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1. 2. Find - 3(2) First write out the summation: Find the answer + The equation...
Find an equation of the ellipse that has center (0, -3), a minor axis of length 10, and a vertex at (-9, -3).Below is the graph of a parabola with its vertex and another point on the parabola labeled. Write an equation of the parabola.
4. We can compute the eccentricity of an ellipse with the equation e = c/a where a is the distance from the center of the ellipse to either vertex, and c is the distance from the center to either focus. We also know that 0<e< 1. Write a brief paragraph describing what happens to the ellipse as we change the eccentricity and let it get closer to 0, then describe what happens to the ellipse as we let the eccentricity...
PLEASE ANSWER ALL PROBLEMS CORRECTLY. THANK YOU! PROBLEM 1 PROBLEM 2 PROBLEM 3 PROBLEM 4 Write a polar equation of a conic with the focus at the origin and the given data. parabola, directrix x = 7 Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity 5, directrix y = -4 Consider the equation below. 1+ sin(0) (a) Find the eccentricity. e = (b) Identify the conic ellipse parabola hyperbola...
2. (15) Give the standard form equation of the parabola with vertex = (1,2) and focus = (3, 2) b. the ellipse with center (-1,3), a focus at (-1,7) and a major axis point (1,8) c. the hyperbola with foci at (3,3), (3,-7) and vertices at (3,1), (3,-5). 3. (12) Identify the conic section and complete the square to give the standard equation given 3x2-10y +36x -20y+38 0 is 3 (24) Given the parametric equations x-Y-2, y-t,-2 4· a. Sketch...
Hi I am studing multivariable calculus and I am asked to write down the parametric equation for the conic sections. I know, you are probably thinking " just do a google search". However, it is not totally out there on the web for all the cases. I would please like it if you could write down form the parmetirc equation of a conic section for both the vertical and horizontal categories. Thanks should be an easy thing to do ;)...
4. 5. 6. 7. 8 Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2. 8 Х 5 ? 3 4 5 6 For a given arithmetic sequence, the 89th term, agg, is equal to – 233, and the 9th term, do, is equal to 7. Find the value of the 33' term, 233- 0 433 X ? Check 2020 Merwe 2 # 3 $ 4 % 5 8...
5. 6. 7. 8. Find an equation of the hyperbola having foci at (3.3) and (3.9) and vertices at (3, 5) and (3.7). Ole X $ ? Check © 2020 McGraw- Question 6 of 6 (1 por 5 6 1 2 5 X. Find an equation of the hyperbola that has foci at (-13,0) and (13,0), and asymptotes y= ia x and y=-12 8 ? X Find an equation of the ellipse that has center (0, 2), a minor axis...
All 1. Consider the parabola 2 - 6x +10y - 1 = 0. () Find the vertex, focus, directrix, and axis of symmetry of the parabola. (b) Sketch the graph of the parabola. 2. Consider the ellipse 9x2 + 25y2 + 361 - 150y +36 = 0. (a) Find the center, vertices and foci of the ellipse. (b) Sketch the graph of the parabola. (b) Sketch the graph of the hyperbola. 3. Consider the hyperbola r? - 4y? +43 +...
Geometry tangent normal 5. Let P be a point on the ellipse with equation +5 = 1, where a >b>0, b2 = a (1 - e?), and 0 <e<1. (a) If P has coordinates (a cost, b sin :), determine the equation of the normal at P to the ellipse. (b) Determine the coordinates of the point where the normal in part (a) meets the axis y = 0. (c) Let F be the focus with coordinates (a,0). Prove that...
Find the vertex, focus, and directrix for the following parabolas. (a) (y - 2) = 2002 - 2) vertex : focus : directrix: (b) y2 - 4y = 20% - 22 Vertex focus : directrix (c) (z - 6) = 20(4-5) vertex focus directric (d) 22 + 402 = 4y - 8 vertex focus: directrix An arch is in the shape of a parabola. It has a span of 440 meters and a maximum height of 22 meters. Find the...