a) f(x)=(x-3)° –5 x- intercept: y-intercept: axis of symmetry: vertex: f(-4) = f(6) =

Q: + The Range of y [2x + 1] is Z. %3D TO FO

A: We can use the concept of function In order to solve the given problem.

Q: and the net is decribed by the equation y = V1 – x2 – z2, y 2 0,

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Q: If -y = xy - 3x then find d at the point (-2,6) in simplest form. 1

A: As we know that the differentiation of:- dxndx=nxn-1 (fg)'=f'g+fg' fg'=gf'-fg'g2

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Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Use separation of variables to find an explicit solution. xyy' = 2xy + y?

A: Idea: after separating x,dx and y, dy terms together. we take integration on both sides . after…

Q: Because XYZ intercepts XZ of OP, mXYZ = mXZ. %3D O True O False

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Q: 1-x² 2. , S. et²+y? dydx = (е-1) 4

A: We have to show that:  ∫01∫01-x2 ex2+y2 dy dx=π4(e-1)

Q: Find the local extreme values of ƒ(x, y) = x2y on the line x + y = 3.

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Q: X2 , 1 avuu. 3 VA 3. x = y3, 0 sy s1 about y-axis.

A: Given function is x=y^3

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Q: Find x and y in terms of a. X + y = 0 х+ ay %3D 6 (а + 1) (х, у) —

A: Given:    x + y =0        --------1   x + ay = 6     --------2 from 1: x = -y put the value of x in…

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: 1. What is point-slope form? А) Ах + Вy %3D С y2 - Yı В) т%3 X2 - X, С) у - У1 %3 т(х - х) D) у %3D…

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Q: 7. Eliminate a and b from the equation y =- In(ar +bx) where a,beR-(0}

A: q-7 eliminate a and b from the equation y=12lnax2+bx  this can be written as 2y=lnax2+bx⇒e2y=ax2+bx…

Q: 3. Which equation passes through the point (1, -2) and is perpendicular to y = x O y = 3x - 1 O y =…

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Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

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Q: 4. Solve eu, - uu, = 0, u(0, y) = -y %3D for small |r.

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Q: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a have a…

A: Given: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a…

Q: (b) (x- 1)y" + xy' -y 0, x 0 is an ordinary point.

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Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: 2. Determine C when x-y%3D0 show the solutions. (xy + x)dx = (x²y2 + x² + y2 + 1)dy

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Q: in yy = 2 y-x; %3D

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Q: If / f(x) dx = 4 and g(x). dx = -4, what is the value of %3D where D is the rectangle: -1 < x < 1,…

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Q: 5.) y = x3 + 1, y = 0, x = 1 around the a axis.

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Q: 13. y = x², y = 0, x= 1; about the y-axis

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Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 2e-2 Y(t) =

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Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: dw if Find = x* - xy+ y b) wax?-xy*; x-e* )3メーメ ; ×=t° X = e y=cost ?

A: I have given an answer in step 2.

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Q: x, y) Edy is

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A: (b)        y = t3 -12t+3    y1 =3t2 - 12 = v(t) when particle moving up means v(t)&gt;0    3t2…

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A: Find your answer below

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Q: c. Reflection over the x-axis and a y- intercept of 5

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Q: A curve C has equation y =x2lnx- 2x +5, x > 0. %3D For which values of x, the curve C is convex?

A: The equation of the given curve is  y=13x2 ln x-2x+5 , x&gt;0 For the curve to be convex its second…

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A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: For what values of m does Y = emx satisfy Y" + Y' - 2Y= 0 ?

A: For what value of m does Y=emx satisfy Y''+Y'-2Y=0

Q: A drone, flying at a constant altitude, is designed to monitor an industrial area for signs of…

A: (a) The given function has fine details which is complex to be traced manually. We are, therefore,…

Q: (D³ + 2D² - 5D - 8)y = 0, when x = 0, y = 0, y = 0, y" = 2

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Q: y"+3y"- 3yl-y=x+e" -y%3Dx+e

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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.