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2.1 2.2 g (x) 64 41 20 dy. =g' (x) with initial condition メ Let y = g (x) be the particular solution to the differential equation 9 (2) = 7. Selected values of g are given in the table above. The function 9 is three-times differentiable. %3D (a) Write an equation for the line tangent to the graph of 9 at a = 2. (b) Let h be the function defined by h (2) = 3x g (x). Find h' (2). (c) Use a right Riemann sum with the two subintervals indicated by the data in the table to approximate 2.2 g (1) dx Show the computations that lead to your answer. (d) It is known that g (z) < 0 for 2

2.1 2.2 g (x) 64 41 20 dy. =g' (x) with initial condition メ Let y = g (x) be the particular solution to the differential equation 9 (2) = 7. Selected values of g are given in the table above. The function 9 is three-times differentiable. %3D (a) Write an equation for the line tangent to the graph of 9 at a = 2. (b) Let h be the function defined by h (2) = 3x g (x). Find h' (2). (c) Use a right Riemann sum with the two subintervals indicated by the data in the table to approximate 2.2 g (1) dx Show the computations that lead to your answer. (d) It is known that g (z) < 0 for 2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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This is the complete problem it is high school level so shouldn't be a problem for your tutors. This is a clear image, please help with D,E and F

2.1 2.2 g (x) 64 41 20 dy. =g' (x) with initial condition メ Let y = g (x) be the particular solution to the differential equation 9 (2) = 7. Selected values of g are given in the table above. The function 9 is three-times differentiable. %3D (a) Write an equation for the line tangent to the graph of 9 at a = 2. (b) Let h be the function defined by h (2) = 3x g (x). Find h' (2). (c) Use a right Riemann sum with the two subintervals indicated by the data in the table to approximate 2.2 g (1) dx Show the computations that lead to your answer. (d) It is known that g (z) < 0 for 2 <I < 2.2. Is the approximation from part (c) an overestimate or 2.2 an underestimate for g (x)dx ? Give a reason for your answer. 2.2 (e) Use the approximation for I g (x) dx from part (c) to estimate the value of g (2.2). Show the computations that lead to your answer. (f) Use Euler's method, starting at x = 2 with two steps of equal size, to approximate g (2.2). Show the computations that lead to your answer.
Transcribed Image Text:2.1 2.2 g (x) 64 41 20 dy. =g' (x) with initial condition メ Let y = g (x) be the particular solution to the differential equation 9 (2) = 7. Selected values of g are given in the table above. The function 9 is three-times differentiable. %3D (a) Write an equation for the line tangent to the graph of 9 at a = 2. (b) Let h be the function defined by h (2) = 3x g (x). Find h' (2). (c) Use a right Riemann sum with the two subintervals indicated by the data in the table to approximate 2.2 g (1) dx Show the computations that lead to your answer. (d) It is known that g (z) < 0 for 2 <I < 2.2. Is the approximation from part (c) an overestimate or 2.2 an underestimate for g (x)dx ? Give a reason for your answer. 2.2 (e) Use the approximation for I g (x) dx from part (c) to estimate the value of g (2.2). Show the computations that lead to your answer. (f) Use Euler's method, starting at x = 2 with two steps of equal size, to approximate g (2.2). Show the computations that lead to your answer.
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