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At what points the normal line that passes by the point (-1,-2,1) above the ellipsoid 2x2 + y"2+2°2+7intersects with the sphere x^2+ y 2 zA2 100? (Post all the procedure, not only the answer,...
1) (2 points) The above graph shows that A) x is normal and y is normal...
1) (2 points) The above graph shows that A) x is normal and y is normal B) x is normal and y is inferior C) x is inferior and y is normal D) x is inferior and y is inferior E) x has an upward sloping demand curve 2) (2 points) Which of the above graphs shows how the budget line changes when Good Y decreases in price? A) Graph A B) Graph B C) Graph D) Graph D
Given f(x, y): 10-2x2-y, find a) The equation of the tangent plane to the surface at the point (2...
Given f(x, y): 10-2x2-y, find a) The equation of the tangent plane to the surface at the point (2.2,6) b) The parametric equations of the normal line at the point (2, 2, 6) c) The outward unit normal vector to the surface at the point (2, 2,6) d) Sketch the surface and the outward unit normal vector at the point (2, 2,6). 1.
Given f(x, y): 10-2x2-y, find a) The equation of the tangent plane to the surface at the...
(4 points) The tangent line to y = f(x) at (-3,-2) passes through the point (3.-6)....
(4 points) The tangent line to y = f(x) at (-3,-2) passes through the point (3.-6). Compute the following. a.) f(-3) = b.) f'(-3) =
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2...
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xy-plane ? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two...
1 - Find an equation of the vertical line that passes through (x, y) = (−10,...
1 - Find an equation of the vertical line that passes through (x, y) = (−10, 18). 2 - Find an equation of the line that passes through the point (−1, 6) and is parallel to the line passing through the points (−3, −5) and (1, 3). (Let x be the independent variable and y be the dependent variable.) 3 - Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line...
# 1: Consider the following curves in R la) 1822-32 x y + 37 U2 100. l ) 2x2 + 6 x y + 2 y-100. 1c) x2 + 4 x y + 4 y2-10:0. Write them in normal form. Give the change of variables that does this....
# 1: Consider the following curves in R la) 1822-32 x y + 37 U2 100. l ) 2x2 + 6 x y + 2 y-100. 1c) x2 + 4 x y + 4 y2-10:0. Write them in normal form. Give the change of variables that does this. For example, in 1a) the orthonormal basis of eigenvectors are λί 5,V1 (2,1)'/V5 and λ2 = St ( 100. ) . That is, 45, ½ = (1,-2)t/V5.S ( 1/V 5-2/v/5 ) (V6,...
please answer only if you know show all work subject is calculus 1 (2) Find the...
please answer only if you know
show all work
subject is calculus 1
(2) Find the equation of the tangent line to the curve 3y + 2x2 = x?y2 + 4 at (1,2). (6 points)
QUESTION 2 ONLY Question 1:(1 point) Consider the curves y = 7z2 +4x and y =-z2 + 4 a) Determine their points of interse...
QUESTION 2 ONLY
Question 1:(1 point) Consider the curves y = 7z2 +4x and y =-z2 + 4 a) Determine their points of intersection (x^,y1) and (x2,2),ordering them such that xi < x2 What are the exact coordinates of these points? ,y1= b) Find the area of the region enclosed by these two curves. t0.001 Give its approximate value within Answer: Question 2: (1 point) Let S be the solid with flat base, whose base is the region in the...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and...
(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...
1) (2 points) The above graph shows that A) x is normal and y is normal B) x is normal and y is inferior C) x is inferior and y is normal D) x is inferior and y is inferior E) x has an upward sloping demand curve 2) (2 points) Which of the above graphs shows how the budget line changes when Good Y decreases in price? A) Graph A B) Graph B C) Graph D) Graph D
Given f(x, y): 10-2x2-y, find a) The equation of the tangent plane to the surface at the point (2.2,6) b) The parametric equations of the normal line at the point (2, 2, 6) c) The outward unit normal vector to the surface at the point (2, 2,6) d) Sketch the surface and the outward unit normal vector at the point (2, 2,6). 1.
Given f(x, y): 10-2x2-y, find a) The equation of the tangent plane to the surface at the...
(4 points) The tangent line to y = f(x) at (-3,-2) passes through the point (3.-6). Compute the following. a.) f(-3) = b.) f'(-3) =
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xy-plane ? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two...
# 1: Consider the following curves in R la) 1822-32 x y + 37 U2 100. l ) 2x2 + 6 x y + 2 y-100. 1c) x2 + 4 x y + 4 y2-10:0. Write them in normal form. Give the change of variables that does this. For example, in 1a) the orthonormal basis of eigenvectors are λί 5,V1 (2,1)'/V5 and λ2 = St ( 100. ) . That is, 45, ½ = (1,-2)t/V5.S ( 1/V 5-2/v/5 ) (V6,...
please answer only if you know
show all work
subject is calculus 1
(2) Find the equation of the tangent line to the curve 3y + 2x2 = x?y2 + 4 at (1,2). (6 points)
QUESTION 2 ONLY
Question 1:(1 point) Consider the curves y = 7z2 +4x and y =-z2 + 4 a) Determine their points of intersection (x^,y1) and (x2,2),ordering them such that xi < x2 What are the exact coordinates of these points? ,y1= b) Find the area of the region enclosed by these two curves. t0.001 Give its approximate value within Answer: Question 2: (1 point) Let S be the solid with flat base, whose base is the region in the...
(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...
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