3.1 Using the differential length dl, find the length of each of the following curves: (a) p = 3, r/4 < ¢ < t/2, z = constant (b) r = 1, 0 = 30°, 0 < ¢ < 60° (c) r = = 4, 30° < 0 < 90°, ø = constant

Q: Find the equation of the tangent line to the curve y = 1/x at x - -1 O a. y= -3x-4 b. y = 3x - 4 O…

A: The slope at point (x1,y1) of the function f(x) is given by :     The equation of the tangent line…

Q: Consider the curve implicitly defined by: xey - y² = -3. i. Show using implicit differentiation that…

A:

Q: Calculate the slope of the curve f(t) = 11 sin? (t) at the point where t = 3 radians. Slope : Round…

A:

Q: Find the equation of the tangent line of the curve y = sin r + cos a at the point A(, v2).

A:

Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

A:

Q: 2) Find the tangent to the curve y 2 tan at x 1.

A: A detailed solution is given below.

Q: x² + 1 Find the tangent line of y = at r = 1

A:

Q: x = sin 2īt and y = cos 2nt. Find the equation of tangent line to the curve at the point t: 6

A:

Q: Find an equation of the tangent line to the curve y = 4 z³+x+9 at x = -2. Enter your equation in the…

A: The equation of the tangent line is given by:Where

Q: Find an equation of the tangent line to the curve at the following point: y = z°e², (1,1/e) y =

A: SOLUTION-