please answer all the following parts neatly. thank you Let's consider the problem that has given rise t...
please answer the following parts. thank you in advance 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-snx. (5) 1. On graph paper, sketch the graph of y-sin and draw a tangent line at...
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...
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).
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...
please help me answer All of these questions. Thank you! 1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...
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...
2.3*) Graph the following observations of x and y on graph paper. X 12 3 4 5 6 la 10 8 55 23 bole (a) Using a ruler, draw a line that fits through the data. Measure the slope and intercept of the line you have drawn. (b) Use formulas (2.7) and (2.8) to compute, using only a hand calculator, the least squares estimates of the slope and the intercept. Plot this line on your graph. (c) Obtain the sample...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
need help on this graph Physies 195 - Straight-line kinematics Data: Dot period=1/10s: the time interval between dots is 0.100 corrected values] 15 16 Xc (cm) te(s) 6 7 0 12 3 14. X(cm) t(s) đa (cm) | V (cm/s) 0 0 2.18 0.1002 .182 .0 4.890.200 12.7127.00 2. 5 0.30 3.67 36.70 12.88 o.quo 4.32 430 f 9.95 O S 10 .20 zich were 1 1 tbalo 30,56 38.0 74.50 46.43 0.900 8.8 84.43 55-25 88.00 1101.30 65.39 1.100...