We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
3. Given f(x,y)= sin?(2x+3y?).e***; (a) Find f (x,y). (b) Find f (x,y).
Find f (x,y). f(x,y)= e - 4x + 3y A. fx(x,y)= -4 e - 4x OB. {x(x,y)= - 4 € -4x+3y OC. fx(x,y) = e -4x+3 OD. fx(x,y) = 3 e - 4x+3y
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))
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]
9.(5pts) Find f, given f"(x) = 3 sin x + 2x, f'(0) = 3, f(0) = 5 Show your Work
Find f'(x) and f''(x) for the following: f(x) = e^cos(2x^3) b) f(x) = 20 x^3 + 12 x^2 - 8x sin (7x)
Find fx (x,y). f(x,y)= e - 4x + 3y O A. fx(x,y)= -4 e - 4x OB. fx(x,y) = -4 e - 4x + 3y O C. &x(x,y)= e = 4x+3 OD. &x(x,y)=3 € -4x+3y
(5 points) 2. Find the line integral of f (x, y, z) = 2x – 3y + 5z along the straight line segment from (1,0, 2) to (3, 2, -1).
2. The force F(x, y) = (y + 2x) sin(xy + x)i + x sin(xy + x2) is conservative. (a) Find a potential V such that F = -VV. [2 marks] (b) Is F central? Provide a reason for your answer. [2 marks]
Find all the first and second order. partial derivatives of f(x, y) = 8 sin(2x + y) - 2 cos(x - y). A. SI = fr = B. = fy = c. = f-z = D. = fyy = E. By = fyz = F. = Sxy=
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...