Problem 1: Given the following function - 4x 4.x2 + 4y2 + 4y +1 1- 4x2...
A. Find the length of the latus rectum of 4y = x2 + 4x + 8. B. Find the radius of the circle with equation 4x2 + 4y2 - 17x + 17y = 19
14. Determine whether or not the complex function f(z) -4x2+5x -4y2 + i(8xy 5y+3) is analytic for all z є c.
Puestion 4 ot yet aswered Find the mass of the ellipsoid given by 4x2 + 4y2 + z = 16 lying above the xy-plane and the density function is given by p(x,y,z) = z. arked out of 0 lag Select one: 16 a. 3 stion 8 b. TT 3 c. 167 d. 871 e. 4 bus page
please show work, im so lost on all of these
Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
Checkpoint 4.4 Find the domain of the function h(x,y,t) = (3t - 6)Vy – 4x2 + 4. Checkpoint 4.5 Find the equation of the level surface of the function g(x, y, z) = x2 + y2 +z2 – 2x + 4y - 62 corresponding to c = 2, and describe the surface, if possible.
For 18-20 graph the following equations. 18. [6] 2x-4y+3z = 12 19. [6] x2 +4y2 +9z2 =1 20. [6] z 2x2 + y7
For 18-20 graph the following equations. 18. [6] 2x-4y+3z = 12 19. [6] x2 +4y2 +9z2 =1 20. [6] z 2x2 + y7
17) Given the quadratic function g(x)= -x2 - 4x + 4 a) Express the quadratic function in standard forn b) Find its vertex.
7. Let f:D + C be a complex variable function, write f(x) = u(x, y) +iv(x,y) where z = x +iy. (a) (9 points) (1) Present an equivalent characterization(with u and v involved) for f being analytic on D. (Just write down the theorem, you don't need to prove it.) (2) Let f(z) = (4.x2 + 5x – 4y2 + 3) +i(8xy + 5y – 1). Show that f is an entrie function. (3) For the same f as above,...
Given: f(x) = x3+ x2+4x find the following:a) Relative extrema b) Table of values c) x-intercepts (if any) d) y-intercept e) Domain f Range g) Interval(s) increasing h) Interval(s) decreasing i) Find All zero s ) Factor completely k) Graph
Problem #4 Solve the initial value problem as follows: dy dy +4+ (4 x +y) Then determine the positive number r such that - -4.04. Round-off the value of this positive number x to FOUR figures and present it below (12 points): your mumerical result for the ae ust be written here) Also, you must provide some intermediate results obtained by you while solving the problem above: 1) The substitution used to solve the differential equation is as follows (mark...