3. Find the points of intersection of the pairs of curves a. y = x² +3;...
Answer each of the following question about the given the 3-dimensional surfaces x + y² +22 = 20 and 2 = x² + y². (2 pt) A) What quadric surfaces are represented by these equations? Give any details you can. x² + y2 + z = 20 := x2 + y2 (2 pt) B Make a sketch, nothing fancy just a sketch, of these surfaces and identify the space curve of intersection and describe this space curve in your own...
5. Let C be the curve that is the intersection of the given surfaces. Find an equation of the cylinder perpendicular to the xy plane that contains the curve Identify the curve C'by name and draw a sketch of the projection of C on the plane. Label the intercept points on the graph. by name and draw a sketch of the projection of C on the
5. Let C be the curve that is the intersection of the given surfaces....
48. Connecting Graphs and Equations The curves on the graph below are the graphs of the three curves given by 4x+ 5 = + 2x - x +3 y3= x3 - 2125x2 15 10 5 T T -21 -5-4 34 5 1 -5 -10 (a) Write an equation that can be solved to find the points of intersection of the graphs of yi and y2. (b) Write an equation that can be solved to find the x-intercepts of the graph...
1. (2 points) Find F dF if curl(F) 3 in the region defined by the 4 curves and C4 Ci F . d7 where F(x,y,z)-Wi +pz? + Vi> and C consists of the arc of the 2. (2 points) Evaluate curve y = sin(x) from (0,0) to (π, 0) and the line segment from (π,0) to (0,0). 4 3 3. (2 points) Evaluate F di where F.y,(ry, 2:,3) and C is the curve of intersection of 5 and y29. going...
Directions: Use the graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately- three decimal places) the area of the region bounded by the curves. Also, make a rough sketch of the region sought. You must write the definite integral using proper notation to receive full credit 1) y = χ sin(x*) , y = x6
Directions: Use the graph to find approximate x-coordinates of the points of intersection of the given curves....
level curves and parametric equation
(1) Consider the function a, )1)( 2)2 (a) Find the level curves of /(x,y) for heights 0, 1 /2, 1, and 2, and plot them on the same 2D Aaph. Use that information, as well as any other information you think you midt need, tereketch the surface f(x,y). (b) Find the parametric equation of the intersection of r2y4 with -f(r,y and sketch that parametric curve on the graph from part (a)
(1) Consider the function...
1. Find parametric equations and a parameter interval for the motion of the particle starting at the point (2,0) and tracing the top half of the circle x2 + y2 - 4 four times =1 2.Replace the cartesian equation with polar equation x2y 9 xy = 2 (x - 3)" + (y + 1)? - 4 3. Identify the symmetries of the curves. Then sketch the curves in the x-y plane a) = 2-2cost b)r? - sint 1. Give a...
1. .] For the following function f(x)= x* – 2x - 5 Determine the Inflection Points ONLY 2. For the given sketch of y i) Find the intersection points A, B and C. (Do not Estimate!) ***2, y =x +2; ii) Determine the shaded area enclosed between the given two curves y =*+2, y=x+2
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
1. .) For the following function f(x)= x4 – 2x - 5 Determine the Inflection Points ONLY 2.. For the given sketch of y = :) Find the intersection points A, B and C. (Do not Estimate!) +2, y=x+2= ii) Determine the shaded area enclosed between the given two curves -*+2, y =x +2