Styles Higher-Order Derivatives What should be the cubic equation y = Ax 2 + Bx + C, where A, B, and C are constants, so that following conditions are satisfied: •y (2) =-3, which means the value of y is -3 when x = 2; •y'(-1) = -2, which means the value of y is -2 when x = - 1; •y" (1) = 2, which means the value of y " is 2 when x 1; %3! Using the method presented above, determine the equation y = A cos x +B sin x so that y (e) = y' (n/2) = 1.

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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Higher-Order Derivatives
What should be the cubic equation y = Ax 2 + Bx + C, where A, B, and C are constants, so that the
following conditions are satisfied:
• y (2) = -3, which means the value of y is-3 when x = 2;
•y'(-1) = -2, which means the value of y is -2 when x = -
1;
• y" (1) = 2, which means the value of y " is 2 when x 1;
Using the method presented above, determine the equation y = A cos x + B sin x so that y (a) =-2 and
y' (n/2) = 1.
Transcribed Image Text:Styles Higher-Order Derivatives What should be the cubic equation y = Ax 2 + Bx + C, where A, B, and C are constants, so that the following conditions are satisfied: • y (2) = -3, which means the value of y is-3 when x = 2; •y'(-1) = -2, which means the value of y is -2 when x = - 1; • y" (1) = 2, which means the value of y " is 2 when x 1; Using the method presented above, determine the equation y = A cos x + B sin x so that y (a) =-2 and y' (n/2) = 1.
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