Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter E, Problem 11PS
To determine
Draw a graph of the given trigonometric function.
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- For what value of the constant k is the line x+y=k normal to the curve y=x^3arrow_forward1. For the letters A-J, please refer to the graph. Assume that the data is modeled by an equation of the form y=k+Asin(B(x−h))or y=k+Acos(B(x−h)). Using the data and your graph from part one, estimate the following variables and explain your answers for each part. (A)-Calculate the amplitude as an average of 3 different values. (B)-Estimate the period and determine B. (C)-Estimate k as an average. (D)- Estimate h. (E)-Write a model for the data in the form of either y=k+Asin(B(x−h)) or y=k+Acos(B(x−h)). (F)-Plot your model from number 4 with the year listed along the horizontal axis and the sunspot number along the vertical axis. How does this compare to the graph of the actual data? (G)-According to your model, what is the length of the sunspot cycle in years? Explain? (H)-Use your model to predict the sunspot number for 2001. How does your prediction compare with the actual value of 111.arrow_forwardIf the parent function, y = sin x, had a frequency and amplitude of 3 and is shifted up 2 units, what is the equation of the new graph? A. y = -sin(3x) + 2 B. y = 3sin (3x) + 2 C. y = -sin (3x) – 2 D. y = sin (-3x) – 2 E. y =2sin (3x) + 3arrow_forward
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