11. ( Credit) Consider the surface 4-22=( ) +y. For each of the following, determine whether...
answer quickly please f (x, y) = -e2x2+4 y2 + 3y2 +1 identify the shape of the level curve which contains the point a) logarithm b) circle c) ellipse d) o hyperbola e) line f) exponential g) None of the above.
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)...
3) Consider the equation of the conic below. (4 pts) a. Determine which conic This equation represents. State the conic and explain your decision 3x² + 2y? - 15x + 20y - 4 = 0 Rewrite this equation with a minor change so that the equation now represents the following conic b. circle c. hyperbola d. parabola 1) Use the animation mentioned earlier on page 910 to create two graphs of two ellipses using the instructions below. (3 pts each)....
Consider the quadratic function: f(x) = 22? + 14x + 13 . Find the following for this parabola. A) The line of symmetry: B) The vertex: C) The vertical intercept is the point D) Give the coordinates of the two z intercepts of the parabola as ordered pairs. Round your values to two decimal places for this part, if the roots are irrational.
5/3 pts Consider the parabola given by the equation: y= 22 -102 - 3 Find the following for this parabola: A) The vertex = ( B) The y intercept is the point (0, C) Find the two values of that correspond to the x intercepts of the parabola and write them as a lis separated by commas: 2 = Round your answer(s) to two decimal places. Question Help: D Video Message instructor Submit Question
Let OAB be a triangle, that is, 0, A and B are not collinear. Now let R and S be the mid-points of the sides AB and OA respectively and let M be the point of intersection of the line segments OR and BS. (a) Express the vector OS as a linear combination of OA and OB. (b) Express the vector OR as a linear combination of OA and OB. (c) Give the vector equation of the line through O...
Schoolcraft College Extra Credit Problems from Chapter 11 (5ed) (1 point each) D.Sm. Math 113 (MUST WORK WITH A TEAMMATE FROM CLASS AND SHOW ALL WORK TO GET CREDIT) Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and radius. 10) x = y2 +5 10) A) vertex (0,5) B) vertex (0,-5) C) vertex (5,0) D) vertex (-5,0)
Solve the following problems. Submit the written solution and a GeoGebra file. A. Determine a vector equation for the plane that contains the following two lines. 11:r = (2,4,-2) + t(1,-1,3), t E R 12:7 = (2, 4,-2) + s(3, 2,-2),s E R (2,4,-2)+11 ',-1,5) +S(5,2,-2) か B. Find the angle between these lines. C. Determine the corresponding Cartesian equation of this plane. D. Determine the distance between point Q(2,2,-1) and Line 1. E. Determine the coordinates of the point...
Consider the given function f(x) = 19 4 (a) Determine whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (1) Determine the axis of symmetry. (9) Determine the minimum or maximum value of the function. (h) Write the domain and range in interval notation. Write your answers in exact form. Part: 0 / 9 Part 1 of 9 (a) Determine whether the graph...
Q#6 (1 point each) For each of the following statements, determine whether it is true or false (circle the answer; you don't need to show any work). (a) True or False: x(x2+1)(x2-1) is an improper rational fraction. (b) True or False: The area enclosed between the graphs of y = x3 and y = 4x over (-2,2] is given by the integral 22(x3 – 4x)dx. (c) True or False: The area enclosed between the graphs of x = 2y2 +1...