Consider the function f(x) = 2-e on [-1,1], and a point a € [-1,1]. Consider the triangle formed by the tangent line to f at a, and the lines z = 0 and y= 0. Find the points a such that the triangle has an area of exactly 4/e. If necessary, approximate the value a to 3 places after the decimal.
Consider the function f(x) = 2-e on [-1,1], and a point a € [-1,1]. Consider the triangle formed by the tangent line to f at a, and the lines z = 0 and y= 0. Find the points a such that the triangle has an area of exactly 4/e. If necessary, approximate the value a to 3 places after the decimal.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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![Question 1. Differentiation
1. Consider the function f(x)= 2-e on [-1,1], and a point a € [-1,1]. Consider the triangle formed by the
tangent line to f at a, and the lines z= 0 and y=0. Find the points a such that the triangle has an area of
exactly 4/e. If necessary, approximate the value a to 3 places after the decimal.
2. Suppose that the tangent line to the graph of f(x) = (6) at r= 1 is equal to the tangent line to the graph
of g(x) = 2ln(e2+e-2²)-2 ln(2)-1 at z=0. What is the value of the positive constant b, and what is the
equation of the tangent line?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1e0160f-3c30-4d27-95cf-afb7f00ec41f%2Feaf98099-abd2-4699-a91b-0895c0d6ed9d%2Fstkzqys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1. Differentiation
1. Consider the function f(x)= 2-e on [-1,1], and a point a € [-1,1]. Consider the triangle formed by the
tangent line to f at a, and the lines z= 0 and y=0. Find the points a such that the triangle has an area of
exactly 4/e. If necessary, approximate the value a to 3 places after the decimal.
2. Suppose that the tangent line to the graph of f(x) = (6) at r= 1 is equal to the tangent line to the graph
of g(x) = 2ln(e2+e-2²)-2 ln(2)-1 at z=0. What is the value of the positive constant b, and what is the
equation of the tangent line?
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