The position of an object is given by s(t)=2+7cos(t) determine all points where the object is not moving

Q: The tensions T1, T2, and T3 in a simple framework are given by the equations: ST1 +5T2 +5T3 7.0 T1 +…

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Q: (c) -7x+12x = 2 given that at t 0, x 1 and i 5

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Q: Determine if the equation (dfferential form) is exact and find the solution if it is…

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Q: Suppose f(x, y, z) = In(7x + 9y+7z). Find an equation for the level surface of f that passes through…

A: Given Data: The level of the curve for fx,y,z=In 7x2+9y+7z2 is of the form,…

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: Find the abscissa on the curve x²=2y which is nearest to a point (4, 1). А. 0 С.2 В. 1 D. 3

A: Use the distance formula then minimise using derivative.

Q: Find the equation in the xy-plane whose graph includes x In(6t) and y = t².

A: Given  x= ln(6t) y=t2

Q: In the given question , find d2y /dx2 implicitly in terms of x and y :-   xy - 1 = 2x + y2

A: In the given question , find d2y /dx2 implicitly in terms of x and y :- xy - 1 = 2x + y2

Q: Find the solutions to y = −2y + 8 satisfying y(0) = 3 and y(0) =4, and sketch their graphs.

A: The given differential equation is y' = -2y + 8, satisfying the initial condition y(0) = 3, y(0) =…

Q: Find the points on the curve x^2y = 2 nearest the origin.

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Q: Find the particular solution of y' = xey-x? given y(0) = 0.

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Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

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Q: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

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Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

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Q: The position of a moving particle is given by s = t - 8t + 15, then its speed at t = 8 is

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Q: The equation 5z + zy = C is the general %3D Sz- 10 - A 10

A: The general solution of the differential equation: - A differential equation is an equation that…

Q: Find dy for the given values of x and Ax, y%3D5X²-6x, x= -2 and Ax =0.1 dy =D (Round to the nearest…

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Q: Find all values of r for which the function y = e^(rx) satisfies the equation y'' + 5y'-6y=0

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Q: Find the point on the curve g(I) z +5 that is closest to the point (-57, 5).

A: Q - Point on the curve g(x) = x2 + 5 that is closet to the point (-57, 5).f - If point on curve is…

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: The tensions, T1,T2 and T3 in a simple framework are given by the equations: 5T1 + 5T2 + 5T3 = 7.0…

A: NOTE: According to guideline answer of first method can be given, for other please ask in a…

Q: The graphs of r +y² + 6x – 24y + 72 = 0 and x² - y' + 6x + 16y - 46 0 intersect at four points.…

A: We have to find distance from given point to intersecting points of given equation. And then add all…

Q: A particle is moving with the given data a(t)= 3e^2t -2 cost, s(0)=0 and v(0)=0, find the position…

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

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Q: Use an appropriate substitution to solve the equation z15 and find the solution that satisfies y(1)…

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Q: Match the equation with its graph. 2t r(t) = ti + In(t)j + k, 0.1 < t< 5 3

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Q: Find the solution of the dy Qoec() +y d'ifferential equation.

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Q: Find the length of the curve r= e2θ, 0≤θ≤2

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Q: T:4x-34+2-2-0 Tz: dx+ Sy-32+4 = 0

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Q: Solve the equation ru, + (x + y)uy = 1 %3D on dof:

A: In this question, we solve the partial differential equation by using characteristic method.

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e9, where the value ab is as…

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Q: 2d) Let a e R find the solution of y' (x) – ay(x) = 0

A: as you didn't mention question number to be solvedso I solved first question. For Further solution…

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

A: Definition used-   To keep the temperature constant, the insect has to move in a direction that is…

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

A: As a first step we need to find the gradient of the surface and evaluate the same for the point (1,…

Q: Find the point on the graph of z = x2 + y2 + 10 nearest the plane x + 2y - z = 0.

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Q: Given f(x, y) = x² – 4y, the parabola x - 4y = 8 = 0 is the level curve o -8 None of the given…

A: The solution is given below

Q: Find the point on the parabola x = t, y = t2, -∞ &lt; t &lt; ∞ closest to the point (2, 1/2).

A: Given Data The first equation is x=t. The second equation is y=t². The point is (2,1/2).…

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A…

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1)…

Q: స్థాగ The length of the curve y = Ex3/2 between x = 0 and x = 1 is %3D 2/3

A: Length of the curve=∫ab1+f'(x)2dxy=f(x)=23x32f'(x)=23×32x12=xf'(x)=xLenth of the curve between x=0…

Q: (c) Given that y = x4 – 8x²

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Q: Find the value of k so that the value of (2y - 1) dy is 10.

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Q: Sketch an approximate solution curve that passes through each of the indicated points

A: Here is the solution of the given problem.

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…

Q: The line x=C where C70 intersects the cubic y= 2x3 + 3x²-9 a七 the point P and parabola y = 4x+ 4x +5…

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Q: Given the position function, s(t)=÷r' -3r² +5, describe the motion of the particle at t= 2

A: Calculate the first and second derivative to get the velocity and acceleration of the particle…

Q: An insect is moving on the surface of a hot plate, the temperature of which at the point x units to…

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Q: For x and y in meters, the motion of a particle is given by x=t^3−3t,    y=t^2−2t   i don't…

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Q: Find the points on the curve x2y = 2 nearest the origin.

A: The curve is x2y=2 Let x1,y1 and x2,y2 be two points, distance betwwen these points is x2-x12+y2-y12

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.