Find the value of d2y/dx2 at the point defined by the given value of t. x = 6t 2 - 3, y = t 5, t = 1 which one is the correct answer a)-5/48 b)-5/4 c)5/4 d)5/48

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Q: Ifx² + xy +y =7, find the value of dy at the point (1,2). %3D dx

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Q: 1- Sz x?e*y dxdy 2 exy 3

A: Since you have posted multiple questions I can do first question as per our company guidelines…

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Q: dy Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx Blank 1 Add your answer

A: Derivative with respect to x

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Q: (a) Approximate the value of dx, using two and three points Gauss Quadrature Vx+A A: O

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Q: a)Find the exact length L of the curve 3y? = (4x – 3)°, 1 0. Answer: b) Evaluate Sxe*dx Answer: 1 c)…

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Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

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Q: ds?--dt? 2tet dx dz +t2" dx? Calculate the tetrad components 7

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Q: Which one is an exact equation? (Зуш? — 1) dar + (2a3 + 3у) dy — 0 2у(а + у + 2)dx + (у? — а? — 4г —…

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Q: The sides of the rectangle below change according to = 1, = 34. What is dx/dt at the instant when x…

A: Given that the side of rectangle changes below, dzdt=1 dxdt=3dydt⇒dydt=13dxdt…

Q: Use the trapezoidal rule to find A- using the indicated value of n. dx; n = 8 3 3x +3 A, = (Round…

A: We will evaluate the integral by using trapezoidal rule as shown below

Q: b) Eiven that x -t'+ 3t² and y=tt- 8t? 2. Find dy i) Find when t=1 dz

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Q: Diferential equations dy dy 2 a) d (xe Sy² dy 1/ e = 1 eby - 10yx бу 5y² + 6y

A: Given differential equation is dydx = 1e6y -10 y xAlso, dxdy =e6y -10 y x

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Q: 4 Find the length of the curve y=x3 3 %3D x3 +5, 1 Record Audio Record Video Add a File

A: To find out the length of the curve.

Q: 1 By using completing the square, dx can be rewritten as Vx-4x-7 1 OA. V(r-2)2-3 1 dx Vr-2)2-11 OB.…

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Q: or which value of a the equation dz dy dx -1 oes hold? D a. 2 O b.1

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Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

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Q: Given DE: dy/dx = 2x?y!/2 Determine whether there's a unique solution to IVP at point (2,4)?

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Q: (a) For 0 <t < 12, when is the particle moving to the left? Explain your reasoning. which C

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Q: dy %3D dx = (9x + 4y + 1)?

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Q: Obtain the general solution unless otherwise instructed d²y 1. dr? - y = 10sin²x | dx2 SUMMARY OF…

A: Given differential equation, d2ydx2-y=10sin2(x) So corresponding homogeneous equation, d2ydx2-y=0

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Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: For which value of a the equation dz dy dx =1 -1 does hold? a. V3 O b.V3 Oc. V2 O d.2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.