Question 8 Given: f(x) = 22- 6x2 - 48x + 7. Find the LOCAL MINIMUM point...
QUESTION 22 · 1 POINT Find the equation of the tangent line to the function f(x) = 6x2 – 1 at the point where x = -7. Give your answer in the form y = mx + b. Provide your answer below: P FEEDBACK
please circle the answer. (1 point) Find the equation of the osculating circle at the local minimum of -13 f(z) = 22+52+-2-z+1 Equation (1 point) Find the equation of the osculating circle at the local minimum of -13 f(z) = 22+52+-2-z+1 Equation
15. Find the critical points of the function f(x, y) = y3 - 6y? - 2x3 - 6x2 +48x+20. Then, use the Second Derivative Test to determine whether they are local minima, local maxima, or saddle points. Find local maximum and local minimum values. (10 Pts) 16. Use Lagrange multinliers to find the maximum
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y? - 2x²y + 4 on the square given by -1 << < 1 and -1<y<1. 11 4 8 None of the above or below O-2 07
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point (17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
Find all maximum (local and absolute) and minimum (local and absolute) for f(x) = (7 + x)(11 – 3x)1/3. Clearly show why.
Problem 5. Find the local marimum and minimum values and saddle point(s) of the functions: i) f(x,y) = x2 + xy + y2 + y. a) f(x, y) = (x - y)(1 - x). ui) (Optional) f(0,y) = xy +e-zy. Note that the critical points are (2,0) and (0,y) and that f(x,0) = f(0, y) = 1. However, from Math 110, we can show that the function gw) = w+e-w has an absolute mim at w = 0i.e., g(w) >...
|(a) Consider the following function for > 0 f (x)= = -4x 48x (i) Find the stationary point(s) of this function. (3 marks) (ii) Is this function convex or concave? Explain why. (3 marks) (iii What type of stationary point(s) have you found? Include your reasoning. (4 marks) |(b) Show that ln(a) - a has a global maximum and find the value of a > 0 that maximises it. Do the same for ln(a) - a" where n is a...
3. |(6x2/3 + 2 cos x – 5) dx 4. Find f(x) given that f'(x) = 5x4 – 3x2 + 2 and f(1) = 4.
(1 point) Find the critical numbers of the function f(x) = 2x3 + 6x2 - 48.. Answer (separate by commas): <= (1 point) List the critical numbers of the following function separating the values by commas. f(x) = 6x2 + 4 List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need f(x) = 2x3 + 2x2 + 20