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Answer both questions please Question 13 0/ 1 point If we are given a graph which...
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...
19. [-13 Points] DETAILS HARMATHAP12 9.3.008. MY NOTES In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f'(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 6. (b) Find the slope of the tangent to the graph of y = f(x) at x = 6. (c) Find the point on the graph of y = f(x) at x = 6. (x, y) =...
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...
4. In class, we used both graphical and table methods to develop the idea that we can take a series of secant lines (lines that pass through two points of a function) and use them to approximate a tangent line. While the secant lines give us an approximate change, the tangent line gives us an instantaneous rate of change or the slopel/steepness of a graph at a single point. Do you this method always works? Does every point on every...
The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-1 orthogonally at (-1,0) and (1,0). Let H be the set of curves y2-2.2-b with b є R. (a) Prove that the tangent line of each curve in H at a point (x, y) with y 0 has slope - (b) Let y-f(x) be a...
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-1 orthogonally at (-1,0) and (1,0). Let H be the set of curves y2b with b ER. (a) Prove that the tangent line of each curve in H at a point (r, y) with y / 0 has slope (b) Let y -f(x) be a...
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
A position-time graph for a particle moving along the x axis is shown in the figure below.(a) Find the average velocity in the time interval t = 1.00 s to t = 4.00 s. (Indicate the direction with the sign of your answer.) (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph touches the curve. Indicate the direction with the sign of your answer.)(c) At what value of...
A position-time graph for a particle moving along the x axis is shown in the figure below x (m) 12 10 8 6 t (s) 02 3 4 5 6 (a) Find the average velocity in the time intervalt2.00s tot-4.00s. (Indicate the direction with the sign of your answer) m/s (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (Note that t Indicate the direction with the...