please circle the answer. (1 point) Find the equation of the osculating circle at the local minimum of -13 f(z) = 22+52...
walk me through this
a) Use the formula: k(x) to find the equation of the osculating circle for y In x at the point (1.0) 1+r732 The equation or the circle is: (x+(HS㎡+(y + (2/ b)Show that the osculating circle and the curve (y Inx) have the same first and decond derivative at the point (1.0). Note: findfor the circle using implicit dx differentiation for the circle: dy = 11 and For the curve: y Inx dy dx (1,0)
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please circle the answer!
(1 point) Find the absolute maximum and minimum of the function f(x,y) x y 1. As usual, ignore unneeded answer blanks, and list points in lexicographic order. Absolute minimum x2y subject to the constraint = value: attained at ( ), ), ( ), ). Absolute maximum value: attained at ( ), ), ).
(1 point) Find the absolute maximum and minimum of the function f(x,y) x y 1. As usual, ignore unneeded answer blanks, and list...
Question 8 Given: f(x) = 22- 6x2 - 48x + 7. Find the LOCAL MINIMUM point of f (x). (4,f (4)) • (-2, f (-2) • (-4, f(-4) = (2, f (2) DB DA
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) >...
3. Suppose f(x,y,z) - sin2(x) - 2 sin(x)+y'-4yz+52-6z. Find the minimum value of this function- you must find the point at which the minimum occurs and "prove" that the function really has a mini- mum there. Does the function have a maximum? If we restrict the variables to the ball of radius 1, centered at the origin, does the function have a maximum on that set? (You don't have to try to find the maximum but you should try to...
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the graph of y = sin | 2x | in the xy-plane.) An equation for the circle of curvature is (Type an equation. Type an exact answer, using π as needed.)
X) 13.4.21 Find an equation for the circle of curvature of the curve r(t)-21 + sin(t) j at the point (z,1). (The curve parameterizes the...
By examining the Hessian matrix, show that if f(x, y, z) has a local minimum at (x0, y0, z0), then g(x, y, z) = −f(x, y, z) must have a local maximum at that point. Likewise, show that if f has a local maximum, then g must have a local minimum at that point.
Find a function and a point c such that f(c) is a local minimum or maximum but f'(c) = 0. (4 points)
(1 point) Find the absolute maximum and absolute minimum values of the function f(z) -6r -63z +8 over each of the indicated intervals. (a) Interval = [-4,0] 1. Absolute maximum= 2. Absolute minimum (b) Interval = [-1, 8] 1. Absolute maximum= 2 Absolute minimum (c) Interval = -4, 8]. 1. Absolute maximum= 2. Absolute minimum
(1 point) Find the absolute maximum and absolute minimum values of the function f(z) -6r -63z +8 over each of the indicated intervals. (a) Interval...
(1 point) Suppose f(z, y) (z-y) (16-zy). Answer the following. Each answer should be a list of points (a, b, c) separated by commas, or, if there are no points, the answer should be NONE. Answer: 2. Find the local minima of f Answer: 3. Find the saddle points of f. Answer
(1 point) Suppose f(z, y) (z-y) (16-zy). Answer the following. Each answer should be a list of points (a, b, c) separated by commas, or, if there are...