2.1 Homework - Tangent and Velocity Problems (Homework)

6. [-/1 Points] DETAILS SCALCET8 2.1.JIT.009. MY NOTES ASK YOUR TEACHER Make a table of values for the equation. 2y = x2 X y -6 -4 -2 0 N A 6 Sketch the graph of the equation. 10 - 10 - y 5 -5 -5 -5- -5- O -10- O -10J10 y 5 6 -2 6 -6 -4 -2 -5- -10 O -10 - O Find the x- and y-intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y ) = () y-intercept ( x, V ) = ( Need Help? Watch It7. [-/1 Points] DETAILS SCALCET8 2.1.JIT.003.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find an equation of the line passing through the given points. (1, 1), (6, -2) Step 1 Use the two-point form of the linear equation. Fill in the missing blanks using (1, 1) for (X, , y,). You will need both points to determine the slope, - Y2 - Y1 2 - X 1 (No Response y - 1 = (No Response) 1 (No Response) Step 2 Simplify the slope to write an equation of the line passing through the given points. Submit Skip (you cannot come back) Submit Answer8. [-/1 Points] DETAILS SCALCET8 2.1.JIT.003.MI. MY NOTES ASK YOUR TEACHER Find an equation of the line passing through the given points. (1, 1). (4. -=) Sketch the line. 10 51 -X -10 10 -10 -5 10 -5/ -5 O -10 O -10 10 10 5 5 - X -10 -5 10 -10 -5 5 10 -5 -5 -10 -10 O O Need Help? Watch It Master It Submit Answer9. [-/1 Points] DETAILS SCALCET8 2.1.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute. t (min) 36 38 40 42 44 Heartbeats 2512 2648 2781 2919 3055 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 (b) t = 38 and t = 42 c) t = 40 and t = 42 d) t = 42 and t = 44 Submit Answer10. [-/1 Points] DETAILS SCALCET8 2.1.501.XP. MY NOTES ASK YOUR TEACHER The table shows the position of a cyclist. t (seconds) 0 2 3 4 5 s (meters) 0 1.6 5.2 10.9 17.8 26.2 (a) Find the average velocity for each time period. (i) [1, 3] m/s ii) [2, 3] m/s iii) [3, 5] m/s (iv) [3, 4] m/s (b) Estimate the instantaneous velocity when t = 3. m/s Need Help? Watch It