please answer the following parts. thank you in advance Let's consider the problem that has given rise to the...
please answer all the following parts neatly. thank you Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
please answer the question and show all your work thank you ? Then graph it. 5) (15 points) a) Sketch the graph of the curve r = 1 + sin 8 for 0 SO S2 b) Find the slope of the tangent line to this curve at 0 = c) Find the polar coordinates of the points on this curve where the tangent line is horizontal
I need the answers for 6 and 7. Attached below is my work for 1-5. Thank you. My work: PART III Average rate of change of exponential functions near zero. (5) 1. Given f(x)- 2", find the average rate of change of f(x) fromx - 0 tox -0.1, so that Ax -0.1. Recall that the average rate of change is Show your steps and write your Δι answer on the first line of the table below. (5) 2. Continue finding...
Answer these questions please 07 1 point Two children, Joan and Mike, start at one end of a street. They run to the right until they reach the other end, then they head back to the starting point. On the way back, Joan is ahead of Mike. Which statement is correct about the distances run and the displacements from the origin? * Joan has run a greater distance and her displacement is greater than Mike's. Mike has run a greater...
5. [-16 Points) DETAILS LARCALC11 1.1.007 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the function f(x) = Vx and the point P(4,2) on the graph f. (a) Graph fand the secant lines passing through the point P(4, 2) and Q(x, f(x)) for x-values of 1, 5, and 8. 10 0 -10 O 90 -6 -10 333 236 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, (x))) (line passing...
please explain how you do part (b) clearly. Given the curve x-t5, y--t+4t +3, find the exact values: 18) a) of the coordinates of the leftmost point on the curve. (Use Calculus and show your work). b) of the parameter t where the graph crosses itself. (Use any method you wish - but show your work). c) of the parameter t where the slope of tangent line to the curve is(Use Calculus and show your work).
i need question 7 and 9 done immediately Thank you very much 2.50 2.00 1.50 Distance (meters) 1.00 0.50 0.00 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 Time (sec) A continuous stream of data for this experiment would look like the graph above. Using a ruler, draw a chord from the origin to the point (0.60, 1.80). Then, draw another line that is tangent to the curve and parallel to the chord you just drew 5) 6) What...
Please explain all the steps needed to complete this problem. Thank you for your time. A position-time graph for a particle moving along the x axis is shown in the figure. The divisions along the horizontal axis represent 1.75 s and the divisions along the vertical axis represent 3.0 m (a) Find the average velocity in the time interval t = 5.25 s to t = 14.00 s m/s (b) Determine the instantaneous velocity at t = 7.00 s (where...
Consider the surface given as a graph of the function g(x, y) = x∗y 2 ∗cos(y). The gradient of g represents the direction in which g increases the fastest. Notice that this is the direction in the xy plane corresponding to the steepest slope up the surface, with magnitude equal to the slope in that direction. 1. At the point (2, π), find the gradient, and explain what it means. 2. Use it to construct a vector in the tangent...
11. Consider the following set of n-6 observations of x and y given in Table 1 i. Graph the observations in a scatter plot on paper by hand by plotting x on the x-axis and y on the y-axis. Comment on the relationship. Using observations from Table 1, what are the sample means i and-? Using observations from Table 1, calculate the deviations and squared deviations from the sample mean for x: (x 11. iii. -x) and (x )for each...