11.1.37 Describe the given set with a single equation or with a pair of equations. The...
Describe the given set with a single equation or with a pair of equations. The circle of radius 1 centered at (0,7,0) and lying in a. the xy-plane b. the yz-plane c. the plane y 7 Choose the correct set of points lying in the xy-plane. Choose the correct set of points lying in the yz-plane. Choose the correct set of points lying in the plane y = 7. Describe the given set with a single equation or with a...
Find a formula for the distance from the point P{x,y,z) to each of the following planes. a. Find the distance from P(x,y,z) to the xy-plane. b. Find the distance from P(x,y,z) to the yz-plane. c. Find the distance from P(x,y,z) to the xz-plane. a. Choose the correct formula for the distance from the point P(x,y,z) to the xy-plane. O A. Iz OB. Mx2 + y2 OC. Vz OD. x² + y² + 2? b. Choose the correct formula for the...
Describe in words the surface whose equation is given the plane perpendicular to the xy-plane passing through y X, where x 2 0 3 the top half of the right circular cone with vertex at the origin and axis the positive z-axis the base of the right circular cone with vertex at the origin and axis the positive z-axis 3 x, where x 2 0 the plane perpendicular to the xz-plane passing through z the plane perpendicular to the yz-plane...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...
Graph the region R bounded by the graphs of the given equations. Use set notation and double inequalities to describe R as a regular x region and as a regular y region. y=4 - x?.y=0,Osx52 Choose the correct graph of the region R below. OA OB. Oc OD Q Q Q 51 E 3 Describe R as a regular x region R={(x,y)| OD Describe R as a regular y region. R={(x,y) DD Minimize f(x,y) = x2 + xy + y2...
Give a geometric description of the set of points whose coordinates satisfy the given conditions. 1) X-5-4 A) All points in the x-z plane B) The line through the point (5.0,-4) and parallel to the y-axis C) The line through the point (5. -4,0) and parallel to the z-axis D) The point (5.-4) Describe the given set of points with a single equation or with a pair of equations. 2) The plane perpendicular to the y-axis and passing through the...
(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and is parallel to the vector (-1, 3,-4). -(x + 2) = 3(y-2) = -4(2 + 8). Ox+2-472.28 2-8 -4 -(x - 2) = 3(y + 2) = -4(2-8). *+2.1;2-28 (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz plane
Use the gradient rules to find the gradient of the given function, f(x,y,z) = x+yz y+xz Choose the correct answer below. 1 O A. Vf(x,y,z) = -((1-z?)z(z2 - 1).y? - x?) (y + xz)? OB. Vf(x,y,z) = (z(1-z?)y(z? - 1),z2 + x2) (x + yz)? O c. Vf(x,y,z) = (y(1+z2),x(z? + 1).y? - z?) (x + yz)? OD. Vf(x,y,z) = -(y (1-2²), x(2² - 1), y² - x²) (y + xz)2
Find the slope of the curve below at the given points. Sketch the curve along with its tangent lines at these points. r= - 4+4 cos 0; O= The slope at the point o = 5 is (Simplify your answer.) The slope at the point 0 = (Simplify your answer.) is Identify the curve r= - 4 + 4 cos 0. OA. OB. OC. Give a geometric description of the set of points in space whose coordinates satisfy the given...
3.847.69 points | Previous Answers SCac8 12.1.014 Find an equation of the sphere with center (2, -9, 3) and radius 5. 6+02+6-32-5 Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-pianer 2)2(y+9)2-16 intersection with x-plan(2( 3)2--56x intersection with yz-plane | (z 3). (y + 9 )2-21 Need Help?Read it Talk to a Tutor Submit Answer Save Progress intersection with xz-plane | (x-2...