Compute f (x) for f(x)=tan(e-3x + sin 4x + 2) a. f(x)=(-3e-3x + 4cos 4x) sec?(e-3x + sin 4x+2) b. None of the other answers oc f'(x) = sec?(-e-3x + 4cos 4x) d. f'(x) =(e-3x + sin 4x) sec?(e-3x + sin 4x+1)
problem 3 pls Problem 3. Consider the curve {> 1, y = 1/x}. Compute the length of the part of this curve lying to the left of the line x = a for any a > 1. Show that the length of the whole curve is thus infinite. Compute the area of the surface obtained by rotating this curve about about the x axis by computing the corresponding improper integral; it should be infinite. What is the area of the...
1 1 a) Compute the length of the curve y = Inx, for 1 < x < 2. b) Compute the area of the surface obtained when rotating the curve in question a) about the y-axis, for 1 < x < 2.
for the function f(x) = x^4 - 2x^3 - 4x^2 + 4x - 1find f'(x), f''(x), f'''(x), f(4)(x)
The slope of the tangent line to a curve is given by f'(x) = 4x + 3x - 2. If the point (0,8) is on the curve, find an equation of the curve.
f(x,y)=4x-3y function on the curve x^2+y^2=25 when finding the extreme values using Lagrange multipliers which of these statements are true? 1)f is at minimum value at (-4,-3) on this curve 2)f is at maximum value at (4,3) on this curve 3)maximum value of f is 25 on this curve 4)f has not got any extremum points on this curve
(1 point) Let f(x) = ? Compute (5+4x)/x f(x) = f'(x) = f(1) = f'(1) = f"(1) = f"(1) = f(iv) (1) = f (1) = f(iv)(x) = f(V)(x) = We see that the first term does not fit a pattern, but we also see that f (b)(1) = Hence we see that the Taylor series for f centered at 1 is given by for k 1. f(x) = 9+ Ž (x - 1)
1. find f'(x): 1. f(x)=sin(x)+5cos(x) 2. f(x)=(2x+1)(4x+3)
Use the arc length formula to find the length of the curve y = 4x - 5, -1 sxs 2. Check your answer
Show ALL work to receive rating. Thanks! 1. Let f(x) = -4x^3+6x^2 a) Where is f(x) increasing/decreasing? Make a sign chart. b) Classify the critical points as local max, local min, or neither. c) Where is f(x) concave up/concave down? Does it have any points of inflection? d) Use the information above to sketch the curve. Note that f(1/2) = 1. Be sure your graph includes the x and y intercepts if they exist.