Question 2 Find the domain of the function: f(x,y)= Trova cination for v) - In(9-x-y) a....
2. Find and sketch the domain of the function f(x,y) = V x2 – y + 2.
Question 1 Consider a function f (2) with domain 3 << 7 and range -3 < f (x) < 9 a) Find the domain and range of g (x) = f (5x). Domain: <3< Range: 59(2) b) Find the domain and range of -h (2) + 7. Domain: sos Range: <9() <
17. Given f(x, y, z) = x^yz -- xyz', P(2,-1,1) and vector v =<1,0,1 >. Find i. the directional derivative of the function at the point P in the direction of v. ii. the maximum rate of change of f.
Consider the curve y = f(x) with f(x) = 2+ | V+ – 1 dt. Find the value of X > 1 so that the length of the curve between (1, 2) and (x, f(X)) is 12 Enter the value of X as a decimal that is correct to at least one decimal place.
Suppose that f(x, y) = y V x3 + 1 on the domain D = {(x, y) | 0 < y < x < 1}. D Then the double integral of f(x, y) over D is S] f(x, y)dady - Preview Get help: Video License Points possible: 1 This is attempt 1 of 3.
QUESTION 9 Find the domain and range and describe the level curves for the function f(x,y) y+10 1(x, y)s a.Domain: all points in the x-y plane excluding x O: range: all real numbers; level curves: parabolas y ex2-10 b. Domain all points in the xey plane; range: real numbersz 0: level curves: parabolas y- ex2- 10 Domain :all points in the x-y plane; range: all real numbors; levol curvos: parabolas y ex2-10 d. Domain all points in the x-y plane...
2 + (a) Determine and sketch the domain of the function f(x, y) = (x2 + y2 – 4) 9 – (x2 + y2). [7] x6 – yo (b) Evaluate lim (x,y)+(1,1) - Y [5] (c) What does it mean to say that a function f(x, y) has a relative minimum at (a,b)? [4] (d) Find all second order partial derivatives of the function f(x,y) = 22y.
2. Consider the surface -v 9-2r2-r : f(x, y) z (a) What is the domain and range of f? (b) Sketch the level curves for 2-f(r,y) -0,-3,-2V2,-v5 (c) Sketch the cross sections of the surface in the r-2 plane and in the y-z plane (d) Find any z, y and z intercepts Use the above information to identify and sketch the surface. 2. Consider the surface -v 9-2r2-r : f(x, y) z (a) What is the domain and range of...
3. Find the domain of the function f(x)--2logs (x +3) - 2 Was this domain difficult to find? If so, why? If not, why might someone else find it difficult? List the transformations in their correct order, starting with the parent function a) Parent function: b) Frist transformation c) Second transformation d) Third transformation e) Fourth transformation 3. Find the domain of the function f(x)--2logs (x +3) - 2 Was this domain difficult to find? If so, why? If not,...
Question For this problem, consider the function y=f(x)= |x| + x 3 on the domain of all real numbers. (a) The value of limx→ ∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (b) The value of limx→ −∞f(x) is . (If you need to use -∞ or ∞, enter -infinity or infinity.) (c) There are two x-intercepts; list these in increasing order: s= , t= . (d) The intercepts in part (c) divide...