CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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- Find the slope ofthe line in Figure l.arrow_forwardA cardiac monitor is used to measure the heart rate of a patient after surgery. It complies the number of heartbeats after t minutes. When data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute. t (min) Heartbeats (b) t-38 and t - 42 (c) t-40 and t - 42 36 (d) t-42 and t-44 38 2,503 2,639 40 2,773 The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.) (a) t-36 and t-42 42 44 2,903 3,033arrow_forwardI UI 21 Determine the equation of a line, in slope-intercept form, that passes through the points (4, -9) and (8, -4). O v = +14 y= ++14 O v = -14 O v= -14 It 78°F Cop fho & * 5. 6. L. 8. 9. 60arrow_forward
- Explain your understanding of the connection between the derivative of a constant and the slope of the tangent of a function. Use a diagram in your solutionarrow_forward3 part question! A,B,C attached!arrow_forwardExercise 3. Consider the curve defined by the equation below. = 4 2 a) Find the slope of the curve at the point (18, 2). b) If you travel along the curve starting at the point (18, 2) and moving in the direction that increases the x-values, does the slope of the curve increase or decrease?arrow_forward
- ungent Function *12. In Exercise #2 you were asked to calculate the slope of the terminal ray of the angle when you knew that the ray began at the origin and passed through a point on the circle. For example, if the terminal ray passed through the point (0.1736, 0.9848) then the slope is calculated as follows. 0.9848-0 m = 0.1736-0 0.9848 0.1736 5.673 a. Suppose you know that an angle measures 0 radians using a circle with a radius of 5 units. How can you find the point (x, y) on the circle through which the terminal ray passes? b. Using your answer to part (a), complete the following statement by writing tan(0) in terms of cos(0) and sin(0). (In other words, when we know the value of cos(0) and sin(0), how can we determine the value of tan(0)?) tan(0) =arrow_forwardPls help ASAParrow_forwardA function y with the property that y = -y" isarrow_forward
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