HOW DO YOU SEE IT? The figure shows die graph of g' . (a) g ' ( 0 ) = (b) g ' ( 3 ) = (c) What can you conclude about the graph of g knowing that g ' ( 1 ) = − 8 3 ? (d) What can you conclude about the graph of g knowing that g ' ( − 4 ) = 7 3 ? (e) Is g ( 6 ) − g ( 4 ) positive or negative? Explain. (f) Is it possible to find g (2) from die graph? Explain.
HOW DO YOU SEE IT? The figure shows die graph of g' . (a) g ' ( 0 ) = (b) g ' ( 3 ) = (c) What can you conclude about the graph of g knowing that g ' ( 1 ) = − 8 3 ? (d) What can you conclude about the graph of g knowing that g ' ( − 4 ) = 7 3 ? (e) Is g ( 6 ) − g ( 4 ) positive or negative? Explain. (f) Is it possible to find g (2) from die graph? Explain.
The graph of a function crosses the y-axis at the point y = 2 and the x-intercept of the tangent line drawn at any point of the graph is 1 more than the x-coordinate of the point of tangency. What is the function? Is such function unique? Provide all the details of your solution.
Evaluate the definite intergal. Use a graphing utility to verify your result.
Tangent line of a graph of f(x)=x(b^x)at x=1 is equal to the tangent line for the graph of g(x)=-4-sin(1-e5x) at x=0.
a)what is the value of the positive constant b, and what is the equation of the tangent line?
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY