ху 1. Let f(x, y, z) : = 2x2 + z² – y² and g(x, y) = Answer each of the x²+ y²' following: (i) (ii) Show that limxv)¬(0,0)g(x,y) does not exist. Find the largest set on which the function f(x, y,z) is continuous. Find the gradient Vf(x,y, z). (iii)

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: Which of the following is a possible value of the gradient V f of a function f (x, y) of two…

A: The gradient of f(x,y) is given by:

Q: ,2 For function f (x, y) x2+1 Evaluate the gradient at the point (1,2)

A:

Q: 4 2 IF Ø = 2x2² - xy₁ FIND 01111 AT THE POINT (2-2,1)

A:

Q: 10. Let F(x, y) = 1 + v4 – y². (a) Evaluate F(3, 1). (b) Find and sketch the domain of F. (c) Find…

A:

Q: Pron a. If u = f(x, y), where r = e' cost, and y = e' sint, show that (3)³ + (3) ² - - ² [(-)* +…

A:

Q: at the point (In 12,2) Find the gradient for the function f(a, y) = y'xe # Find exact values. No…

A: The given function whose gradient is to be calculated at a given point is:

Q: 12. Findofy-7 a Find the gradient of the greph atos b) Show that the above graph has turning points…

A: Given-(a)-Equation y=x3-3x2+7...(1)Differentiate abive equation with respect to x we get that…

Q: (2,-4). At what point on the graph of f (x) = x² – 5x +2 is the gradient equal to 10? (12)

A: here this is the question of co-ordinate of function.  here we have to find slope of equation so the…

Q: a) h(x)= f(x)+c b) h(x)= f(x)-c c) h(c) =f(x+c) d) h(c) = f(x-c) i) A horizontal shift of f, c units…

A: Given ,  a) h(x)= f(x)+c b) h(x)= f(x)-c c) h(c) =f(x+c) d) h(c) = f(x-c) We have to match with…

Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

A:

Q: Find the partial derivatives w = 6exy log(x2 + y2) Əw Әх aw ду Əw aw Әх' ду

A: Given w=6exylog(x2+y2)⇒∂w∂x=6y.exylog(x2+y2)+exy.2xx2+y2and ∂w∂y=6x.exylog(x2+y2)+exy.2yx2+y2