
Find an equation for the line that is tangent to the curve y = 3x3 - 3x at the point (-1,0). The equation is y=1 (Type an expression using x as the variable.)
3. Find the length of the curve y = y=for 0 < x < 2.
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.
The graph of y = -3x3 + 8 and the tangent to the curve at x = 2.5 is Calculate the value of the slope of the curve (correct to 2 decimal places) at the point whose x-coordinate is x = 2.5 The value of the slope at x = 2.5 is: _______ (2 decimals if necessary).
2) A consumer's utility function is a(x,y) =- 3x3 y (a) Find the consumer's optimal choice for x as a function of income I and prices pa,Py. (The answer is a little messy.) (b) Sketch the demand curve for x as a function of income I when prices are Pz 2,Py-32. (It may be easiest to plot a few points.)
Question 11 Find the length of the curve with parametric equations x = 2t, y = 3t, where 0 <t < 1. 10 42-2 O 4V2 - 1 22-1 4/ Question 12 True or false: y=x cos x is a solution of the differential equation y + y = -2 sin x True False
(1 point) Find the length of the curve defined by y = 3 ln((x/3)2 – 1) from x = 6 to x = 8.
Find the exact length of the curve. x = t 2 + t' y = In(2 + t), 0<t< 5 1.2986 Need Help? Read It Watch It Talk to a Tutor
Find the exact length of the curve. x = 3 + 12t^2, y = 8 + 8t^3, 0 ≤ t ≤ 1
(2 points) Find the exact length of the curve y = In(sin(x)) for #/6 <</2. Arc Length Hint: You will need to use the fact that ſesc(x) dx = In|csc() - cot(3) + C.