1 3. (10 points) Let S be the quadratic surface given by 22-2-y (a) Classify S (B) S is a hyperboloid of one sheet (E) S is an (A) S is an (D) S is an (b) Find the equation of the tangent plane to S at the point (1,1, v3) (C) S is a hyperboloid of two sheets ellipsoid elliptic cone elliptic paraboloid point P(ro.Mo, 20) on S where the tangent plane to S at the point P contains...
Consider the surface whose equation is z = -2(y+1)^2 + (x+1)^2 - 1 i) determine a surface of the form (*) whose graph you can translate, rotate, or reflect to obtain the graph of the given surface. Provide the steps one would follow to manipulate the graph of your surface to get the graph of the given surface. Form could be Ellipsoid, Cone, Elliptic Paraboloid, Hyperboloid of One sheet, Hyperbolic paraboloid, and Hyperboloid of two sheets.
WE CAN CHOOSE MORE THAN ONE SELECTION Describe the graph of 9x2 - y2 + 1622 = 144. O a hyperbolic paraboloid an ellipsoid (or a sphere) O an elliptic paraboloid O a hyperboloid of two sheets O none of the above w O a cone (circular, elliptic, parabolic, or hyperbolic) O a hyperboloid of one sheet O a cylinder (circular, elliptic, parabolic, or hyperbolic)
Can someone help me understand part c, I'm not quire how to do it. The answer is (0,0, plus/minus root(10)) and I don't know how to get there. 3. (9 points) Let S be the quadratic surface given by 2y22 (a) Classify S 10 elliptic paraboloid (B) S is a hyperboloid of one sheet (A) S is an (C) S is a hyperboloid of two Answer (Letter): (D) S is an elliptic cone sheets (E) S is an ellipsoid (b)...
Let S be the surface of the elliptic paraboloid z = Iz= 9 – x2 - y2 above the plane z 0, and with upward orientation. Let Ě =< -y + ln(1 + xz), xesin(2), x²y3 > be a vector field in R3. Use Stoke's Theorem to compute: SS curlĒ. ds. S
Let S1 be the part of the paraboloid z = 1 − x ^2 − y ^2 that lies above the plane z = 0. Let S2 be the part of the cone z = √ x ^2 + y ^2 + 2(sqrt till y^2) that lies inside of the cylinder x ^2 + y^ 2 = 1. Let S3 be the part of the cylinder x ^2 + y ^2 = 1 that lies between these surfaces. If S...
4. Let D be a region in the (ar,y)-plane. If a, b,c > 0, let S be the part of the hyperbolic paraboloid ary in R3 with (r, y) E D, and let Thc be the part of the elliptic paraboloid :-bz2 + суг in R3 with (z, y) E D. For a given a >0, find b,>0 such that The has the same area as S
Let S be the ‘football’ surface formed by rotating the curve y = 0, x = cos z for z ∈ [−π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area. Please answer in full With full instructions. Let S be the 'football, surface formed by rotating the curve y = 0, x-cosz for-E-π/2, π/2], around the z-axis. Find a parametrization for S, and compute its surface area 3 Let S be the 'football, surface...
Let f(x,y,z) = xy + z-5,x=r +2s, y = 2r - sec(s), z = s Then I is: ar a. r - sec(s) b. sec(s) c. r+s+sec(s) d. 4r + 4s - sec(s) a. b. C. Given zº – xy + y2 + y2 = 2 and z is a differentiable function in x and y. Then at (1,1,1) is: дх a. 0 b. 1 c. d. e. None of the above o a. o b. ♡ C. o d.
let f(x,y)=sqrt(49-x^2-y^2) (A) describe the cross sections of the surface Z=f(x,y) produced by cutting it with the planes y=1, y=3, and y=5. (B) describe the cross sections of the surface in the planes x=1, x=3, and x=5. (C) describe the surface z=f(x,y). Let f(x,y) = 49 - x? -y?. (A) Describe the cross sections of the surface z=f(xy) produced by cutting it with the planes y = 1, y = 3, and y-5, (B) Describe the cross sections of the...