3. Use implicit differentiation to find dx at at the given point P. 7 tan^x +...
S The function s = 12 - 91? + 27t, Osts 4, gives the position of a body moving on a coordinate line, with sin meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction? 3.4.7 At time t, the position of a body moving along the...
1. At time t, the position of a body moving along the s-axis is s= t3 – 9t2 +24t m. Give formulas for the body’s velocity and acceleration at time t. Find the body’s acceleration each time the velocity is zero. Find the body’s speed each time the acceleration is zero.
Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. Xy = 28, (-4,-7) dy dx = At (-4, -7): y' =
Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy = 32, (-8, -4) dy dx At (-8,-4): y' = Need Help? Read It Talk to a Tutor
at time t,the position of a body moving along the s-axis is s=t^3-12t^2+36t m.a)find the bodys acceleration each time the velocity is 0b)find the bodys speed each time the acceleration is 0c)find the total distance traveled by the body from t=0 to t=3question #2
Question 7 * Use implicit differentiation to find of the following curve at the point (1, 29). y= x + sin xy b- Show that as, is zero in two differentiation steps only f(x,y) = xey?/« axay - Show that ox ay is zero in three differentiation steps only. f(x,y) = y² + y(sin x - **). z = -1 Question 8 Let w = z - sin(xy) where x = at y = ln(t) Find dw/dt by:- 4. Using...
.-21 2. (a) +5 represents the position of a body moving in a line, with s in meters and t in seconds with 1 St 54. (5 Marks) a) Find the body's displacement for the given interval. b) Find the body's speed and acceleration at the end points of the interval. c) Find the body's acceleration when the velocity is zero. d) Find the body's speed when the acceleration is zero.
7. (5 points) Find the linear approximation for f(x) = tan(2x) at a = 0 and use it to approximate the value of tan(0.002). Hint: The linear approximation is just the tangent line to the curve at a = 2. 8. (5 points) Use the Mean Value Theorem for derivatives to find the value of x = c for f(x) = Vx on the interval (1,9). 9. (5 points) The acceleration of an object moving along the number line at...
Question 7 Ue implicit differentiation to find of the following curve at the point (7, 2x). y = x + sin ny is zero in two differentiation steps only f(x,y) = xey?/«. is zero in three differentiation steps only. f(x,y) = y² + y(sin x - x"). b. Show that #xiy at - Show that .... Question 8 y = In(t) z = et- Let w = z - sin(xy) where Xit Find dwat by:- Using Chun Rule principles b-...
.4.5 프 Assigned Media A body moves on a coordinate line such that it has a position s fon the interval 1sts2 with s in meters and t in seconds. a position s f) on the interval a Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval c. When, if ever, during the interval does the body change direction? .4.5 프 Assigned Media A...