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 14PS
To determine
Draw a graph of the given trigonometric function.
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In right triangle ABC, C= 90°, a = 3, b = 4, and c=5. Using these information, show that the
following relations are true.
B
5
01
3
1. To obtain the graph of y=asinb(x-h)+k, explain what each of the values of a, b, h, and k
affects the graph of function y=sinx.
6. Two graphs touch at a point if both pass through the point and have the same tangent line there.
Show that the graphs of the function y = x² and y = 2x² + 2x + 1 touch at their intersection point.
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- 3. Find the slope of the graph tangent to the curve y = -x* – 2x3 +x that passes 6. through the point (2, -9)arrow_forwardAt which of the five indicated points of the graph in the figure below y' and y" have the same sign? Explain your answers.arrow_forward3- Shown below is the graph and equation of a function describing data rate of an internet service provider's data line. D is the data transfer rate, measured in Kilobytes per second, and tis time in seconds. Produce an estimation for the total amount of data transmitted (in Kilobytes) during the first 4 seconds. D = 10e1.15t +t³ + 500 sin(1.2t) + 500 2000 Data Rate (КВ/5) 1000 0.5 1.5 2 2.5 3 3.5 Time (seconds)arrow_forward
- 9) Write an equation of the tangent line to the graph of y = 5x2 - 8 at the point where x 0. %3D -3x - 2 SHOW ALL WORK.arrow_forward9) Give answer in slope-intercept form Find the equation of the tangent line to the graph of y = - 3 at x = 3. 5x + 2arrow_forward37. The graph of x3 + yß = 2, shown in the figure, is an astroid. Find the equation of the tangent line at the point (1, 1). 23 + y 23 = 2arrow_forward
- #7. In exact formarrow_forward1- Shown below is the graph and equation of a function describing data rate of an internet service provider's data line. D is the data transfer rate, measured in Kilobytes per second, and t is time in seconds. Produce an estimation for the total amount of data transmitted (in Kilobytes) during the first 4 seconds. D= 10e^1.15t+t^3+500 sin(1.2t)+500arrow_forwardDetermine the equation of the line through the point P(, tan“) that is parallel to the line with equation 5x – 8y + 4.5 = 0.arrow_forward
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