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 15PS
To determine
Draw a graph of the given trigonometric function.
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1. Graph y= 3 tan-(x-7)+1.
2
11.
The curve above is the graph of a sinusoidal function. It goes through the points (−4,−3)(-4,-3) and (2,−3)(2,-3). Find a sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits.
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
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- 9. A windmill has a radius of 8m and rotates once every 20 seconds. The centre of the wheel is 20 metres off the ground (i.e. the vertical distance from the ground to the centre of the wheel is 20 metres). a. Using COSINE, find an equation that represents the height of the tip of one of the blades ("h") as a function of time "t" in seconds. Given that the tip is initially at its highest point. Show all work to support your equation.arrow_forward9. y = 3 tan TXarrow_forward3. Find the slope of the graph tangent to the curve y = -x* – 2x3 +x that passes 6. through the point (2, -9)arrow_forward
- 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.arrow_forwardDifferentiate. 4x y = 3 - tan(x)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
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