Question: Find a point on the ellipsoid x + 4y + z = 9 where the tangent plane is perpendicular to the line with parametric equations

Find a point on the ellipsoid x² + 4y² + z² = 9 where the tangent plane is perpendicular to the line with parametric equations

Step by Step Solution

★★★★★

3.52 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Fx y z x 4y 29 VF 2xi 8yj 2zk This normal vector is para... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

Q:

Find a point on the surface x2 + 2y2 + 3z2 = 12 where the tangent plane is perpendicular to the line with parametric equations: x = 1 + 2t, y = 3 + 8t, z = 2 -6t.

Q:

Find the general equation of the plane through the point (1, 1, 1) that is perpendicular to the line with parametric equations x = 2 - t y = 3 + 2 t z = - 1 + t

Q:

Find a point on the surface z = 2x2 + 3y2 where the tangent plane is parallel to the plane 8x - 3y - z = 0.

Q:

z = x ty , z= 16 -y, (4, -1, 17) Need Help? Read It -/1 Points] DETAILS LARCALC12 13.7.032. Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the...

Q:

Find a point on the ellipsoid x 2 + 4y 2 + z 2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 - 4t, y = 1 + 8t, and z = 3 - 2t.

Q:

1. Find the point on the sphere (x 21:2 + y2 + {2 5:12 =16 nearest to a. the xy-plane. b. the point ( 8,0;5). a. The point on the sphere nearest the xy-plane is{ I. II I). Determine the graph of the...

Q:

5. [-/1 Points] DETAILS LARCALCET7 13.7.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the angle of inclination @ of the tangent plane to the surface at the given point. (Round your answer to...

Q:

1) Find the point(s) on the hyperboloid a' + 4y" - 23 = 71 where the tangent plane is perpendicular to the line with parametric equations r = 4 - 8t, y = 2 + 32t, and = = 2 + 6t, O ( 4, 4, 3) O (4,...

Q:

questions below: Find equations for the tangent plane and the normal line at point Po (Xo,yo,Zo ) (1,5,0) on the surface - 10 cos (xX) + 2x y+ exZ + 6yz= 21. . . . Using a coefficient of 20 for x,...

Q:

5. [-/3 Points] DETAILS SCALCET9 14.6.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x,...

Q:

Describe the traditional model, the human relations model, and the human resources model of organizational theories.

Q:

Write functions for processing a semimap a combination of a map and a set. A semimap is a polymorphic list of two possible items: (key,value) pairs or singleton keys. The types of the keys and...

Q:

Explain the following investor types. a ) Passiive Preserver , ( 5 marks ) b ) Active Accumullator ( 5 marks )

Q:

Refer to Exercise 2.3.12. Compute the mean, median, variance, standard deviation, first quartile, third quartile, and interquartile range. Construct a boxplot of the data. Are the mode, median, and...

Q:

Write the system of equations corresponding to the augmented matrix: 3 2 4 1 0 8 -2 1 3-11 -6

Q:

Use the given matrices to compute the expression. 2A + C -1 4 6. 1 -2 5 C = 1 -3 A = | 0 3 B = -4 3 1 2

Q:

Use the given matrices to compute the expression. A - 3C 4 -2 5 A -4 B 1 -3 3 2 -1

Q:

Preparing the quarterly cash budgets of the next year, obtained the following sales forecasts from the marketing department, indicate if there is a need of cash borrowing if yes compute the need of...

Q:

(b) Based on the cost-allocation bases selected in requirement (a) above, calculate the indirect cost rates for medical supplies; rent and clinic maintenance; administrative costs for patient charts,...

Q:

Watkins Trophies, Inc.., produces thousands of medallions made of bronze, silver, and gold. The medallions are identical except for the materials used in their manufacture. What costing system would...