In each part, find a function that satisfies the requested conditions. (justify your answer). The topic is R^n → R functions. I) The partials exist and the other directionals do not exist. II) All directionals exist, (including the directions of the canonical vectors), the function is continuous and not differentiable

Q: Question 4 Find the gradient of the function at the given point. w = 2x - 4yz+z², (1, 1, −2) 21+…

A:

Q: Here is the contour plot of a differentiable function f. 2- (a) Evaluate f(2, 1). (b) Estimate fa(2,…

A: (a) Since the contour line which passes through point 2, 1 has a corresponding value 3. Therefore,…

Q: a) Sketch the graph of 7(t) =and show the direction of the increasing t, where 0 c) If 7(1)…

A: The vector field is rt=cost, t, sint. Now, if yt=t, then x=cosy and z=siny. Thus, the vector field…

Q: a city in Africa, an epidemic spreads during 50 weeks according to the model of a sinusoidal…

A: An epidemic spreads during 50 weeks according to the sinusoidal function given in the question. To…

Q: analytic function a domain D. If a zeck. y) + b v(x, y) = C in D are real Constants not all o. #2.…

A: If f(z)=u+iv is analytic in a domain D , then f satiesfies the Cauchy Riemann (C-R) equations that…

Q: The domain of the function f(x,y) =, ху is x² + y? The upper half plane without the origin The…

A: Given function: fx,y=xyx2+y2

Q: Determine whether the equation defines y as a linear function of x. If so, write it in the for…

A: For the given function, 2√x +3y= 0 3y= -2√x y= -(2/3)*√x So y is not a linear function of x.  Option…

Q: A3. Consider the function of two variables u(x, y) = xy² — x¹ — —⁄7y³. du (a) Compute and ди ду (b)…

A: Given information Function:  ux, y = xy2 -x4 - 13y3, Part (a):- Find the ∂u∂x   and  ∂u∂y. Part (b):…

Q: choose any quadratic formula

A: If you have any help please let me know in comment box and then I will help you.

Q: (a) Show that a differentiable function / decreases most rapidly at x in the direction opposite the…

A:

Q: Which of the following statements is incorrect, assuming that all second-order partial derivatives…

A: We have to check that which of the following statements are incorrect: (a). If f is a scalar…

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

Q: 18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² +…

A:

Q: 3. Determine and name the type of curves arising as level sets of the graph of the function J:R' +…

A: Given that f:ℝ2→ℝ, x,y↦y-x2 To find A,B,C,D:

Q: 一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co,…

A: All parts are true.