sin(x) + e* + 2 ii) y(I) = x4 – sin(x) +et+2 iii) y(x) = 2* – sin(1) + et + 3 iv) not listed

MATH 124 Final: MATH 124 Final Exam Fall 2018 Solutions

MATH 124 Full Course Notes

Document Summary

Get access

Related textbook solutions

Calculus

Single Variable Calculus: Early Transcendentals

CALCULUS:EARLY TRANSCENDENTALS

Related Documents

MATH 124 Final: MATH 124 Final Exam Spring 2018 Solutions

MATH 124 Final: MATH 124 Final Exam Fall 2017 Solutions

MATH 124 Final: MATH 124 Final Exam Fall 2015 Solutions

Related Questions