4. Cancidero the two Surtexes oefned by enol Cobrdinte systems b Sketch the level ge Curves t x y...
final study guide, please help 1.) Sketch the indicated level curves of the following functions. 0, z = 2, and z = 4 level curves of f(x,y)-хуз. The z =-2, z ). log025 (x + y2 2 level curves of h(x,y) -1,2-0, z-, 1, and z ii. The z ii. The z7, z 4,z 3, z 2, and z1 level curves of g(x.y) +3 1.) Sketch the indicated level curves of the following functions. 0, z = 2, and z...
Consider the function f (x, y)=6-32 -32 (a) Determine the level curves for the surface when z 0,3, 6. Sketch these three level curves in the ry plane. (b) Determine the cross-sectional curves of the surface in the rz plane and in the yz plane. Sketch these two cross-sectional curves. (c) Sketch the surface z f(x, y) (d) What is the maximal domain and range of f? (e) Evaluate the double integral f(ar, y) da dy Consider the function f...
7 Olet f(x,y)= -(--) Cy-x)+2 a) sketch flx,y) b) Draw the level curves f(x, y) = for t=2, 10, 1-2 08 c) Compute f (33) what point represents this computations, what are the signs (²) of fx (3,3), ty (3,3), +*x (3,3), toy (3,3)? point part b) ? a d) Without and
8. (b) Sketch the graph of f(x,y) = 1 - x2 - y2. Sketch the level curves of f(x,y,z) = k for f(x,y,z) = 2x - 3y + z-12, with k=0, 24, -12. - 22. 22
2. For f(x.y)-9-9x2-y'* a. Sketch the surface z-f(x,y) b. Sketch at least 3 level curves (label each one with its function value) 2. For f(x.y)-9-9x2-y'* a. Sketch the surface z-f(x,y) b. Sketch at least 3 level curves (label each one with its function value)
5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c) Sketch Vf at P and Q on the level curve f(x, y) = 3. 5. These are the level curves of a smoothly varying function f(x, y) 4 (a) At P is fx positive or negative? Why? (b) At P is fxx positive or negative? Why? (c)...
(This type of math is Multivariable Calculus 1) 7. Sketch the level curves of f(x, y) = p 16 − x 2 − y 2 for levels c = 0, 1, 2, 3, 4. Can you describe the surface? 17. An ideal fluid flow is modeled with the velocity potential ϕ = 4x−3y and stream function ψ = 3x + 4y. Sketch some streamlines for this flow. Can you describe this flow in a sentence or two?
2. (20pt.) Let f(x, y) 2 (a) draw and describe the level curves of f of value c= 0,1,2,4 (b) sketch the graph of f (r.y) 2. (20pt.) Let f(x, y) 2 (a) draw and describe the level curves of f of value c= 0,1,2,4 (b) sketch the graph of f (r.y)
1. Evaluate and sketch the convolution integral (the output y(t)) for a system with input x(t) and impulse response h(t), where x(t) = u(1-2) and h(t)= "u(t) u(t) is the unit step function. Please show clearly all the necessary steps of convolution. Determine the values of the output y(t) at 1 = 0,1 = 3,1 = 00. (3 pts)
Let f(x, y) = x(x – 1) + y2. (a) [1 point] Sketch the level curves of f. (b) [2 points] Compute the gradient of f, and sketch it as a vector field. (c) [3 points) Find all critical values of f and classify them as local maxima, local minima, or saddle points.