The Conic equation 25 x^ 2 − 100 x + 9 y ^2 − 18 y...

The Conic equation 25 x^ 2 − 100 x + 9 y ^2 − 18 y = 116 is given,the foci are ?

Expert Solution

milcah answered 2 years ago

Let R be the region inside x ^2 /9 + y^2 /25 = 1, with x...

Let R be the region inside x ^2 /9 + y^2 /25 = 1, with x ≥ 0. (That is, R is the right-hand side of the ellipse below.) (a) (15 pts) Use the change of variables x = 3u, y = 5v to transform ∫ ∫ R x dxdy to a polar coordinate integral. 3 −5 5 R (b) (5 pts) Evaluate the polar coordinate integral

(18) The region is bounded by y = 2 − x 2 and y = x....

(18) The region is bounded by y = 2 − x 2 and y = x. (a) Sketch the region. (b) Find the area of the region. (c) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = −3. (d) Use the disk or washer method to set up, but do not evaluate, an integral for the volume of...

Given the conic section written in general form: 25x^2 + y^2 + 50x - 10y + 25...

Given the conic section written in general form: 25x^2 + y^2 + 50x - 10y + 25 = 0 FIND: Part a) Identify which type of graph the conic section has. Part b) Now rewrite the equation in Standard Form for that particular type of Conic section. Part c) Use its Standard Form to graph the conic section. Part d) Label any vertices, focal points, center, radius, directrix or asymptotes as is appropriate for each graph.

#3. Given the conic section written in general form: x^2 - y^2 - 4x - 4y...

#3. Given the conic section written in general form: x^2 - y^2 - 4x - 4y + 9 = 0 FIND: Part a) Identify which type of graph the conic section has. Part b) Now rewrite the equation in Standard Form for that particular type of Conic section. Part c) Use its Standard Form to graph the conic section. Part d) Label any vertices, focal points, center, radius, directrix or asymptotes as is appropriate for each graph. I have a...

Find the maximum of f(x,y)=9-x^2-y^2 subject to x+y=3

a) Let y be the solution of the equation y ′ = (y/x)+1+(y^2/x^2) satisfying the condition y (...

a) Let y be the solution of the equation y ′ = (y/x)+1+(y^2/x^2) satisfying the condition y ( 1 ) = 0. Find the value of the function f ( x ) = (y ( x ))/x at x = e^(pi/4) . b) Let y be the solution of the equation y ′ = (y/x) − (y^2/x^2) satisfying the condition y ( 1 ) = 1. Find the value of the function f ( x ) = x/(y(x)) at x = e . c) Let y be the solution...

Estriol - X Birthweight -y 7 25 9 25 9 25 12 27 14 27 16...

Estriol - X Birthweight -y 7 25 9 25 9 25 12 27 14 27 16 27 16 24 14 30 16 30 16 31 17 30 19 31 21 30 24 28 15 32 16 32 17 32 25 32 27 34 15 34 15 34 15 35 16 35 19 34 18 35 17 36 18 37 20 38 22 40 25 39 24 43 The table shown above is taken from the Greene-Touchstone study which shows the...

For the differential equation (2 -x^4)y" + (2x -4)y' + (2x^2)y=0. Compute the recursion formula for...

For the differential equation (2 -x^4)y" + (2*x -4)y' + (2*x^2)y=0. Compute the recursion formula for the coefficients of the power series solution centered at x(0)=0 and use it to compute the first three nonzero terms of the solution with y(0)= 12 , y'(0) =0

State the linearity of the equation: x (y^2 + 2z) p − y (x^2 + 2z)...

State the linearity of the equation: x (y^2 + 2z) p − y (x^2 + 2z) q = (x^2 −y^2) z. Find the general solution, and then the particular solution that passes through the line: x + y = 0, z = 2. Linearity is the category to which it belongs among: linear, quasi-linear or non-linear.

Maximize / minimize f(x,y) = 3x+4y subject to x^2 + y^2 = 25

Question