Please SHOW ALL WORK and CIRCLE ANSWERS.
Please SHOW ALL WORK and CIRCLE ANSWERS. 2a) Identify the surface z = 10x2 + y2...
Quru! Select all that apply. 10x2 +10y2 + 3x4 + 6x?y2 + 3y4 Consider the function f(x,y) = x² + y² Your answer: The surface of f(x,y) is described by the paroboloid z = 10 + 3(x? +y?). The surface of f(x,y) intersects the xz-plane in the parabola z = 10 + 3x²,x70 The domain of the function f(x,y) is the set R2 -{(0,0)). The surface of f(x,y) is described by the paroboloid z = 10 +3(x² + y²),z *...
please show the work for the solution and use surface z = y and
then set up G(x,y,z) = z-y. Thanks!
Use Stokes Theorem to evaluate $F F. dr where F(x, y, z) = ryi+yzj+z?k and C is the intersection of the paraboloid z = x² + y² and the plane z = y with a counterclockwise orientation looking down the positive z-axis. HINT: The polar equation r = 2a sin 0, 0 <O< represents a circle with center (0,...
(a) Find and identify the traces of the quadric surface x2 + y2 ? z2 = 16 given the plane. x = k Find the trace. y = k Find the trace. z = k Find the trace. Describe the surface from one of the graphs in the table. ellipsoid elliptic paraboloid hyperbolic paraboloid cone hyperboloid of one sheet hyperboloid of two sheets
(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 16 given the plane. x = k Find the trace. Identify the trace. circleellipse hyperbolaparabola y = k Find the trace. Identify the trace. circleellipse hyperbolaparabola z = k Find the trace. Identify the trace. circleellipse hyperbolaparabola Describe the surface from one of the graphs in the table. ellipsoidelliptic paraboloid hyperbolic paraboloidconehyperboloid of one sheethyperboloid of two sheets (b) If we change the equation in part (a) to...
(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 4, given the plane. x = k y=k z=k (IDENTIFY TRACE AND SHAPE OF THE TRACE)
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Sketch the graph of the function. Identify 1. Vertical and horizontal asymptotes 2. X and Y intercepts 3. The interval that your function increasing or decreasing f(x)= X-2 x+1
(a) Find and identify the traces of the quadric surface x2 + y2 ? z2 = 25 given the plane. x = k Find the trace. Identify the trace. y=k Find the trace. Identify the trace. z=k Find the trace Identify the trace. (b) If we change the equation in part (a) to x2 ? y2 + z2 = 25, how is the graph affected? (c) What if we change the equation in part (a) to x2 + y2 +...
Show all of your work in an organized manner. Circle your answers. You may not use a TI-89 graphing calculator on this test. If a function is given as y=..., then you may not use y'= ... or y" = ... 1) Use the graph of f(x) to answer the following questions: (5,6) (2, 2) a) Identify all intervals on which f(x) is increasing. b) Identify all intervals on which f(x) is decreasing. c) Find the x-coordinate for all local...
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. Find the domain • Identify any vertical asymptotes of the graph • Identify any holes in the graph • Find the horizontal asymptotes, if they exist • Find any slant asymptotes, if they exist f(x) = : 23 – 4x2 - 4x – 5 x2 + x +1
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(10 pts) Let F(x, y, z) = (x + y, y - 1, e), and let S be the part of the surface z = 9. 22 - y2 above the plane z=5, with downward orientation. Evaluate the flux of F across S by computing the surface integral IsF. ds.