The equation +y= 9 in 3-space is cylinder Select one TrueO FalseO

Q: What is the particle's farthest distance from the point (2, 2).

A:

Q: Give the dual of the phrase "three collinear points and a fourth point not on the line of the other…

A: Dual of any phrase can be find by replacing the conjunction connective with disjunction connective…

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: The distance from (6,-5, 1) to yZ-plane is OA 6 /26 OC 1 O D. 62 OE 5 В.

A:

Q: -10- If the required is a point, use (x, y) form.

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: Use Picard's theorem, find the largest interval for which the IVP y y(0) = 1, %3D %3D x² +x – 6' has…

A: Given that, y''=yx2+x-6,y(0)=1 Let F(x,y,y')=yx2+x-6 Then, ∂f∂y=1x2+x-6 Since,…

Q: Colculate the isogonal trgjectories of y-ce* at 5.

A:

Q: -2yater 1- 2x cot2x 2CSC 2X %3D %3D

A: Solution-

Q: x(x² + 1)²y" + y = 0

A:

Q: Use Picard's theorem, find the largest interval for which the IVP y y(0) = 1, %3D x² +x – 6' has a…

A: Given that, y''=yx2+x-6,y(0)=1 Let F(x,y,y')=yx2+x-6 Then, ∂f∂y=1x2+x-6 Since,∂f∂y=0,…

Q: Sketch the graph of the cylinder x (y – 2)² in R³. %3D

A: Solution:   First of all x-y projection of this 3d graph is

Q: # Find the naetangularu coorudinates of the point-( ,-) which is 4. 5 3 in cylindaient coordinates.

A:

Q: Construct the bisector of XY.

A: According to our guidelines we can answer only first question . Kindly re-post other questions . (1)…

Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: Find indicial equation at each regular singular point of 2.x (1+x) y" + (3+ x) y' – xy = 0.

A: The given equation can be written as:

Q: Use the Trapezoidal Rule with n=6 to approximate π∫0sin2xdx.

A:

Q: Find mZU. U /3 V m2U = %3D Submit

A: tan x = perpendicular / base

Q: make outbound 3B the corner achieve True false

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find three different parametrizations of the graph of y = x3.

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Q: Rotate the point -320° to within 10°. (о, 1) x (1, 0) (-1, 0) (о, -1)

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Q: Eliminate the parameter from x = 2sint, y=4cost

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Q: What is the sum of the coordinates at which the diagonals of ABCD intersect?

A: From the given figure, The equation of the diagonals can be written as :

Q: Q1/ plot x2-y2=z (Elliptic paraboloid) in 3D.

A: Topic:- plot in 3-D

Q: Express the following in Cartesian form

A: As,  cos 300o= 12 and sin 300o= -32. Now, put the values and simplify.

Q: Describe the bifurcation that occurs when A = -1.

A: The bifurcation that occurs when λ=-1 is described as shown below

Q: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

Q: Sketch the graph of the cylinder given by 4x2 + 9y2 = 36. show solution

A:

Q: Eliminate the parameter to obtain an equation in x and y: x=-2cos2t, y=-2sin2t

A: x=-2cos2t y=-2sin2t using trigonometric property,               sin2t+cos2t=1

Q: 0 = % 3P= 13

A: Given : θ=π3, ρ=13 We know that  θ=tan-1yxtanθ=yxtanπ3=yx3=yxy=3x

Q: Find the arclength of y = 2x /2 on 1 < ¤ < 3 2x3/2 uostion

A: given that y=2x3/2. we need to find the arc length in the interval [1,3] the arc length formulae is…

Q: 5. plot x?-y?=z (Elliptic paraboloid) in 3D.

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find a parametrization for the line segment beginning at P, (-5, - 2,3) and ending at P2 0, 5/4

A: We have to use parameterization of the line.

Q: Classify the equation yʻuxx + 2xyuxy + 2x-uyy + xux = 0, and reduce it to canonical form.

A:

Q: A particle travels along the parabola y = ax^2 + x + b. At what point do its abscissa and ordinate…

A: Given: y=ax2+x+b

Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

A:

Q: Haw J Express the fallasing function by Cartesian equationst 3K34tane Seco

A:

Q: . (a) Show that as (x, y)→ (0, 0) along any straight line y = mx, or along any parabola y = kx², the…

A: Given : f(x) = x³y/(2x^6+y²)  To find : To prove that limit exist along parabola

Q: Draw the left and front vlews of the solid below. Left Front

A: Solid shapes are nothing but solids that consist of 3 dimensions, namely length, breadth, and…

Q: 0,change from poler to Cartesian Co-ovdinate VE-2- COSE9

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: What is the symmetric property

A: The below explanation is the answer.

Q: What is the image of (4,-1)(4,−1) after a reflection over the line y=xy=x?

A: Reflection over y=x means:  (x,y)→(y,x)  We need to find reflection of (4,-1) over y=x line .

Q: What is the center of X x² + y² – 30x + 221 = 0? Show all work for full credit.

A: Topic = Geometry

Q: Evaluate the line integral 3ydx + 6xdy where C is the straight line path from (1, 2) to (6, 5). Sc…

A:

Q: 27 hPlans that pas Ses through the Point C60,27 and contains the like メt4-2t)ソ= 34st) Zzス+4t 7.

A: Recall: General equation of a plane :     An equation for the plane through (x0, y0,z0 ) and…

Q: Write Cauchy-Riemann equations?

A:

Q: Express you answer in Mdx + Ndy = 0. 1. Circles whose center is passing through y = 4x %3D

A:

Q: By means of Lagrange's formula, prove that 1 Yo = - 1 - [2 (y₁+y_₁). (Y3 - y₁) 2 -Y₁) - 2 (Y-₁-y-3)…

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Q: Write the equation of OB with center B(-2, 3) and radius 10. O (2 – 2)² + (y + 3)² = /10 O (2 + 2)²…

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Q: What coordinate system is suggested if the integrand of a tripleintegral involves x2 + y2?

A: Given: The integrand of a triple integral involves x2 + y2

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.