For questions 12-17, match the graph with its equation. If it is a quadratic surface, give the name of the surface +3z2...
solve and name each system question Solve and name each system of equation 12. 4x + 3y =-13 -x + y = 5 13. 7x + 2y = 6 14x + 4y 12 14. 9x-5y 1 -18x + 10y = 1 15. 2x + y + z = 9 -x-y+ z 1 3x-y +z 9
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e.
Question 12 The graph of a quadratic function is given. Determine the function's equation. -10 -10-8-6-4 8 10 x 8.d. j(x) = -x 2 + 2 g(x) = -x 2 + 4x + 4 f(x) = -x2 - 4x - 4 h(x)=x².2
Question 12 (3 points) Match the quadratic equation with the form it represents. y = -5 (x – 3) (x + 1) 1. Standard Form 2. Vertex Form y= -x2 + 2x – 7 3. Intercept Form y=3(x + 2)2 - 1
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e. Exercise 2. Directional derivative (6 pts + 9 pts)...
11. 4 12 Match each equation with the name of the conic, its eccentricity and equation of directrix: Your answer should contain one letter from each column. [18pts) H. 4 T. X=-3 12 (a) r= A. Circle 3 J. U. y = 6 2-3cos 3 B. Ellipse K. W. y= 2 6 C. Hyperbola L. X. x = -4 8-8sin 2 D. Parabola M. 3 Y y=-12 18 (c) E. Cardioid 3 Z. y. 4+3 sin 2 R 1 (b)...
#16 Please. Step By Step explanation would help me understand. Thank you. In Exercises 1-17 find the general solution, given that yı satisfies the complementary equation. As a byproduct, find a fundamental set of solutions of the complementary equation. 1. (2x + 1)y" – 2y' - (2x + 3)y = (2x + 1)2; yı = e-* 2. x?y" + xy' - y = 3. x2y" – xy' + y = x; y1= x 4 22 y = x 1 4....
question 12 , please sketch it by your hand , do not use computer graph θ varies from 0 to 2 π. φ varies from 0 to π/4 while 0 is constant. find 9-10 Write the equation in spherical coordinates. 9. (a) :2-x2 + y2 10. (a) a-2r+y- (b) x2 +z2 = 9 (b) x + 2y+ 3:-1 11-14 Sketch the solid described by the given inequalities. 15. A solid lies above the cone:- + y and below the sphere...
1 2 NAME Q1. (30pts) Solve the quadratic equation z2-(3+3i)z +6+2i = 0 by realizing the following plan: (i) find the discriminant A of the equation; (ii) write a program for a scientific calculator to obtain the polar form r(cos 0 + i sin 0) of A and the 'first' root + isin COS 2 of degree two of A; (iii) execute the program, fix the results, find another root A2 of A of degree two (before executing the program,...
Matching: Match the equation of each plane to its scalar form 2x-y-2-6.0 b.y Answer Alternate Equation 17 [x, y, :1 = [3, 2, 1]+42. 0, 31+13.0,2]s,t ER. 18. [x,y,:] = [5.-2. 31+43.-2.4]여5.-2, 6] s, t E R. 19. -1+2+3 20. [x,y,s]-[5, 4,-2]+42,-1,-1] 1.3.3]stER. 21. x--t + 22 y-2-1+4s s,tER. 22. Find the values of k such that the three planes never intersect in a point. (3 marks 4x+y- 17- x-y-kz+11-0 Page 3 of 6 23. The equation of a plane...