Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the major and minor axes. Hence sketch it. Also find the length and equations of the major and minor axes.

Q: A tank contains 1520 L of pure water. A solution that contains 0.06 kg of sugar per liter enters a t...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: The measurements x1 - 10m, x2 - 8m, and x3 - 6m represent the sides of a rectangular parallelepiped ...

A:

Q: Bertalan deposits $3,000 in a new savings account that earns 1.2% simple interest. How much interest...

A:

Q: 7) (2+i)? (-5-14 i)

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers...

Q: 1 c = |G| gEG

A: The centralizer of a group G is the set of all elements in G that commutes with a particular element...

Q: 2. Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 12 in...

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its cr...

Q: (3x²y+ 4xy² + 6}ktx+ (x° + 6x*y° -1]dy=0

A:

Q: t* t1

A:

Q: Find the area of the parallelogram. P1(0, 0, 0) P2(3, -4, 1) P3(-1, 2, -1) O 63 V26 C O 23 Find the ...

A:

Q: Determine the volume of the solid W limited above by the cone z in the figure and below by the parab...

A:

Q: S21²x 0

A:

Q: (as + isin I) 1.) Z = 12 %3D

A:

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

A:

Q: Obtain the derivative of the following functions: (2x²–1)* 8. y = (5-3х)4

A: Given y=2x3-155-3x4 the given function is of the form fg therefore derivative will be y'=gf'-fg'g2 t...

Q: For items 7 - 10: A square with vertices A(-1, -1), B(-3, 3), C(1, 5) and D(3, 1). 7. Find the lengt...

A:

Q: 4r> 16 -10

A: A mathematical statement, which states that two expressions are not equal is called an inequation an...

Q: An economy depends on two basic products, wheat and oil. To produce 1 metric ton of wheat requires 0...

A:

Q: If y = tanx, then which relation is true? ans. (1+x*)y, = 0 (1+x²)y, = 2 (1+x*)y, = 1 (1+x²)y, = 1 %...

A: It is known that ddxtan-1x=11+x2.

Q: find the area bounded by the given curve y=2x-x^2 and y=

A: The area bounded by the two curves is given by ∫abf(x)-g(x)dx where f(x) and g(x) are two curves on ...

Q: 5A? - 2AB + 3B

A:

Q: Which of the following is logically equivalent to A. -p Aq Vr B. pAnqvr O c. pv-qAr

A:

Q: a,b are two vectors then ax {ax (a xb)} =? ans. lal (6 xa) lal (a xb)

A:

Q: 5) It ai

A:

Q: Exponential function: W =

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: fx and fy are the special cases of directional derivativ in the directions of the unit vectors j and...

A: Questions from directional derivative.

Q: Screen. 11 If f(x, y) = x3y then df = ans. 2x²dx + dy x-2dy x+ dy 2xydx + x²dy O Previous Marked for...

A:

Q: Find the directional derivative of the function at P in the direction o f (x, y) = 3x- 4xy + 9y, P(1...

A:

Q: Find integers x and y such that gcd(N, 11353) = Nx + 11353y.  Let N = 116023

A: Given  gcd(N, 11353)= Nx+11353y and N = 116023 we have to find the integer x and y first we will fin...

Q: (a) Prove that f admits a minimum on [0, 0). (b) Does the statement of part (a) remain true in gener...

A: This is a problem of topology, real analysis, real valued function.

Q: 12) The school is planning a Spirit Day, where all students and staff participate. Henderson Middle ...

A: let the number of shirts be x according to question corst of each shirt=$5 one time fee =$100 claim-...

Q: is the following a proposition? 2π is even

A: Brief explanation of the answer has been provided in the file attached below. If you have any doubts...

Q: Find the error propagated from the function y = x³ if an error of 0.06 occurs in the independent var...

A:

Q: III. Determine the Order and Degree of the following differential Equations Degree Order 1. y"-e*+9=...

A: The given problem is to find the order and degree of the given differential equations.

Q: I. Given : 11 12 13 14 2 4 - 4 12 5 - 2 5 4 10 2 3 13 2 3 6 - 4 3 14 6 4

A:

Q: y"+3y'– 10y=0; y(0) =0, y'(2) =1 is alan A initial value problem B) general solution boundary value ...

A:

Q: C2 POCO PC KILLER SINGH 13:52 D4 I ime Left: Thour o Minutes Z seconoS Screen. 40 Projection of the ...

A:

Q: Construct a truth table for the given statement. Fill in the truth table. qvp (dAb)-(dvb) T T.

A: The truth table for the given statement is as below.

Q: Solve the following initial value problem: (2x + 4y)dx + (y – x)dy = 0, y(1) = 0. -

A:

Q: 15) T-mobile is charging an activation fee of $50 and $65 per month. Write linear equation for the c...

A: Graphically, the linear function representing the relationship between an independent variable let's...

Q: The nature of the stationary point (0, -1) for the function f(x,y), if f= 4-12x, fy= 0 and fry=-4+ 1...

A:

Q: Problem 2 Given: AC and DF ,bisect each other at E Prove: ΔDEA ΔΡEC F Proof: A NCR Uno. Statements R...

A: Given: AC and DF bisect each other. To prove: △DEA≅△FEC

Q: 1 dx by using properties of improper integrals. 1: (b) Evaluate (x-2)/3

A: We have integral , ∫131(x-2)13 dx Here ,   f(x) = 1(x-2)13 Clearly , f(x)  has undefined singular po...

Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) x² + 15y² Question Help: O ...

A:

Q: Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that satisf...

A:

Q: Kindly help me solve the following problems. Show details and illustrations. Thank you! Two paralle...

A: Given  Two parallel sides of the rectangle are being lengthened at the rate 20mm/sec Let L be the le...

Q: 4. para t> 0, 0 <x < 2 u(0,t) = u(2,t) = 0 u(x,0) = x (2 – x), ди (x,0) = 0

A:

Q: Prove that 1 + 2+22+23 + + 2" = 2n+1 1 for n 2 1. Use proof by induction.

A: Let's say we need to prove a formula or a statement P(n). To prove this, we need to prove that The ...

Q: 2. Evaluate whether the following initial values is true in the function: y = 4cos-+ e-2x 2.a) 2.b) ...

A: Given , y=4 cosx2+e-2x  

Q: Show that a subset X of a matroid is a hyperplane if and only if X is a maximal non-spanning set.

A: As you question specifies only to show X is a non-spanning set and there is no other data provided ,...

Q: 00 (-1)"+1 Is En=1 convergent absolutely, non-absolutely, or diverges. n+8

A: Given series is ∑n=1∞-1n+1n+8 Absolute convergent test: If ∑an converges, then ∑an converges. Let an...

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.