3. Given f(x,y)= sin?(2x+3y?).e***; (a) Find f (x,y). (b) Find f (x,y).
2. Describe the graph of the following function: f(x,y, z)-2x + 3y + z 2. 2. Describe the graph of the following function: f(x,y, z)-2x + 3y + z 2.
Find all y-intercepts and x-intercepts of the graph of the function. f(x) = 2x² – 2x² – 32x+32 If there is more than one answer, separate them with commas. Click on "None" if applicable. None ajo y y-intercept(s): 1 DO X $ ? x-intercept(s): 2
3. Divergence Find the divergence of: a) F(x,y,z)=(-2y x b) F(x, y, z) = (y2– 2x 5x’y x+32] c) i = [3y – 2yx xy2 +6z²x]
Consider the problem of maximizing the function f(x,y)=2x+3y subject to vx +Jy=5 What should be verified first in order to determine if f has a minimum or maximum 8) Consider the problem of maximizing the function f(x,y)=2x+3y subject to vx +Jy=5 What should be verified first in order to determine if f has a minimum or maximum 8)
Find the first partial derivatives of the function. f(x, y) = 2x + 4y + 8 fy 2 fy = 2 X
Find the volume of the given solid over the indicated region of integration. f(x,y) = 2x + 3y + 7; R={(x,y): -25X52, 1 sys4} What is the volume of the region? units3
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
3. Consider the function f(x,y) = 4 + 2x - 3y - x2 + 2y2 - 3xy. a) (5 pts.) Calculate the partial derivative functions, and use them to calculate the gradient vector evaluated at c = b) (5 pts.) Write down the affine approximation to at the e given in a) /(x) = f(c)+ Vf(e)'(x - c) . Use it to calculate (1.1, 1.1). (Hint: it should be close to f(1.1, 1.1))
Find the absolute maximum and minimum of the function f(x,y)=2x? - 8x + y2 - 8y + 7 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. On the given domain, the function's absolute maximum is The function assumes this value at . (Type an ordered pair. Use a comma to separate answers as needed.) On the given domain, the function's absolute minimum is The function...