Example Math Expression How to Enter the Answer 2 2 uilw -3/5 OO infinity 28 + 1 2^8+1 2+ es 2+exp (5) 5 TL 9 5 * pi / 9 3 In 2 4/7-3*In (2) V2 sqrt (2) 5^ (1/3 ) V5 - e 3 + 2 In(7n) sqrt (5-exp (-3) +2*In (7*pi) ) 5! fac (5)Answer Format Unless otherwise noted, enter answers as: - Whole Numbers -Exact Fractions (e.g., 2/3 or -5/4) or (only when necessary): - Decimals correct to six decimal places The use of decimal numbers is discouraged because decimal numbers are subject to rounding errors, which could cost you marks! Epics: Sections 2.8, 3.1-3.4, and 4.8 in the textbook. Prblem #1: The graph offis given to the right. Which of the below graphs is a graph of its derivative f '7 (A) (B) \fPrOblem #2: The graph of g is given to the right. Which of the below graphs is a graph of its derivative g'? h (A) (B) y y (C) (D) i (E) (F) lll ' (G) (H) Problem #2: Se ect v Just Save Submit Problem #2 for Grading Problem #2 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: PrODIem # 3: Find the values of a and b so that the parabola y = ax2 + bx has a tangent line at (1, -3) with equationy = 2x - 5. Problem #3: 3 enter your answer in the form a,b ' Just Save ' ' Submit Problem #3 for Grading Problem #3 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #4: Law): 7g(x) . 5+f(X) Suppose that f(2) = -4,f'(2) = 4, g(2) = 2, and g'(2) = 2. Find h'(2). ' Just Save ' ' Submit Problem #4 for Grading Your Answer: Your Mark: Problem #5: (a) Suppose that the tangent line to the curve y = f (x) at the point (3, 3) has equation y = 3 + 2x. If Newton's method is used to locate a root of the equation f (x) = 0 and the initial approximation is x1 = 3, nd the second approximation x2. (b) Suppose that Newton's method is used to locate a root of the equation f (x) = 0 with initial approximation x1 = 9. If the second approximation is found to be x2 = *8, and the tangent line to f (x) at x = 9 passes through the point (12, 3), ndf(9). (c) Use Newton's method with initial approximation x1 = - 3 to nd x2, the second approximation to the root of the equation x3 = 3x - 4. Submlt Problem #5 for Gradlng Problem #5 Attempt Attempt Attemrm Your Answer: 5(a) 5(a) 5(a) 5(b) 5(b) 5(b) 5(C) 5(C) 5(6) Your Mark: 5(a) 5(a) 5(a) 5(b) 5(b) 5(b) 5(c) 5(c) 5(C) Problem #5: Let F(x) =f(xf(x2)). Suppose that f(4) = 5, f'(4) = 4, and f'(10) = 1. Find F'(2). Pmb'em W I:| (a) Let u(x) = f (x)g(x). Find u'(-3). (b) Let v(x) = f (f (x)) . Find v'(4). Just Save ' Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Attempt #3 Your Answer: 7(a) 7(a) 7(a) 7(b) 7(b) 7(b) Your Mark: 7(a) 7(3) 7(a) 7(b) 7(b) 7(b) Pr0blem #8: Find an equation of the tangent line to the curve y = tan2(x) at the point (71/6, 1/3). Put your answer in the form y = mx + b, and then enter the values of m and b in the answer box below (separated with a comma). ' as In these exampl enter your answer in the form m,b
